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authorMouse <[email protected]>2015-10-20 11:25:13 -0400
committerMouse <[email protected]>2015-10-20 11:25:13 -0400
commitb81c246c9c741ef669a79749bc31795175a2a555 (patch)
treeb1291dc5ad4fff2193551e597aa01203327ffb5a /src/lib/pubkey/mce
parent44e90e8cf98c7f132c88510b51492c8630fb092c (diff)
parent194d7d3682bddbd534e211357dd5f817d01ab7ed (diff)
Merge pull request #2 from randombit/master
Update to match current Botan-1.11.22
Diffstat (limited to 'src/lib/pubkey/mce')
-rw-r--r--src/lib/pubkey/mce/binary_matrix.cpp96
-rw-r--r--src/lib/pubkey/mce/binary_matrix.h60
-rw-r--r--src/lib/pubkey/mce/code_based_key_gen.cpp133
-rw-r--r--src/lib/pubkey/mce/code_based_key_gen.h26
-rw-r--r--src/lib/pubkey/mce/code_based_util.h9
-rw-r--r--src/lib/pubkey/mce/gf2m_rootfind_dcmp.cpp531
-rw-r--r--src/lib/pubkey/mce/gf2m_rootfind_dcmp.h24
-rw-r--r--src/lib/pubkey/mce/gf2m_small_m.cpp115
-rw-r--r--src/lib/pubkey/mce/gf2m_small_m.h296
-rw-r--r--src/lib/pubkey/mce/goppa_code.cpp57
-rw-r--r--src/lib/pubkey/mce/goppa_code.h32
-rw-r--r--src/lib/pubkey/mce/info.txt16
-rw-r--r--src/lib/pubkey/mce/mce_internal.h52
-rw-r--r--src/lib/pubkey/mce/mce_kem.cpp38
-rw-r--r--src/lib/pubkey/mce/mce_kem.h6
-rw-r--r--src/lib/pubkey/mce/mceliece.cpp174
-rw-r--r--src/lib/pubkey/mce/mceliece.h203
-rw-r--r--src/lib/pubkey/mce/mceliece_key.cpp75
-rw-r--r--src/lib/pubkey/mce/mceliece_key.h126
-rw-r--r--src/lib/pubkey/mce/polyn_gf2m.cpp40
-rw-r--r--src/lib/pubkey/mce/polyn_gf2m.h26
-rw-r--r--src/lib/pubkey/mce/workfactor.cpp5
22 files changed, 954 insertions, 1186 deletions
diff --git a/src/lib/pubkey/mce/binary_matrix.cpp b/src/lib/pubkey/mce/binary_matrix.cpp
deleted file mode 100644
index 12c842669..000000000
--- a/src/lib/pubkey/mce/binary_matrix.cpp
+++ /dev/null
@@ -1,96 +0,0 @@
-/**
- * (C) Copyright Projet SECRET, INRIA, Rocquencourt
- * (C) Bhaskar Biswas and Nicolas Sendrier
- *
- * (C) 2014 cryptosource GmbH
- * (C) 2014 Falko Strenzke [email protected]
- *
- * Botan is released under the Simplified BSD License (see license.txt)
- *
- */
-
-#include <botan/internal/binary_matrix.h>
-#include <botan/internal/xor_buf.h>
-
-namespace Botan {
-
-binary_matrix::binary_matrix (u32bit rown, u32bit coln)
- {
- m_coln = coln;
- m_rown = rown;
- m_rwdcnt = (1 + (m_coln - 1) / BITS_PER_U32);
- m_elem = std::vector<u32bit>(m_rown * m_rwdcnt);
- }
-
-void binary_matrix::row_xor(u32bit a, u32bit b)
- {
- u32bit i;
- for(i=0;i<m_rwdcnt;i++)
- {
- m_elem[a*m_rwdcnt+i]^=m_elem[b*m_rwdcnt+i];
- }
- }
-
-//the matrix is reduced from LSB...(from right)
-secure_vector<int> binary_matrix::row_reduced_echelon_form()
- {
- u32bit i, failcnt, findrow, max=m_coln - 1;
-
- secure_vector<int> perm(m_coln);
- for(i=0;i<m_coln;i++)
- {
- perm[i]=i;//initialize permutation.
- }
- failcnt = 0;
-
- for(i=0;i<m_rown;i++,max--)
- {
- findrow=0;
- for(u32bit j=i;j<m_rown;j++)
- {
- if(coef(j,max))
- {
- if (i!=j)//not needed as ith row is 0 and jth row is 1.
- row_xor(i,j);//xor to the row.(swap)?
- findrow=1;
- break;
- }//largest value found (end if)
- }
-
- if(!findrow)//if no row with a 1 found then swap last column and the column with no 1 down.
- {
- perm[m_coln - m_rown - 1 - failcnt] = max;
- failcnt++;
- if (!max)
- {
- //CSEC_FREE_MEM_CHK_SET_NULL(*p_perm);
- //CSEC_THR_RETURN();
- perm.resize(0);
- }
- i--;
- }
- else
- {
- perm[i+m_coln - m_rown] = max;
- for(u32bit j=i+1;j<m_rown;j++)//fill the column downwards with 0's
- {
- if(coef(j,(max)))
- {
- row_xor(j,i);//check the arg. order.
- }
- }
-
- for(int j=i-1;j>=0;j--)//fill the column with 0's upwards too.
- {
- if(coef(j,(max)))
- {
- row_xor(j,i);
- }
- }
- }
- }//end for(i)
- return perm;
- }
-
-
-} // end namespace Botan
diff --git a/src/lib/pubkey/mce/binary_matrix.h b/src/lib/pubkey/mce/binary_matrix.h
deleted file mode 100644
index feb44632f..000000000
--- a/src/lib/pubkey/mce/binary_matrix.h
+++ /dev/null
@@ -1,60 +0,0 @@
-/**
- * (C) Copyright Projet SECRET, INRIA, Rocquencourt
- * (C) Bhaskar Biswas and Nicolas Sendrier
- *
- * (C) 2014 cryptosource GmbH
- * (C) 2014 Falko Strenzke [email protected]
- *
- * Botan is released under the Simplified BSD License (see license.txt)
- *
- */
-
-#ifndef BOTAN_BINARY_MATRIX_H__
-#define BOTAN_BINARY_MATRIX_H__
-
-#include <botan/secmem.h>
-
-namespace Botan {
-
-#define BITS_PER_U32 (8 * sizeof (u32bit))
-
-struct binary_matrix
- {
- public:
- binary_matrix(u32bit m_rown, u32bit m_coln);
-
- void row_xor(u32bit a, u32bit b);
- secure_vector<int> row_reduced_echelon_form();
-
- /**
- * return the coefficient out of F_2
- */
- u32bit coef(u32bit i, u32bit j)
- {
- return (m_elem[(i) * m_rwdcnt + (j) / BITS_PER_U32] >> (j % BITS_PER_U32)) & 1;
- };
-
- void set_coef_to_one(u32bit i, u32bit j)
- {
- m_elem[(i) * m_rwdcnt + (j) / BITS_PER_U32] |= (1UL << ((j) % BITS_PER_U32)) ;
- };
-
- void toggle_coeff(u32bit i, u32bit j)
- {
- m_elem[(i) * m_rwdcnt + (j) / BITS_PER_U32] ^= (1UL << ((j) % BITS_PER_U32)) ;
- }
-
- void set_to_zero()
- {
- zeroise(m_elem);
- }
-
- u32bit m_rown; // number of rows.
- u32bit m_coln; // number of columns.
- u32bit m_rwdcnt; // number of words in a row
- std::vector<u32bit> m_elem;
- };
-
-}
-
-#endif
diff --git a/src/lib/pubkey/mce/code_based_key_gen.cpp b/src/lib/pubkey/mce/code_based_key_gen.cpp
index a3749abef..44b1cb4d6 100644
--- a/src/lib/pubkey/mce/code_based_key_gen.cpp
+++ b/src/lib/pubkey/mce/code_based_key_gen.cpp
@@ -9,26 +9,139 @@
*
*/
-#include <botan/internal/code_based_key_gen.h>
-#include <botan/code_based_util.h>
-#include <botan/gf2m_rootfind_dcmp.h>
-#include <botan/internal/binary_matrix.h>
+#include <botan/mceliece.h>
+#include <botan/internal/code_based_util.h>
#include <botan/loadstor.h>
-#include <botan/polyn_gf2m.h>
namespace Botan {
namespace {
+struct binary_matrix
+ {
+ public:
+ binary_matrix(u32bit m_rown, u32bit m_coln);
+
+ void row_xor(u32bit a, u32bit b);
+ secure_vector<int> row_reduced_echelon_form();
+
+ /**
+ * return the coefficient out of F_2
+ */
+ u32bit coef(u32bit i, u32bit j)
+ {
+ return (m_elem[(i) * m_rwdcnt + (j) / 32] >> (j % 32)) & 1;
+ };
+
+ void set_coef_to_one(u32bit i, u32bit j)
+ {
+ m_elem[(i) * m_rwdcnt + (j) / 32] |= (static_cast<u32bit>(1) << ((j) % 32)) ;
+ };
+
+ void toggle_coeff(u32bit i, u32bit j)
+ {
+ m_elem[(i) * m_rwdcnt + (j) / 32] ^= (static_cast<u32bit>(1) << ((j) % 32)) ;
+ }
+
+ void set_to_zero()
+ {
+ zeroise(m_elem);
+ }
+
+ //private:
+ u32bit m_rown; // number of rows.
+ u32bit m_coln; // number of columns.
+ u32bit m_rwdcnt; // number of words in a row
+ std::vector<u32bit> m_elem;
+ };
+
+binary_matrix::binary_matrix (u32bit rown, u32bit coln)
+ {
+ m_coln = coln;
+ m_rown = rown;
+ m_rwdcnt = 1 + ((m_coln - 1) / 32);
+ m_elem = std::vector<u32bit>(m_rown * m_rwdcnt);
+ }
+
+void binary_matrix::row_xor(u32bit a, u32bit b)
+ {
+ u32bit i;
+ for(i=0;i<m_rwdcnt;i++)
+ {
+ m_elem[a*m_rwdcnt+i]^=m_elem[b*m_rwdcnt+i];
+ }
+ }
+
+//the matrix is reduced from LSB...(from right)
+secure_vector<int> binary_matrix::row_reduced_echelon_form()
+ {
+ u32bit i, failcnt, findrow, max=m_coln - 1;
+
+ secure_vector<int> perm(m_coln);
+ for(i=0;i<m_coln;i++)
+ {
+ perm[i]=i;//initialize permutation.
+ }
+ failcnt = 0;
+
+ for(i=0;i<m_rown;i++,max--)
+ {
+ findrow=0;
+ for(u32bit j=i;j<m_rown;j++)
+ {
+ if(coef(j,max))
+ {
+ if (i!=j)//not needed as ith row is 0 and jth row is 1.
+ row_xor(i,j);//xor to the row.(swap)?
+ findrow=1;
+ break;
+ }//largest value found (end if)
+ }
+
+ if(!findrow)//if no row with a 1 found then swap last column and the column with no 1 down.
+ {
+ perm[m_coln - m_rown - 1 - failcnt] = max;
+ failcnt++;
+ if (!max)
+ {
+ //CSEC_FREE_MEM_CHK_SET_NULL(*p_perm);
+ //CSEC_THR_RETURN();
+ perm.resize(0);
+ }
+ i--;
+ }
+ else
+ {
+ perm[i+m_coln - m_rown] = max;
+ for(u32bit j=i+1;j<m_rown;j++)//fill the column downwards with 0's
+ {
+ if(coef(j,(max)))
+ {
+ row_xor(j,i);//check the arg. order.
+ }
+ }
+
+ for(int j=i-1;j>=0;j--)//fill the column with 0's upwards too.
+ {
+ if(coef(j,(max)))
+ {
+ row_xor(j,i);
+ }
+ }
+ }
+ }//end for(i)
+ return perm;
+ }
+
void randomize_support(u32bit n, std::vector<gf2m> & L, RandomNumberGenerator & rng)
{
unsigned int i, j;
- gf2m_small_m::gf2m tmp;
+ gf2m tmp;
for (i = 0; i < n; ++i)
{
- gf2m_small_m::gf2m rnd;
+ gf2m rnd;
rng.randomize(reinterpret_cast<byte*>(&rnd), sizeof(rnd));
j = rnd % n; // no rejection sampling, but for useful code-based parameters with n <= 13 this seem tolerable
@@ -38,14 +151,14 @@ void randomize_support(u32bit n, std::vector<gf2m> & L, RandomNumberGenerator &
}
}
-std::unique_ptr<binary_matrix> generate_R(std::vector<gf2m> &L, polyn_gf2m* g, std::shared_ptr<gf2m_small_m::Gf2m_Field> sp_field, u32bit code_length, u32bit t )
+std::unique_ptr<binary_matrix> generate_R(std::vector<gf2m> &L, polyn_gf2m* g, std::shared_ptr<GF2m_Field> sp_field, u32bit code_length, u32bit t )
{
//L- Support
//t- Number of errors
//n- Length of the Goppa code
//m- The extension degree of the GF
//g- The generator polynomial.
- gf2m_small_m::gf2m x,y;
+ gf2m x,y;
u32bit i,j,k,r,n;
std::vector<int> Laux(code_length);
n=code_length;
@@ -112,7 +225,7 @@ McEliece_PrivateKey generate_mceliece_key( RandomNumberGenerator & rng, u32bit e
{
throw Invalid_Argument("invalid McEliece parameters");
}
- std::shared_ptr<gf2m_small_m::Gf2m_Field> sp_field ( new Gf2m_Field(ext_deg ));
+ std::shared_ptr<GF2m_Field> sp_field ( new GF2m_Field(ext_deg ));
//pick the support.........
std::vector<gf2m> L(code_length);
diff --git a/src/lib/pubkey/mce/code_based_key_gen.h b/src/lib/pubkey/mce/code_based_key_gen.h
deleted file mode 100644
index 6764e13d6..000000000
--- a/src/lib/pubkey/mce/code_based_key_gen.h
+++ /dev/null
@@ -1,26 +0,0 @@
-/**
- * (C) Copyright Projet SECRET, INRIA, Rocquencourt
- * (C) Bhaskar Biswas and Nicolas Sendrier
- *
- * (C) 2014 cryptosource GmbH
- * (C) 2014 Falko Strenzke [email protected]
- *
- * Botan is released under the Simplified BSD License (see license.txt)
- *
- */
-
-#ifndef BOTAN_CODE_BASED_KEY_GEN_H__
-#define BOTAN_CODE_BASED_KEY_GEN_H__
-
-#include <botan/mceliece_key.h>
-
-namespace Botan {
-
-McEliece_PrivateKey generate_mceliece_key(RandomNumberGenerator &rng,
- u32bit ext_deg,
- u32bit code_length,
- u32bit t);
-
-}
-
-#endif
diff --git a/src/lib/pubkey/mce/code_based_util.h b/src/lib/pubkey/mce/code_based_util.h
index 6b567dbff..a959ad0d3 100644
--- a/src/lib/pubkey/mce/code_based_util.h
+++ b/src/lib/pubkey/mce/code_based_util.h
@@ -13,6 +13,7 @@
#define BOTAN_CODE_BASED_UTIL_H__
#include <botan/gf2m_small_m.h>
+#include <stdexcept>
namespace Botan {
@@ -28,18 +29,18 @@ u16bit expand_mask_16bit(T tst)
return ~(result - 1);
}
-inline gf2m_small_m::gf2m gray_to_lex(gf2m_small_m::gf2m gray)
+inline gf2m gray_to_lex(gf2m gray)
{
- gf2m_small_m::gf2m result = gray ^ (gray>>8);
+ gf2m result = gray ^ (gray >> 8);
result ^= (result >> 4);
result ^= (result >> 2);
result ^= (result >> 1);
return result;
}
-inline gf2m_small_m::gf2m lex_to_gray(gf2m_small_m::gf2m lex)
+inline gf2m lex_to_gray(gf2m lex)
{
- return (lex>>1) ^ lex;
+ return (lex >> 1) ^ lex;
}
inline u32bit bit_size_to_byte_size(u32bit bit_size)
diff --git a/src/lib/pubkey/mce/gf2m_rootfind_dcmp.cpp b/src/lib/pubkey/mce/gf2m_rootfind_dcmp.cpp
index 2d4f06130..d23d05172 100644
--- a/src/lib/pubkey/mce/gf2m_rootfind_dcmp.cpp
+++ b/src/lib/pubkey/mce/gf2m_rootfind_dcmp.cpp
@@ -6,314 +6,307 @@
*
*/
-#include <botan/gf2m_rootfind_dcmp.h>
-#include <botan/gf2m_small_m.h>
+#include <botan/polyn_gf2m.h>
#include <botan/internal/bit_ops.h>
-#include <botan/code_based_util.h>
+#include <botan/internal/code_based_util.h>
-namespace Botan
-{
+namespace Botan {
namespace {
- u32bit patch_root_array(
- gf2m* res_root_arr,
- u32bit res_root_arr_len,
- u32bit root_pos)
- {
- volatile u32bit i;
- volatile gf2m patch_elem = 0x01;
- volatile gf2m cond_mask = (root_pos == res_root_arr_len);
- cond_mask = expand_mask_16bit(cond_mask);
- cond_mask = ~cond_mask; /* now cond = 1 if not enough roots */
- patch_elem &= cond_mask;
- for(i = 0; i < res_root_arr_len; i++)
- {
+u32bit patch_root_array(gf2m* res_root_arr,
+ u32bit res_root_arr_len,
+ u32bit root_pos)
+ {
+ volatile u32bit i;
+ volatile gf2m patch_elem = 0x01;
+ volatile gf2m cond_mask = (root_pos == res_root_arr_len);
+ cond_mask = expand_mask_16bit(cond_mask);
+ cond_mask = ~cond_mask; /* now cond = 1 if not enough roots */
+ patch_elem &= cond_mask;
+ for(i = 0; i < res_root_arr_len; i++)
+ {
gf2m masked_patch_elem = (patch_elem++) & cond_mask;
res_root_arr[i] ^= masked_patch_elem++;
- }
- return res_root_arr_len;
- }
-
-struct gf2m_decomp_rootfind_state
-{
- gf2m_decomp_rootfind_state(const polyn_gf2m & p_polyn, u32bit code_length);
-
- void calc_LiK(const polyn_gf2m & sigma);
- gf2m calc_Fxj_j_neq_0( const polyn_gf2m & sigma, gf2m j_gray);
- void calc_next_Aij();
- void calc_Ai_zero(const polyn_gf2m & sigma);
- secure_vector<gf2m> find_roots(const polyn_gf2m & sigma);
- u32bit get_code_length() const { return code_length; };
- u32bit code_length;
- secure_vector<gf2m> m_Lik; // size is outer_summands * m
- secure_vector<gf2m> m_Aij; // ...
- u32bit m_outer_summands;
- gf2m m_j;
- gf2m m_j_gray;
- gf2m m_sigma_3_l;
- gf2m m_sigma_3_neq_0_mask;
-} ;
-
+ }
+ return res_root_arr_len;
+ }
+
+class gf2m_decomp_rootfind_state
+ {
+ public:
+ gf2m_decomp_rootfind_state(const polyn_gf2m & p_polyn, u32bit code_length);
+
+ void calc_LiK(const polyn_gf2m & sigma);
+ gf2m calc_Fxj_j_neq_0( const polyn_gf2m & sigma, gf2m j_gray);
+ void calc_next_Aij();
+ void calc_Ai_zero(const polyn_gf2m & sigma);
+ secure_vector<gf2m> find_roots(const polyn_gf2m & sigma);
+ u32bit get_code_length() const { return code_length; };
+ u32bit code_length;
+ secure_vector<gf2m> m_Lik; // size is outer_summands * m
+ secure_vector<gf2m> m_Aij; // ...
+ u32bit m_outer_summands;
+ gf2m m_j;
+ gf2m m_j_gray;
+ gf2m m_sigma_3_l;
+ gf2m m_sigma_3_neq_0_mask;
+ };
/*
- * !! Attention: assumes gf2m is 16bit !!
- */
+* !! Attention: assumes gf2m is 16bit !!
+*/
#if 0
gf2m brootf_decomp__gray_to_lex(gf2m gray)
-{
- static_assert(sizeof(gf2m) == 2, "Expected size");
- gf2m result = gray ^ (gray>>8);
- result ^= (result >> 4);
- result ^= (result >> 2);
- result ^= (result >> 1);
- return result;
-}
+ {
+ static_assert(sizeof(gf2m) == 2, "Expected size");
+ gf2m result = gray ^ (gray>>8);
+ result ^= (result >> 4);
+ result ^= (result >> 2);
+ result ^= (result >> 1);
+ return result;
+ }
#endif
/**
- * calculates ceil((t-4)/5) = outer_summands - 1
- */
+* calculates ceil((t-4)/5) = outer_summands - 1
+*/
u32bit brootf_decomp__calc_sum_limit(u32bit t)
-{
- u32bit result;
- if(t < 4)
- {
- return 0;
- }
- result = t - 4;
- result += 4;
- result /= 5;
- return result;
-}
+ {
+ u32bit result;
+ if(t < 4)
+ {
+ return 0;
+ }
+ result = t - 4;
+ result += 4;
+ result /= 5;
+ return result;
+ }
+
}
secure_vector<gf2m> find_roots_gf2m_decomp(const polyn_gf2m & polyn, u32bit code_length)
-{
- gf2m_decomp_rootfind_state state(polyn, code_length);
- return state.find_roots(polyn);
-
-}
+ {
+ gf2m_decomp_rootfind_state state(polyn, code_length);
+ return state.find_roots(polyn);
+ }
+
+gf2m_decomp_rootfind_state::gf2m_decomp_rootfind_state(const polyn_gf2m & polyn, u32bit the_code_length) :
+ code_length(the_code_length)
+ {
+ gf2m coeff_3;
+ gf2m coeff_head;
+ std::shared_ptr<GF2m_Field> sp_field = polyn.get_sp_field();
+ int deg_sigma = polyn.get_degree();
+ if(deg_sigma <= 3)
+ {
+ throw std::exception();
+ }
+ this->m_j = 0;
+ coeff_3 = polyn.get_coef( 3);
+ coeff_head = polyn.get_coef( deg_sigma); /* dummy value for SCA CM */
+ if(coeff_3 != 0)
+ {
+ this->m_sigma_3_l = sp_field->gf_l_from_n(coeff_3);
+ this->m_sigma_3_neq_0_mask = 0xFFFF;
+ }
+ else
+ {
+ // dummy value needed for timing countermeasure
+ this->m_sigma_3_l = sp_field->gf_l_from_n(coeff_head);
+ this->m_sigma_3_neq_0_mask = 0 ;
+ }
-gf2m_decomp_rootfind_state::gf2m_decomp_rootfind_state(const polyn_gf2m & polyn, u32bit the_code_length)
- :code_length(the_code_length)
-{
-
- gf2m coeff_3;
- gf2m coeff_head;
- std::shared_ptr<gf2m_small_m::Gf2m_Field> sp_field = polyn.get_sp_field();
- int deg_sigma = polyn.get_degree();
- if(deg_sigma <= 3)
- {
- throw std::exception();
- }
- this->m_j = 0;
- coeff_3 = polyn.get_coef( 3);
- coeff_head = polyn.get_coef( deg_sigma); /* dummy value for SCA CM */
- if(coeff_3 != 0)
- {
- this->m_sigma_3_l = sp_field->gf_l_from_n(coeff_3);
- this->m_sigma_3_neq_0_mask = 0xFFFF;
- }
- else
- {
- // dummy value needed for timing countermeasure
- this->m_sigma_3_l = sp_field->gf_l_from_n(coeff_head);
- this->m_sigma_3_neq_0_mask = 0 ;
- }
-
- this->m_outer_summands = 1 + brootf_decomp__calc_sum_limit(deg_sigma);
- this->m_Lik.resize(this->m_outer_summands * sp_field->get_extension_degree());
- this->m_Aij.resize(this->m_outer_summands);
-}
+ this->m_outer_summands = 1 + brootf_decomp__calc_sum_limit(deg_sigma);
+ this->m_Lik.resize(this->m_outer_summands * sp_field->get_extension_degree());
+ this->m_Aij.resize(this->m_outer_summands);
+ }
void gf2m_decomp_rootfind_state::calc_Ai_zero(const polyn_gf2m & sigma)
-{
- u32bit i;
- /*
+ {
+ u32bit i;
+ /*
* this function assumes this the first gray code element is zero
*/
- for(i = 0; i < this->m_outer_summands; i++)
- {
- this->m_Aij[i] = sigma.get_coef(5*i);
- }
- this->m_j = 0;
- this->m_j_gray = 0;
-}
+ for(i = 0; i < this->m_outer_summands; i++)
+ {
+ this->m_Aij[i] = sigma.get_coef(5*i);
+ }
+ this->m_j = 0;
+ this->m_j_gray = 0;
+ }
void gf2m_decomp_rootfind_state::calc_next_Aij()
-{
- /*
+ {
+ /*
* upon function entry, we have in the state j, Aij.
* first thing, we declare Aij Aij_minusone and increase j.
* Case j=0 upon function entry also included, then Aij contains A_{i,j=0}.
*/
- u32bit i;
- gf2m diff, new_j_gray;
- u32bit Lik_pos_base;
-
- this->m_j++;
-
- new_j_gray = lex_to_gray(this->m_j);
-
- if(this->m_j & 1) /* half of the times */
- {
- Lik_pos_base = 0;
- }
- else if(this->m_j & 2) /* one quarter of the times */
- {
- Lik_pos_base = this->m_outer_summands;
- }
- else if( this->m_j & 4) /* one eighth of the times */
- {
- Lik_pos_base = this->m_outer_summands * 2;
- }
- else if( this->m_j & 8) /* one sixteenth of the times */
- {
- Lik_pos_base = this->m_outer_summands * 3;
- }
- else if( this->m_j & 16) /* ... */
- {
- Lik_pos_base = this->m_outer_summands * 4;
- }
- else
- {
- gf2m delta_offs = 5;
- diff = this->m_j_gray ^ new_j_gray;
- while(((static_cast<gf2m>(1) << delta_offs) & diff) == 0)
- {
- delta_offs++;
-
- }
- Lik_pos_base = delta_offs * this->m_outer_summands;
- }
- this->m_j_gray = new_j_gray;
-
- i = 0;
- for(; i < this->m_outer_summands; i++)
- {
- this->m_Aij[i] ^= this->m_Lik[Lik_pos_base + i];
- }
+ u32bit i;
+ gf2m diff, new_j_gray;
+ u32bit Lik_pos_base;
+
+ this->m_j++;
+
+ new_j_gray = lex_to_gray(this->m_j);
+
+ if(this->m_j & 1) /* half of the times */
+ {
+ Lik_pos_base = 0;
+ }
+ else if(this->m_j & 2) /* one quarter of the times */
+ {
+ Lik_pos_base = this->m_outer_summands;
+ }
+ else if( this->m_j & 4) /* one eighth of the times */
+ {
+ Lik_pos_base = this->m_outer_summands * 2;
+ }
+ else if( this->m_j & 8) /* one sixteenth of the times */
+ {
+ Lik_pos_base = this->m_outer_summands * 3;
+ }
+ else if( this->m_j & 16) /* ... */
+ {
+ Lik_pos_base = this->m_outer_summands * 4;
+ }
+ else
+ {
+ gf2m delta_offs = 5;
+ diff = this->m_j_gray ^ new_j_gray;
+ while(((static_cast<gf2m>(1) << delta_offs) & diff) == 0)
+ {
+ delta_offs++;
+
+ }
+ Lik_pos_base = delta_offs * this->m_outer_summands;
+ }
+ this->m_j_gray = new_j_gray;
+
+ i = 0;
+ for(; i < this->m_outer_summands; i++)
+ {
+ this->m_Aij[i] ^= this->m_Lik[Lik_pos_base + i];
+ }
+
+ }
-}
void gf2m_decomp_rootfind_state::calc_LiK(const polyn_gf2m & sigma)
-{
- std::shared_ptr<gf2m_small_m::Gf2m_Field> sp_field = sigma.get_sp_field();
- u32bit i, k, d;
- d = sigma.get_degree();
- for(k = 0; k < sp_field->get_extension_degree(); k++)
- {
- u32bit Lik_pos_base = k * this->m_outer_summands;
- gf2m alpha_l_k_tt2_ttj[4];
- alpha_l_k_tt2_ttj[0] = sp_field->gf_l_from_n(static_cast<gf2m>(1) << k);
- alpha_l_k_tt2_ttj[1] = sp_field->gf_mul_rrr(alpha_l_k_tt2_ttj[0], alpha_l_k_tt2_ttj[0]);
- alpha_l_k_tt2_ttj[2] = sp_field->gf_mul_rrr(alpha_l_k_tt2_ttj[1],alpha_l_k_tt2_ttj[1] );
-
- alpha_l_k_tt2_ttj[3] = sp_field->gf_mul_rrr(alpha_l_k_tt2_ttj[2], alpha_l_k_tt2_ttj[2]);
- for(i = 0; i < this->m_outer_summands; i++)
- {
- u32bit j;
- u32bit five_i = 5*i;
- u32bit Lik_pos = Lik_pos_base + i;
- this->m_Lik[Lik_pos] = 0;
- for(j = 0; j <= 3; j++)
+ {
+ std::shared_ptr<GF2m_Field> sp_field = sigma.get_sp_field();
+ u32bit i, k, d;
+ d = sigma.get_degree();
+ for(k = 0; k < sp_field->get_extension_degree(); k++)
{
- gf2m f, x;
- u32bit f_ind = five_i + (static_cast<u32bit>(1) << j);
- if(f_ind > d)
- {
- break;
- }
- f = sigma.get_coef( f_ind);
-
- x = sp_field->gf_mul_zrz(alpha_l_k_tt2_ttj[j], f);
- this->m_Lik[Lik_pos] ^= x;
+ u32bit Lik_pos_base = k * this->m_outer_summands;
+ gf2m alpha_l_k_tt2_ttj[4];
+ alpha_l_k_tt2_ttj[0] = sp_field->gf_l_from_n(static_cast<gf2m>(1) << k);
+ alpha_l_k_tt2_ttj[1] = sp_field->gf_mul_rrr(alpha_l_k_tt2_ttj[0], alpha_l_k_tt2_ttj[0]);
+ alpha_l_k_tt2_ttj[2] = sp_field->gf_mul_rrr(alpha_l_k_tt2_ttj[1],alpha_l_k_tt2_ttj[1] );
+
+ alpha_l_k_tt2_ttj[3] = sp_field->gf_mul_rrr(alpha_l_k_tt2_ttj[2], alpha_l_k_tt2_ttj[2]);
+ for(i = 0; i < this->m_outer_summands; i++)
+ {
+ u32bit j;
+ u32bit five_i = 5*i;
+ u32bit Lik_pos = Lik_pos_base + i;
+ this->m_Lik[Lik_pos] = 0;
+ for(j = 0; j <= 3; j++)
+ {
+ gf2m f, x;
+ u32bit f_ind = five_i + (static_cast<u32bit>(1) << j);
+ if(f_ind > d)
+ {
+ break;
+ }
+ f = sigma.get_coef( f_ind);
+
+ x = sp_field->gf_mul_zrz(alpha_l_k_tt2_ttj[j], f);
+ this->m_Lik[Lik_pos] ^= x;
+ }
+ }
}
- }
- }
-}
+ }
gf2m gf2m_decomp_rootfind_state::calc_Fxj_j_neq_0( const polyn_gf2m & sigma, gf2m j_gray)
-{
- //needs the A_{ij} to compute F(x)_j
- gf2m sum = 0;
- u32bit i;
- std::shared_ptr<gf2m_small_m::Gf2m_Field> sp_field = sigma.get_sp_field();
- gf2m xl_j_tt_5i, xl_j_tt_5, xl_gray_tt_3;
- gf2m jl_gray;
- jl_gray = sp_field->gf_l_from_n(j_gray);
- xl_j_tt_5 = sp_field->gf_square_rr(jl_gray);
- xl_gray_tt_3 = sp_field->gf_mul_rrr(xl_j_tt_5, jl_gray);
- xl_j_tt_5 = sp_field->gf_mul_rrr(xl_j_tt_5, xl_gray_tt_3);
-
-
- sum = sp_field->gf_mul_nrr(xl_gray_tt_3, this->m_sigma_3_l);
- sum &= this->m_sigma_3_neq_0_mask;
- /* here, we rely on compiler to be unable to optimize
+ {
+ //needs the A_{ij} to compute F(x)_j
+ gf2m sum = 0;
+ u32bit i;
+ std::shared_ptr<GF2m_Field> sp_field = sigma.get_sp_field();
+ gf2m xl_j_tt_5i, xl_j_tt_5, xl_gray_tt_3;
+ const gf2m jl_gray = sp_field->gf_l_from_n(j_gray);
+ xl_j_tt_5 = sp_field->gf_square_rr(jl_gray);
+ xl_gray_tt_3 = sp_field->gf_mul_rrr(xl_j_tt_5, jl_gray);
+ xl_j_tt_5 = sp_field->gf_mul_rrr(xl_j_tt_5, xl_gray_tt_3);
+
+
+ sum = sp_field->gf_mul_nrr(xl_gray_tt_3, this->m_sigma_3_l);
+ sum &= this->m_sigma_3_neq_0_mask;
+ /* here, we rely on compiler to be unable to optimize
* for the state->sigma_3_neq_0_mask value
*/
- /* treat i = 0 special: */
- sum ^= this->m_Aij[0];
- /* treat i = 1 special also */
- if(this->m_outer_summands > 1)
- {
- gf2m x;
- xl_j_tt_5i = xl_j_tt_5;
- x = sp_field->gf_mul_zrz(xl_j_tt_5, this->m_Aij[1]); /* x_j^{5i} A_i^j */
- sum ^= x;
- }
- for(i = 2; i < this->m_outer_summands; i++)
- {
- gf2m x;
- xl_j_tt_5i = sp_field->gf_mul_rrr(xl_j_tt_5i, xl_j_tt_5);
- // now x_j_tt_5i lives up to its name
- x = sp_field->gf_mul_zrz(xl_j_tt_5i, this->m_Aij[i]); /* x_j^{5i} A_i^(j) */
- sum ^= x;
- }
- return sum;
-}
-
+ /* treat i = 0 special: */
+ sum ^= this->m_Aij[0];
+ /* treat i = 1 special also */
+ if(this->m_outer_summands > 1)
+ {
+ gf2m x;
+ xl_j_tt_5i = xl_j_tt_5;
+ x = sp_field->gf_mul_zrz(xl_j_tt_5, this->m_Aij[1]); /* x_j^{5i} A_i^j */
+ sum ^= x;
+ }
+ for(i = 2; i < this->m_outer_summands; i++)
+ {
+ gf2m x;
+ xl_j_tt_5i = sp_field->gf_mul_rrr(xl_j_tt_5i, xl_j_tt_5);
+ // now x_j_tt_5i lives up to its name
+ x = sp_field->gf_mul_zrz(xl_j_tt_5i, this->m_Aij[i]); /* x_j^{5i} A_i^(j) */
+ sum ^= x;
+ }
+ return sum;
+ }
+secure_vector<gf2m> gf2m_decomp_rootfind_state::find_roots(const polyn_gf2m & sigma)
+ {
+ secure_vector<gf2m> result(sigma.get_degree());
+ u32bit root_pos = 0;
+ this->calc_Ai_zero(sigma);
+ this->calc_LiK(sigma);
+ do
+ {
+ gf2m eval_result;
+ if(this->m_j_gray == 0)
+ {
+ eval_result = sigma.get_coef( 0);
+ }
+ else
+ {
+ eval_result = this->calc_Fxj_j_neq_0(sigma, this->m_j_gray);
+ }
+
+ if(eval_result == 0)
+ {
+
+ result[root_pos] = this->m_j_gray;
+ root_pos++;
+
+ }
+ if(this->m_j + static_cast<u32bit>(1) == this->get_code_length())
+ {
+ break;
+ }
+ this->calc_next_Aij();
+ }while(1);
+
+ // side channel / fault attack countermeasure:
+ root_pos = patch_root_array(result.data(), result.size(), root_pos);
+ result.resize(root_pos);
+ return result;
+ }
-secure_vector<gf2m> gf2m_decomp_rootfind_state::find_roots(const polyn_gf2m & sigma)
-{
-
- secure_vector<gf2m> result(sigma.get_degree());
- u32bit root_pos = 0;
-
- this->calc_Ai_zero(sigma);
- this->calc_LiK(sigma);
- do
- {
- gf2m eval_result;
- if(this->m_j_gray == 0)
- {
- eval_result = sigma.get_coef( 0);
- }
- else
- {
- eval_result = this->calc_Fxj_j_neq_0(sigma, this->m_j_gray);
- }
-
- if(eval_result == 0)
- {
-
- result[root_pos] = this->m_j_gray;
- root_pos++;
-
- }
- if(this->m_j + static_cast<u32bit>(1) == this->get_code_length())
- {
- break;
- }
- this->calc_next_Aij();
- }while(1);
-
- // side channel / fault attack countermeasure:
- root_pos = patch_root_array(result.data(), result.size(), root_pos);
- result.resize(root_pos);
- return result;
-}
} // end namespace Botan
diff --git a/src/lib/pubkey/mce/gf2m_rootfind_dcmp.h b/src/lib/pubkey/mce/gf2m_rootfind_dcmp.h
deleted file mode 100644
index 5914ad3ae..000000000
--- a/src/lib/pubkey/mce/gf2m_rootfind_dcmp.h
+++ /dev/null
@@ -1,24 +0,0 @@
-/**
- * (C) 2014 cryptosource GmbH
- * (C) 2014 Falko Strenzke [email protected]
- *
- * Botan is released under the Simplified BSD License (see license.txt)
- */
-
-#ifndef BOTAN_GF2M_ROOTFIND_DCMP_H__
-#define BOTAN_GF2M_ROOTFIND_DCMP_H__
-
-#include <botan/polyn_gf2m.h>
-
-namespace Botan {
-
-/**
-* Find the roots of a polynomial over GF(2^m) using the method by Federenko
-* et al.
-*/
-secure_vector<gf2m> find_roots_gf2m_decomp(const polyn_gf2m & polyn,
- u32bit code_length);
-
-}
-
-#endif
diff --git a/src/lib/pubkey/mce/gf2m_small_m.cpp b/src/lib/pubkey/mce/gf2m_small_m.cpp
index 3de748939..11da30962 100644
--- a/src/lib/pubkey/mce/gf2m_small_m.cpp
+++ b/src/lib/pubkey/mce/gf2m_small_m.cpp
@@ -9,14 +9,11 @@
*/
#include <botan/gf2m_small_m.h>
-#include <botan/code_based_util.h>
#include <string>
#include <stdexcept>
namespace Botan {
-namespace gf2m_small_m {
-
#define MAX_EXT_DEG 16
namespace {
@@ -41,78 +38,94 @@ unsigned int prim_poly[MAX_EXT_DEG + 1] = {
0210013 /* extension degree 16 */
};
-}
-
-u32bit encode_gf2m(gf2m to_enc, byte* mem)
+std::vector<gf2m> gf_exp_table(size_t deg, gf2m prime_poly)
{
- mem[0] = to_enc >> 8;
- mem[1] = to_enc & 0xFF;
- return sizeof(to_enc);
+ // construct the table gf_exp[i]=alpha^i
+
+ std::vector<gf2m> tab((1 << deg) + 1);
+
+ tab[0] = 1;
+ for(size_t i = 1; i < tab.size(); ++i)
+ {
+ const bool overflow = tab[i - 1] >> (deg - 1);
+ tab[i] = (tab[i-1] << 1) ^ (overflow ? prime_poly : 0);
+ }
+
+ return tab;
}
-gf2m decode_gf2m(const byte* mem)
+const std::vector<gf2m>& exp_table(size_t deg)
{
- gf2m result;
- result = mem[0] << 8;
- result |= mem[1];
- return result;
+ static std::vector<gf2m> tabs[MAX_EXT_DEG + 1];
+
+ if(deg < 2 || deg > MAX_EXT_DEG)
+ throw std::runtime_error("GF2m_Field does not support degree " + std::to_string(deg));
+
+ if(tabs[deg].empty())
+ tabs[deg] = gf_exp_table(deg, prim_poly[deg]);
+
+ return tabs[deg];
}
-// construct the table gf_exp[i]=alpha^i
-void Gf2m_Field::init_exp()
+std::vector<gf2m> gf_log_table(size_t deg, const std::vector<gf2m>& exp)
{
- m_gf_exp_table.resize(1 << get_extension_degree());
+ std::vector<gf2m> tab(1 << deg);
- m_gf_exp_table[0] = 1;
- for(size_t i = 1; i < gf_ord(); ++i)
+ tab[0] = (1 << deg) - 1; // log of 0 is the order by convention
+ for (size_t i = 0; i < tab.size(); ++i)
{
- m_gf_exp_table[i] = m_gf_exp_table[i - 1] << 1;
- if (m_gf_exp_table[i - 1] & (1 << (get_extension_degree()-1)))
- {
- m_gf_exp_table[i] ^= prim_poly[get_extension_degree()];
- }
+ tab[exp[i]] = i;
}
-
- // hack for the multiplication
- m_gf_exp_table[gf_ord()] = 1;
+ return tab;
}
-// construct the table gf_log[alpha^i]=i
-void Gf2m_Field::init_log()
+const std::vector<gf2m>& log_table(size_t deg)
{
- m_gf_log_table.resize(1 << get_extension_degree());
+ static std::vector<gf2m> tabs[MAX_EXT_DEG + 1];
- m_gf_log_table[0] = gf_ord(); // log of 0 par convention
- for (size_t i = 0; i < gf_ord() ; ++i)
- {
- m_gf_log_table[m_gf_exp_table[i]] = i;
- }
+ if(deg < 2 || deg > MAX_EXT_DEG)
+ throw std::runtime_error("GF2m_Field does not support degree " + std::to_string(deg));
+
+ if(tabs[deg].empty())
+ tabs[deg] = gf_log_table(deg, exp_table(deg));
+
+ return tabs[deg];
}
+}
-Gf2m_Field::Gf2m_Field(size_t extdeg)
+u32bit encode_gf2m(gf2m to_enc, byte* mem)
{
- if(extdeg < 2 || extdeg > MAX_EXT_DEG)
- throw std::runtime_error("Gf2m_Field does not support degree " + std::to_string(extdeg));
+ mem[0] = to_enc >> 8;
+ mem[1] = to_enc & 0xFF;
+ return sizeof(to_enc);
+ }
- m_gf_extension_degree = extdeg;
- m_gf_cardinality = 1 << extdeg;
- m_gf_multiplicative_order = m_gf_cardinality - 1;
+gf2m decode_gf2m(const byte* mem)
+ {
+ gf2m result;
+ result = mem[0] << 8;
+ result |= mem[1];
+ return result;
+ }
- init_exp();
- init_log();
+GF2m_Field::GF2m_Field(size_t extdeg) : m_gf_extension_degree(extdeg),
+ m_gf_multiplicative_order((1 << extdeg) - 1),
+ m_gf_log_table(log_table(m_gf_extension_degree)),
+ m_gf_exp_table(exp_table(m_gf_extension_degree))
+ {
}
-gf2m Gf2m_Field::gf_div(gf2m x, gf2m y)
+gf2m GF2m_Field::gf_div(gf2m x, gf2m y) const
{
- s32bit sub_res = static_cast<s32bit>(m_gf_log_table[x]) - static_cast<s32bit>( m_gf_log_table[y]);
- s32bit modq_res = static_cast<s32bit>(_gf_modq_1(sub_res));
- s32bit div_res = static_cast<s32bit>(x) ? static_cast<s32bit>(m_gf_exp_table[modq_res]) : 0;
+ const s32bit sub_res = static_cast<s32bit>(gf_log(x) - static_cast<s32bit>(gf_log(y)));
+ const s32bit modq_res = static_cast<s32bit>(_gf_modq_1(sub_res));
+ const s32bit div_res = static_cast<s32bit>(x) ? static_cast<s32bit>(gf_exp(modq_res)) : 0;
return static_cast<gf2m>(div_res);
}
// we suppose i >= 0. Par convention 0^0 = 1
-gf2m Gf2m_Field::gf_pow(gf2m x, int i)
+gf2m GF2m_Field::gf_pow(gf2m x, int i) const
{
if (i == 0)
return 1;
@@ -123,13 +136,11 @@ gf2m Gf2m_Field::gf_pow(gf2m x, int i)
// i mod (q-1)
while (i >> get_extension_degree())
i = (i & (gf_ord())) + (i >> get_extension_degree());
- i *= m_gf_log_table[x];
+ i *= gf_log(x);
while (i >> get_extension_degree())
i = (i & (gf_ord())) + (i >> get_extension_degree());
- return m_gf_exp_table[i];
+ return gf_exp(i);
}
}
}
-
-}
diff --git a/src/lib/pubkey/mce/gf2m_small_m.h b/src/lib/pubkey/mce/gf2m_small_m.h
index 223dfd511..6a8de4424 100644
--- a/src/lib/pubkey/mce/gf2m_small_m.h
+++ b/src/lib/pubkey/mce/gf2m_small_m.h
@@ -17,213 +17,199 @@
namespace Botan {
-namespace gf2m_small_m {
-
typedef u16bit gf2m;
-class Gf2m_Field
+/**
+* GF(2^m) field for m = [2...16]
+*/
+class BOTAN_DLL GF2m_Field
{
public:
- Gf2m_Field(size_t extdeg);
+ GF2m_Field(size_t extdeg);
- gf2m gf_mul(gf2m x, gf2m y)
+ gf2m gf_mul(gf2m x, gf2m y) const
{
return ((x) ? gf_mul_fast(x, y) : 0);
}
- gf2m gf_square(gf2m x)
+ gf2m gf_square(gf2m x) const
{
- return ((x) ? m_gf_exp_table[_gf_modq_1(m_gf_log_table[x] << 1)] : 0);
+ return ((x) ? gf_exp(_gf_modq_1(gf_log(x) << 1)) : 0);
}
- gf2m square_rr(gf2m x)
+ gf2m square_rr(gf2m x) const
{
return _gf_modq_1(x << 1);
}
- // naming convention of GF(2^m) field operations:
- // l logarithmic, unreduced
- // r logarithmic, reduced
- // n normal, non-zero
- // z normal, might be zero
- //
- inline gf2m gf_mul_lll(gf2m a, gf2m b);
- inline gf2m gf_mul_rrr(gf2m a, gf2m b);
- inline gf2m gf_mul_nrr(gf2m a, gf2m b);
- inline gf2m gf_mul_rrn(gf2m a, gf2m y);
- inline gf2m gf_mul_lnn(gf2m x, gf2m y);
- inline gf2m gf_mul_rnn(gf2m x, gf2m y);
- inline gf2m gf_mul_nrn(gf2m a, gf2m y);
- inline gf2m gf_mul_rnr(gf2m y, gf2m a);
- inline gf2m gf_mul_zrz(gf2m a, gf2m y);
- inline gf2m gf_mul_zzr(gf2m a, gf2m y);
- inline gf2m gf_mul_nnr(gf2m y, gf2m a);
- inline gf2m gf_sqrt(gf2m x) ;
- gf2m gf_div(gf2m x, gf2m y);
- inline gf2m gf_div_rnn(gf2m x, gf2m y);
- inline gf2m gf_div_rnr(gf2m x, gf2m b);
- inline gf2m gf_div_nrr(gf2m a, gf2m b);
- inline gf2m gf_div_zzr(gf2m x, gf2m b);
- inline gf2m gf_inv(gf2m x);
- inline gf2m gf_inv_rn(gf2m x);
- inline gf2m gf_square_ln(gf2m x);
- inline gf2m gf_square_rr(gf2m a) ;
- inline gf2m gf_l_from_n(gf2m x);
+ gf2m gf_mul_fast(gf2m x, gf2m y) const
+ {
+ return ((y) ? gf_exp(_gf_modq_1(gf_log(x) + gf_log(y))) : 0);
+ }
- inline gf2m gf_mul_fast(gf2m a, gf2m b);
+ /*
+ naming convention of GF(2^m) field operations:
+ l logarithmic, unreduced
+ r logarithmic, reduced
+ n normal, non-zero
+ z normal, might be zero
+ */
- gf2m gf_exp(gf2m i)
+ gf2m gf_mul_lll(gf2m a, gf2m b) const
{
- return m_gf_exp_table[i]; /* alpha^i */
+ return (a + b);
}
- gf2m gf_log(gf2m i)
+ gf2m gf_mul_rrr(gf2m a, gf2m b) const
{
- return m_gf_log_table[i]; /* return i when x=alpha^i */
+ return (_gf_modq_1(gf_mul_lll(a, b)));
}
- inline gf2m gf_ord() const
+ gf2m gf_mul_nrr(gf2m a, gf2m b) const
{
- return m_gf_multiplicative_order;
+ return (gf_exp(gf_mul_rrr(a, b)));
}
- inline gf2m get_extension_degree() const
+ gf2m gf_mul_rrn(gf2m a, gf2m y) const
{
- return m_gf_extension_degree;
+ return _gf_modq_1(gf_mul_lll(a, gf_log(y)));
}
- inline gf2m get_cardinality() const
+ gf2m gf_mul_rnr(gf2m y, gf2m a) const
{
- return m_gf_cardinality;
+ return gf_mul_rrn(a, y);
}
- gf2m gf_pow(gf2m x, int i) ;
+ gf2m gf_mul_lnn(gf2m x, gf2m y) const
+ {
+ return (gf_log(x) + gf_log(y));
+ }
- private:
- gf2m m_gf_extension_degree, m_gf_cardinality, m_gf_multiplicative_order;
- std::vector<gf2m> m_gf_log_table;
- std::vector<gf2m> m_gf_exp_table;
+ gf2m gf_mul_rnn(gf2m x, gf2m y) const
+ {
+ return _gf_modq_1(gf_mul_lnn(x, y));
+ }
- inline gf2m _gf_modq_1(s32bit d);
- void init_log();
- void init_exp();
- };
+ gf2m gf_mul_nrn(gf2m a, gf2m y) const
+ {
+ return gf_exp(_gf_modq_1((a) + gf_log(y)));
+ }
-gf2m Gf2m_Field::_gf_modq_1(s32bit d)
- {
- return (((d) & gf_ord()) + ((d) >> m_gf_extension_degree));
- }
+ /**
+ * zero operand allowed
+ */
+ gf2m gf_mul_zrz(gf2m a, gf2m y) const
+ {
+ return ( (y == 0) ? 0 : gf_mul_nrn(a, y) );
+ }
-gf2m Gf2m_Field::gf_mul_fast(gf2m x, gf2m y)
- {
- return ((y) ? m_gf_exp_table[_gf_modq_1(m_gf_log_table[x] + m_gf_log_table[y])] : 0);
- }
+ gf2m gf_mul_zzr(gf2m a, gf2m y) const
+ {
+ return gf_mul_zrz(y, a);
+ }
-gf2m Gf2m_Field::gf_mul_lll(gf2m a, gf2m b)
- {
- return (a + b);
- }
+ /**
+ * non-zero operand
+ */
+ gf2m gf_mul_nnr(gf2m y, gf2m a) const
+ {
+ return gf_mul_nrn(a, y);
+ }
-gf2m Gf2m_Field::gf_mul_rrr(gf2m a, gf2m b)
- {
- return (_gf_modq_1(gf_mul_lll(a, b)));
- }
+ gf2m gf_sqrt(gf2m x) const
+ {
+ return ((x) ? gf_exp(_gf_modq_1(gf_log(x) << (get_extension_degree()-1))) : 0);
+ }
-gf2m Gf2m_Field::gf_mul_nrr(gf2m a, gf2m b)
- {
- return (gf_exp(gf_mul_rrr(a, b)));
- }
+ gf2m gf_div_rnn(gf2m x, gf2m y) const
+ {
+ return _gf_modq_1(gf_log(x) - gf_log(y));
+ }
-gf2m Gf2m_Field::gf_mul_rrn(gf2m a, gf2m y)
- {
- return _gf_modq_1(gf_mul_lll(a, gf_log(y)));
- }
+ gf2m gf_div_rnr(gf2m x, gf2m b) const
+ {
+ return _gf_modq_1(gf_log(x) - b);
+ }
-gf2m Gf2m_Field::gf_mul_rnr(gf2m y, gf2m a)
- {
- return gf_mul_rrn(a, y);
- }
+ gf2m gf_div_nrr(gf2m a, gf2m b) const
+ {
+ return gf_exp(_gf_modq_1(a - b));
+ }
-gf2m Gf2m_Field::gf_mul_lnn(gf2m x, gf2m y)
- {
- return (m_gf_log_table[x] + m_gf_log_table[y]);
- }
-gf2m Gf2m_Field::gf_mul_rnn(gf2m x, gf2m y)
- {
- return _gf_modq_1(gf_mul_lnn(x, y));
- }
+ gf2m gf_div_zzr(gf2m x, gf2m b) const
+ {
+ return ((x) ? gf_exp(_gf_modq_1(gf_log(x) - b)) : 0);
+ }
-gf2m Gf2m_Field::gf_mul_nrn(gf2m a, gf2m y)
- {
- return m_gf_exp_table[_gf_modq_1((a) + m_gf_log_table[y])];
- }
+ gf2m gf_inv(gf2m x) const
+ {
+ return gf_exp(gf_ord() - gf_log(x));
+ }
-/**
-* zero operand allowed
-*/
-gf2m Gf2m_Field::gf_mul_zrz(gf2m a, gf2m y)
- {
- return ( (y == 0) ? 0 : gf_mul_nrn(a, y) );
- }
+ gf2m gf_inv_rn(gf2m x) const
+ {
+ return (gf_ord() - gf_log(x));
+ }
-gf2m Gf2m_Field::gf_mul_zzr(gf2m a, gf2m y)
- {
- return gf_mul_zrz(y, a);
- }
-/**
-* non-zero operand
-*/
-gf2m Gf2m_Field::gf_mul_nnr(gf2m y, gf2m a)
- {
- return gf_mul_nrn( a, y);
- }
+ gf2m gf_square_ln(gf2m x) const
+ {
+ return gf_log(x) << 1;
+ }
-gf2m Gf2m_Field::gf_sqrt(gf2m x)
- {
- return ((x) ? m_gf_exp_table[_gf_modq_1(m_gf_log_table[x] << (m_gf_extension_degree-1))] : 0);
- }
+ gf2m gf_square_rr(gf2m a) const
+ {
+ return a << 1;
+ }
-gf2m Gf2m_Field::gf_div_rnn(gf2m x, gf2m y)
- {
- return _gf_modq_1(m_gf_log_table[x] - m_gf_log_table[y]);
- }
-gf2m Gf2m_Field::gf_div_rnr(gf2m x, gf2m b)
- {
- return _gf_modq_1(m_gf_log_table[x] - b);
- }
-gf2m Gf2m_Field::gf_div_nrr(gf2m a, gf2m b)
- {
- return m_gf_exp_table[_gf_modq_1(a - b)];
- }
+ gf2m gf_l_from_n(gf2m x) const
+ {
+ return gf_log(x);
+ }
-gf2m Gf2m_Field::gf_div_zzr(gf2m x, gf2m b)
- {
- return ((x) ? m_gf_exp_table[_gf_modq_1(m_gf_log_table[x] - b)] : 0);
- }
+ gf2m gf_div(gf2m x, gf2m y) const;
-gf2m Gf2m_Field::gf_inv(gf2m x)
- {
- return m_gf_exp_table[gf_ord() - m_gf_log_table[x]];
- }
-gf2m Gf2m_Field::gf_inv_rn(gf2m x)
- {
- return (gf_ord() - m_gf_log_table[x]);
- }
+ gf2m gf_pow(gf2m x, int i) const;
-gf2m Gf2m_Field::gf_square_ln(gf2m x)
- {
- return m_gf_log_table[x] << 1;
- }
+ gf2m gf_exp(gf2m i) const
+ {
+ return m_gf_exp_table.at(i); /* alpha^i */
+ }
-gf2m Gf2m_Field::gf_square_rr(gf2m a)
- {
- return a << 1;
- }
+ gf2m gf_log(gf2m i) const
+ {
+ return m_gf_log_table.at(i); /* return i when x=alpha^i */
+ }
-gf2m Gf2m_Field::gf_l_from_n(gf2m x)
- {
- return m_gf_log_table[x];
- }
+ gf2m gf_ord() const
+ {
+ return m_gf_multiplicative_order;
+ }
+
+ gf2m get_extension_degree() const
+ {
+ return m_gf_extension_degree;
+ }
+
+ gf2m get_cardinality() const
+ {
+ return static_cast<gf2m>(1 << get_extension_degree());
+ }
+
+ private:
+ gf2m _gf_modq_1(s32bit d) const
+ {
+ /* residual modulo q-1
+ when -q < d < 0, we get (q-1+d)
+ when 0 <= d < q, we get (d)
+ when q <= d < 2q-1, we get (d-q+1)
+ */
+ return (((d) & gf_ord()) + ((d) >> get_extension_degree()));
+ }
+
+ gf2m m_gf_extension_degree, m_gf_multiplicative_order;
+ const std::vector<gf2m>& m_gf_log_table;
+ const std::vector<gf2m>& m_gf_exp_table;
+ };
u32bit encode_gf2m(gf2m to_enc, byte* mem);
@@ -231,6 +217,4 @@ gf2m decode_gf2m(const byte* mem);
}
-}
-
#endif
diff --git a/src/lib/pubkey/mce/goppa_code.cpp b/src/lib/pubkey/mce/goppa_code.cpp
index 175508eac..637b8175a 100644
--- a/src/lib/pubkey/mce/goppa_code.cpp
+++ b/src/lib/pubkey/mce/goppa_code.cpp
@@ -9,10 +9,8 @@
*
*/
-#include <botan/goppa_code.h>
-
-#include <botan/gf2m_rootfind_dcmp.h>
-#include <botan/code_based_util.h>
+#include <botan/internal/mce_internal.h>
+#include <botan/internal/code_based_util.h>
namespace Botan {
@@ -48,7 +46,7 @@ secure_vector<gf2m> goppa_decode(const polyn_gf2m & syndrom_polyn,
u32bit code_length = Linv.size();
u32bit t = g.get_degree();
- std::shared_ptr<gf2m_small_m::Gf2m_Field> sp_field = g.get_sp_field();
+ std::shared_ptr<GF2m_Field> sp_field = g.get_sp_field();
std::pair<polyn_gf2m, polyn_gf2m> h__aux = polyn_gf2m::eea_with_coefficients( syndrom_polyn, g, 1);
polyn_gf2m & h = h__aux.first;
@@ -125,6 +123,37 @@ secure_vector<gf2m> goppa_decode(const polyn_gf2m & syndrom_polyn,
}
}
+void mceliece_decrypt(secure_vector<byte>& plaintext_out,
+ secure_vector<byte>& error_mask_out,
+ const secure_vector<byte>& ciphertext,
+ const McEliece_PrivateKey& key)
+ {
+ mceliece_decrypt(plaintext_out, error_mask_out, ciphertext.data(), ciphertext.size(), key);
+ }
+
+void mceliece_decrypt(
+ secure_vector<byte>& plaintext,
+ secure_vector<byte> & error_mask,
+ const byte ciphertext[],
+ size_t ciphertext_len,
+ const McEliece_PrivateKey & key)
+ {
+ secure_vector<gf2m> error_pos;
+ plaintext = mceliece_decrypt(error_pos, ciphertext, ciphertext_len, key);
+
+ const size_t code_length = key.get_code_length();
+ secure_vector<byte> result((code_length+7)/8);
+ for(auto&& pos : error_pos)
+ {
+ if(pos > code_length)
+ {
+ throw std::invalid_argument("error position larger than code size");
+ }
+ result[pos / 8] |= (1 << (pos % 8));
+ }
+
+ error_mask = result;
+ }
/**
* @param p_err_pos_len must point to the available length of err_pos on input, the
@@ -154,30 +183,27 @@ secure_vector<byte> mceliece_decrypt(
throw Invalid_Argument("mce-decryption: wrong length of cleartext buffer");
}
-
secure_vector<u32bit> syndrome_vec(bit_size_to_32bit_size(codimension));
- matrix_arr_mul(
- key.get_H_coeffs(),
- key.get_code_length(),
- bit_size_to_32bit_size(codimension),
- ciphertext,
- syndrome_vec.data(), syndrome_vec.size() );
+ matrix_arr_mul(key.get_H_coeffs(),
+ key.get_code_length(),
+ bit_size_to_32bit_size(codimension),
+ ciphertext,
+ syndrome_vec.data(), syndrome_vec.size());
+
secure_vector<byte> syndrome_byte_vec(bit_size_to_byte_size(codimension));
u32bit syndrome_byte_vec_size = syndrome_byte_vec.size();
for(u32bit i = 0; i < syndrome_byte_vec_size; i++)
{
syndrome_byte_vec[i] = syndrome_vec[i/4] >> (8* (i % 4));
}
- syndrome_polyn = polyn_gf2m(t-1, syndrome_byte_vec.data(), bit_size_to_byte_size(codimension), key.get_goppa_polyn().get_sp_field());
-
+ syndrome_polyn = polyn_gf2m(t-1, syndrome_byte_vec.data(), bit_size_to_byte_size(codimension), key.get_goppa_polyn().get_sp_field());
syndrome_polyn.get_degree();
error_pos = goppa_decode(syndrome_polyn, key.get_goppa_polyn(), key.get_sqrtmod(), key.get_Linv());
u32bit nb_err = error_pos.size();
-
secure_vector<byte> cleartext(cleartext_len);
copy_mem(cleartext.data(), ciphertext, cleartext_len);
@@ -192,6 +218,7 @@ secure_vector<byte> mceliece_decrypt(
}
cleartext[current / 8] ^= (1 << (current % 8));
}
+
if(unused_pt_bits)
{
cleartext[cleartext_len - 1] &= unused_pt_bits_mask;
diff --git a/src/lib/pubkey/mce/goppa_code.h b/src/lib/pubkey/mce/goppa_code.h
deleted file mode 100644
index 377cd9b3d..000000000
--- a/src/lib/pubkey/mce/goppa_code.h
+++ /dev/null
@@ -1,32 +0,0 @@
-/**
- * (C) Copyright Projet SECRET, INRIA, Rocquencourt
- * (C) Bhaskar Biswas and Nicolas Sendrier
- *
- * (C) 2014 cryptosource GmbH
- * (C) 2014 Falko Strenzke [email protected]
- *
- * Botan is released under the Simplified BSD License (see license.txt)
- *
- */
-
-#ifndef BOTAN_MCE_GOPPA_CODE_H__
-#define BOTAN_MCE_GOPPA_CODE_H__
-
-#include <botan/polyn_gf2m.h>
-#include <botan/mceliece_key.h>
-
-namespace Botan {
-
-std::vector<byte> mceliece_encrypt(const secure_vector<byte>& cleartext,
- const std::vector<byte>& public_matrix,
- const secure_vector<gf2m> & err_pos,
- u32bit code_length);
-
-secure_vector<byte> mceliece_decrypt(secure_vector<gf2m> & error_pos,
- const byte *ciphertext,
- u32bit ciphertext_len,
- const McEliece_PrivateKey& key);
-
-}
-
-#endif
diff --git a/src/lib/pubkey/mce/info.txt b/src/lib/pubkey/mce/info.txt
index c06e23b8e..1e9b848dd 100644
--- a/src/lib/pubkey/mce/info.txt
+++ b/src/lib/pubkey/mce/info.txt
@@ -1,17 +1,17 @@
-define MCELIECE 20141124
+define MCELIECE 20150922
<header:public>
-code_based_util.h
-gf2m_rootfind_dcmp.h
-gf2m_small_m.h
-goppa_code.h
mce_kem.h
mceliece.h
-mceliece_key.h
polyn_gf2m.h
+gf2m_small_m.h
</header:public>
<header:internal>
-binary_matrix.h
-code_based_key_gen.h
+code_based_util.h
+mce_internal.h
</header:internal>
+
+<requires>
+sha2_64
+</requires>
diff --git a/src/lib/pubkey/mce/mce_internal.h b/src/lib/pubkey/mce/mce_internal.h
new file mode 100644
index 000000000..d35479080
--- /dev/null
+++ b/src/lib/pubkey/mce/mce_internal.h
@@ -0,0 +1,52 @@
+/**
+ * (C) Copyright Projet SECRET, INRIA, Rocquencourt
+ * (C) Bhaskar Biswas and Nicolas Sendrier
+ *
+ * (C) 2014 cryptosource GmbH
+ * (C) 2014 Falko Strenzke [email protected]
+ *
+ * Botan is released under the Simplified BSD License (see license.txt)
+ *
+ */
+
+#ifndef BOTAN_MCELIECE_INTERNAL_H__
+#define BOTAN_MCELIECE_INTERNAL_H__
+
+#include <botan/secmem.h>
+#include <botan/types.h>
+#include <botan/pk_ops.h>
+#include <botan/mceliece.h>
+
+namespace Botan {
+
+void mceliece_decrypt(secure_vector<byte>& plaintext_out,
+ secure_vector<byte>& error_mask_out,
+ const byte ciphertext[],
+ size_t ciphertext_len,
+ const McEliece_PrivateKey& key);
+
+void mceliece_decrypt(secure_vector<byte>& plaintext_out,
+ secure_vector<byte>& error_mask_out,
+ const secure_vector<byte>& ciphertext,
+ const McEliece_PrivateKey& key);
+
+secure_vector<byte> mceliece_decrypt(
+ secure_vector<gf2m> & error_pos,
+ const byte *ciphertext, u32bit ciphertext_len,
+ const McEliece_PrivateKey & key);
+
+void mceliece_encrypt(secure_vector<byte>& ciphertext_out,
+ secure_vector<byte>& error_mask_out,
+ const secure_vector<byte>& plaintext,
+ const McEliece_PublicKey& key,
+ RandomNumberGenerator& rng);
+
+McEliece_PrivateKey generate_mceliece_key(RandomNumberGenerator &rng,
+ u32bit ext_deg,
+ u32bit code_length,
+ u32bit t);
+
+}
+
+
+#endif
diff --git a/src/lib/pubkey/mce/mce_kem.cpp b/src/lib/pubkey/mce/mce_kem.cpp
index b24c42f85..dede67731 100644
--- a/src/lib/pubkey/mce/mce_kem.cpp
+++ b/src/lib/pubkey/mce/mce_kem.cpp
@@ -7,56 +7,42 @@
*/
#include <botan/mce_kem.h>
+#include <botan/internal/mce_internal.h>
#include <botan/sha2_64.h>
namespace Botan {
McEliece_KEM_Encryptor::McEliece_KEM_Encryptor(const McEliece_PublicKey& public_key) :
- m_raw_pub_op(public_key, public_key.get_code_length())
+ m_key(public_key)
{
}
std::pair<secure_vector<byte>, secure_vector<byte>>
McEliece_KEM_Encryptor::encrypt(RandomNumberGenerator& rng)
{
- const McEliece_PublicKey& key = m_raw_pub_op.get_key();
- secure_vector<Botan::byte> plaintext((key.get_message_word_bit_length()+7)/8);
- rng.randomize(plaintext.data(), plaintext.size());
+ const secure_vector<byte> plaintext = m_key.random_plaintext_element(rng);
- // unset unused bits in the last plaintext byte
- u32bit used = key.get_message_word_bit_length() % 8;
- if(used)
- {
- byte mask = (1 << used) - 1;
- plaintext[plaintext.size() - 1] &= mask;
- }
-
- secure_vector<gf2m> err_pos = create_random_error_positions(key.get_code_length(), key.get_t(), rng);
-
- mceliece_message_parts parts(err_pos, plaintext, key.get_code_length());
- secure_vector<Botan::byte> message_and_error_input = parts.get_concat();
+ secure_vector<byte> ciphertext, error_mask;
+ mceliece_encrypt(ciphertext, error_mask, plaintext, m_key, rng);
SHA_512 hash;
- hash.update(message_and_error_input);
+ hash.update(plaintext);
+ hash.update(error_mask);
secure_vector<byte> sym_key = hash.final();
- secure_vector<byte> ciphertext = m_raw_pub_op.encrypt(message_and_error_input.data(),
- message_and_error_input.size(), rng);
return std::make_pair(ciphertext, sym_key);
}
-
-McEliece_KEM_Decryptor::McEliece_KEM_Decryptor(const McEliece_PrivateKey& mce_key) :
- m_raw_priv_op(mce_key)
- {
- }
+McEliece_KEM_Decryptor::McEliece_KEM_Decryptor(const McEliece_PrivateKey& key) : m_key(key) { }
secure_vector<Botan::byte> McEliece_KEM_Decryptor::decrypt(const byte msg[], size_t msg_len)
{
- secure_vector<Botan::byte> message_and_error = m_raw_priv_op.decrypt(msg, msg_len);
+ secure_vector<byte> plaintext, error_mask;
+ mceliece_decrypt(plaintext, error_mask, msg, msg_len, m_key);
SHA_512 hash;
- hash.update(message_and_error);
+ hash.update(plaintext);
+ hash.update(error_mask);
secure_vector<byte> sym_key = hash.final();
return sym_key;
diff --git a/src/lib/pubkey/mce/mce_kem.h b/src/lib/pubkey/mce/mce_kem.h
index 7a8d2f7ff..cd899d568 100644
--- a/src/lib/pubkey/mce/mce_kem.h
+++ b/src/lib/pubkey/mce/mce_kem.h
@@ -25,7 +25,7 @@ class BOTAN_DLL McEliece_KEM_Encryptor
std::pair<secure_vector<byte>, secure_vector<byte>> encrypt(RandomNumberGenerator& rng);
private:
- McEliece_Public_Operation m_raw_pub_op;
+ const McEliece_PublicKey& m_key;
};
class BOTAN_DLL McEliece_KEM_Decryptor
@@ -45,10 +45,10 @@ class BOTAN_DLL McEliece_KEM_Decryptor
secure_vector<Botan::byte> decrypt_vec(const std::vector<byte, Alloc>& v)
{
return decrypt(v.data(), v.size());
-
}
+
private:
- McEliece_Private_Operation m_raw_priv_op;
+ const McEliece_PrivateKey& m_key;
};
}
diff --git a/src/lib/pubkey/mce/mceliece.cpp b/src/lib/pubkey/mce/mceliece.cpp
index 6bbe93ce3..dd05b8212 100644
--- a/src/lib/pubkey/mce/mceliece.cpp
+++ b/src/lib/pubkey/mce/mceliece.cpp
@@ -9,165 +9,127 @@
*
*/
+#include <botan/internal/mce_internal.h>
#include <botan/mceliece.h>
-#include <botan/mceliece_key.h>
-#include <botan/internal/code_based_key_gen.h>
-#include <botan/polyn_gf2m.h>
-#include <botan/code_based_util.h>
-#include <botan/goppa_code.h>
+#include <botan/internal/code_based_util.h>
#include <botan/internal/bit_ops.h>
-#include <botan/internal/xor_buf.h>
+#include <set>
namespace Botan {
namespace {
-void concat_vectors(byte* x, const byte* a, const byte* b, u32bit dimension, u32bit codimension)
+secure_vector<byte> concat_vectors(const secure_vector<byte>& a, const secure_vector<byte>& b,
+ u32bit dimension, u32bit codimension)
{
- if(dimension % 8 == 0)
+ secure_vector<byte> x(bit_size_to_byte_size(dimension) + bit_size_to_byte_size(codimension));
+
+ const size_t final_bits = dimension % 8;
+
+ if(final_bits == 0)
{
const size_t dim_bytes = bit_size_to_byte_size(dimension);
- copy_mem(x, a, dim_bytes);
- copy_mem(x + dim_bytes, b, bit_size_to_byte_size(codimension));
+ copy_mem(&x[0], a.data(), dim_bytes);
+ copy_mem(&x[dim_bytes], b.data(), bit_size_to_byte_size(codimension));
}
else
{
- u32bit i, j, k, l;
- i = dimension - 8 * (dimension/ 8);
- j = 8 - i;
- l = dimension / 8;
- copy_mem(x, a, 1 * (dimension / 8));
- x[l] = static_cast<byte>(a[l] & ((1 << i) - 1));
-
- for(k = 0; k < codimension / 8; ++k)
+ copy_mem(&x[0], a.data(), (dimension / 8));
+ u32bit l = dimension / 8;
+ x[l] = static_cast<byte>(a[l] & ((1 << final_bits) - 1));
+
+ for(u32bit k = 0; k < codimension / 8; ++k)
{
- x[l] ^= static_cast<byte>(b[k] << i);
+ x[l] ^= static_cast<byte>(b[k] << final_bits);
++l;
- x[l] = static_cast<byte>(b[k] >> j);
+ x[l] = static_cast<byte>(b[k] >> (8 - final_bits));
}
- x[l] ^= static_cast<byte>(b[k] << i);
+ x[l] ^= static_cast<byte>(b[codimension/8] << final_bits);
}
+
+ return x;
}
-std::vector<byte> mult_by_pubkey(const byte *cleartext,
- std::vector<byte> const& public_matrix,
- u32bit code_length, u32bit t)
+secure_vector<byte> mult_by_pubkey(const secure_vector<byte>& cleartext,
+ std::vector<byte> const& public_matrix,
+ u32bit code_length, u32bit t)
{
- std::vector<byte> ciphertext(code_length);
- u32bit i, j;
- u32bit ext_deg = ceil_log2(code_length);
- u32bit codimension = ext_deg * t;
- u32bit dimension = code_length - codimension;
- std::vector<byte> cR(bit_size_to_32bit_size(codimension)* sizeof(u32bit));
+ const u32bit ext_deg = ceil_log2(code_length);
+ const u32bit codimension = ext_deg * t;
+ const u32bit dimension = code_length - codimension;
+ secure_vector<byte> cR(bit_size_to_32bit_size(codimension) * sizeof(u32bit));
const byte* pt = public_matrix.data();
- for(i = 0; i < dimension / 8; ++i)
+ for(size_t i = 0; i < dimension / 8; ++i)
{
- for(j = 0; j < 8; ++j)
+ for(size_t j = 0; j < 8; ++j)
{
if(cleartext[i] & (1 << j))
{
xor_buf(cR.data(), pt, cR.size());
}
- pt += bit_size_to_32bit_size(codimension) * sizeof(u32bit);
+ pt += cR.size();
}
}
- for(j = 0; j < dimension % 8 ; ++j)
+ for(size_t i = 0; i < dimension % 8 ; ++i)
{
- if(cleartext[i] & (1 << j))
+ if(cleartext[dimension/8] & (1 << i))
{
- xor_buf(cR.data(), pt, bit_size_to_byte_size(codimension));
+ xor_buf(cR.data(), pt, cR.size());
}
- pt += bit_size_to_32bit_size(codimension) * sizeof(u32bit);
+ pt += cR.size();
}
- concat_vectors(ciphertext.data(), cleartext, cR.data(), dimension, codimension);
+ secure_vector<byte> ciphertext = concat_vectors(cleartext, cR, dimension, codimension);
+ ciphertext.resize((code_length+7)/8);
return ciphertext;
}
-}
-
-secure_vector<gf2m> create_random_error_positions(unsigned code_length,
- unsigned error_weight,
- RandomNumberGenerator& rng)
- {
- secure_vector<gf2m> result(error_weight);
- gf2m i;
- for(i = 0; i < result.size(); i++)
- {
- unsigned j;
- char try_again = 0;
- do
- {
- try_again = 0;
- gf2m new_pos = random_code_element(code_length, rng);
- for(j = 0; j < i; j++)
- {
- if(new_pos == result[j])
- {
- try_again = 1;
- break;
- }
- }
- result[i] = new_pos;
- } while(try_again);
- }
- return result;
- }
-
-McEliece_Private_Operation::McEliece_Private_Operation(const McEliece_PrivateKey& private_key)
- :m_priv_key(private_key)
+secure_vector<byte> create_random_error_vector(unsigned code_length,
+ unsigned error_weight,
+ RandomNumberGenerator& rng)
{
- }
-
-secure_vector<byte> McEliece_Private_Operation::decrypt(const byte msg[], size_t msg_len)
- {
- secure_vector<gf2m> err_pos;
+ secure_vector<byte> result((code_length+7)/8);
- secure_vector<byte> plaintext = mceliece_decrypt(
- err_pos,
- msg, msg_len,
- m_priv_key
- );
+ size_t bits_set = 0;
- return mceliece_message_parts(err_pos, plaintext, m_priv_key.get_code_length()).get_concat();
- }
+ while(bits_set < error_weight)
+ {
+ gf2m x = random_code_element(code_length, rng);
-McEliece_Public_Operation::McEliece_Public_Operation(const McEliece_PublicKey& public_key, u32bit the_code_length)
- :m_pub_key(public_key),
- m_code_length(the_code_length)
- {}
+ const size_t byte_pos = x / 8, bit_pos = x % 8;
-secure_vector<byte> McEliece_Public_Operation::encrypt(const byte msg[], size_t msg_len, RandomNumberGenerator&)
- {
- mceliece_message_parts parts(msg, msg_len, m_pub_key.get_code_length());
- secure_vector<gf2m> err_pos = parts.get_error_positions();
- secure_vector<byte> message_word = parts.get_message_word();
- secure_vector<byte> ciphertext((m_pub_key.get_code_length()+7)/8);
+ const byte mask = (1 << bit_pos);
+ if(result[byte_pos] & mask)
+ continue; // already set this bit
- std::vector<byte> ciphertext_tmp = mceliece_encrypt( message_word, m_pub_key.get_public_matrix(), err_pos, m_code_length);
+ result[byte_pos] |= mask;
+ bits_set++;
+ }
- copy_mem(ciphertext.data(), ciphertext_tmp.data(), ciphertext.size());
- return ciphertext;
+ return result;
}
-std::vector<byte> mceliece_encrypt(const secure_vector<byte> & cleartext,
- std::vector<byte> const& public_matrix,
- const secure_vector<gf2m> & err_pos,
- u32bit code_length)
+}
+
+void mceliece_encrypt(secure_vector<byte>& ciphertext_out,
+ secure_vector<byte>& error_mask_out,
+ const secure_vector<byte>& plaintext,
+ const McEliece_PublicKey& key,
+ RandomNumberGenerator& rng)
{
- std::vector<byte> ciphertext = mult_by_pubkey(cleartext.data(), public_matrix, code_length, err_pos.size());
+ secure_vector<byte> error_mask = create_random_error_vector(key.get_code_length(), key.get_t(), rng);
- // flip t error positions
- for(size_t i = 0; i < err_pos.size(); ++i)
- {
- ciphertext[err_pos[i] / 8] ^= (1 << (err_pos[i] % 8));
- }
+ secure_vector<byte> ciphertext = mult_by_pubkey(plaintext, key.get_public_matrix(),
+ key.get_code_length(), key.get_t());
- return ciphertext;
+ ciphertext ^= error_mask;
+
+ ciphertext_out.swap(ciphertext);
+ error_mask_out.swap(error_mask);
}
}
diff --git a/src/lib/pubkey/mce/mceliece.h b/src/lib/pubkey/mce/mceliece.h
index c5f02470f..ead326230 100644
--- a/src/lib/pubkey/mce/mceliece.h
+++ b/src/lib/pubkey/mce/mceliece.h
@@ -9,141 +9,128 @@
*
*/
-#ifndef BOTAN_MCELIECE_H__
-#define BOTAN_MCELIECE_H__
+#ifndef BOTAN_MCELIECE_KEY_H__
+#define BOTAN_MCELIECE_KEY_H__
-#include <botan/secmem.h>
-#include <botan/types.h>
-#include <botan/pk_ops.h>
-#include <botan/mceliece_key.h>
-
-#define MASK_LOG2_BYTE ((1 << 3) - 1)
-#define _BITP_TO_BYTEP(__bit_pos) (__bit_pos >> 3)
-#define _BITP_TO_BYTEOFFS(__bit_pos) (__bit_pos & MASK_LOG2_BYTE)
+#include <botan/pk_keys.h>
+#include <botan/polyn_gf2m.h>
+#include <botan/exceptn.h>
namespace Botan {
-secure_vector<gf2m> BOTAN_DLL create_random_error_positions(unsigned code_length, unsigned error_weight, RandomNumberGenerator& rng);
-
-class mceliece_message_parts
+class BOTAN_DLL McEliece_PublicKey : public virtual Public_Key
{
public:
+ McEliece_PublicKey(const std::vector<byte>& key_bits);
- mceliece_message_parts(const secure_vector<gf2m>& err_pos, const byte* message, u32bit message_length, u32bit code_length) :
- m_error_vector(error_vector_from_error_positions(err_pos.data(), err_pos.size(), code_length)),
- m_code_length(code_length)
- {
- m_message_word.resize(message_length);
- copy_mem(m_message_word.data(), message, message_length);
- }
-
- mceliece_message_parts(const secure_vector<gf2m>& err_pos, const secure_vector<byte>& message, unsigned code_length) :
- m_error_vector(error_vector_from_error_positions(err_pos.data(), err_pos.size(), code_length)),
- m_message_word(message),
- m_code_length(code_length)
- {}
-
- static secure_vector<byte> error_vector_from_error_positions(const gf2m* err_pos, size_t err_pos_len, size_t code_length)
- {
- secure_vector<byte> result((code_length+7)/8);
- for(unsigned i = 0; i < err_pos_len; i++)
- {
- u16bit pos = err_pos[i];
- u32bit byte_pos = _BITP_TO_BYTEP(pos);
- if(byte_pos > result.size())
- {
- throw Invalid_Argument("error position larger than code size");
- }
- result[byte_pos] |= (1 << _BITP_TO_BYTEOFFS(pos));
- }
- return result;
- }
-
- mceliece_message_parts(const byte* message_concat_errors, size_t message_concat_errors_len, unsigned code_length) :
- m_code_length(code_length)
- {
- size_t err_vec_len = (code_length+7)/8;
- if(message_concat_errors_len < err_vec_len )
- {
- throw Invalid_Argument("cannot split McEliece message parts");
- }
- size_t err_vec_start_pos = message_concat_errors_len - err_vec_len;
- m_message_word = secure_vector<byte>(err_vec_start_pos);
- copy_mem(m_message_word.data(), message_concat_errors, err_vec_start_pos);
- m_error_vector = secure_vector<byte>(err_vec_len);
- copy_mem(m_error_vector.data(), &message_concat_errors[err_vec_start_pos], err_vec_len);
- }
-
- secure_vector<byte> get_concat() const
- {
- secure_vector<byte> result(m_error_vector.size() + m_message_word.size());
- copy_mem(result.data(), m_message_word.data(), m_message_word.size());
- copy_mem(&result[m_message_word.size()], m_error_vector.data(), m_error_vector.size());
- return result;
- }
-
- secure_vector<gf2m> get_error_positions() const
- {
- secure_vector<gf2m> result;
- for(unsigned i = 0; i < m_code_length; i++)
- {
- if(i >= m_code_length)
- {
- throw Invalid_Argument("index out of range in get_error_positions()");
- }
- if((m_error_vector[_BITP_TO_BYTEP(i)] >> _BITP_TO_BYTEOFFS(i)) & 1)
- {
- result.push_back(i);
- }
- }
- return result;
- }
-
- secure_vector<byte> get_error_vector() const { return m_error_vector; }
- secure_vector<byte> get_message_word() const { return m_message_word; }
- private:
- secure_vector<byte> m_error_vector;
- secure_vector<byte> m_message_word;
- unsigned m_code_length;
- };
+ McEliece_PublicKey(std::vector<byte> const& pub_matrix, u32bit the_t, u32bit the_code_length) :
+ m_public_matrix(pub_matrix),
+ m_t(the_t),
+ m_code_length(the_code_length)
+ {}
-class BOTAN_DLL McEliece_Private_Operation : public PK_Ops::Decryption
- {
- public:
- McEliece_Private_Operation(const McEliece_PrivateKey& mce_key);
+ McEliece_PublicKey(const McEliece_PublicKey& other);
- size_t max_input_bits() const override { return m_priv_key.max_input_bits(); }
+ secure_vector<byte> random_plaintext_element(RandomNumberGenerator& rng) const;
- secure_vector<byte> decrypt(const byte msg[], size_t msg_len) override;
+ std::string algo_name() const override { return "McEliece"; }
- McEliece_PrivateKey const& get_key() const { return m_priv_key; }
+ /**
+ * Get the maximum number of bits allowed to be fed to this key.
+ * @result the maximum number of input bits
+ */
+ size_t max_input_bits() const override { return get_message_word_bit_length(); }
- private:
- const McEliece_PrivateKey m_priv_key;
+ AlgorithmIdentifier algorithm_identifier() const override;
+
+ size_t estimated_strength() const override;
+
+ std::vector<byte> x509_subject_public_key() const override;
+
+ bool check_key(RandomNumberGenerator&, bool) const override
+ { return true; }
+
+ u32bit get_t() const { return m_t; }
+ u32bit get_code_length() const { return m_code_length; }
+ u32bit get_message_word_bit_length() const;
+ const std::vector<byte>& get_public_matrix() const { return m_public_matrix; }
+
+ bool operator==(const McEliece_PublicKey& other) const;
+ bool operator!=(const McEliece_PublicKey& other) const { return !(*this == other); }
+
+ protected:
+ McEliece_PublicKey() {}
+
+ std::vector<byte> m_public_matrix;
+ u32bit m_t;
+ u32bit m_code_length;
};
-class BOTAN_DLL McEliece_Public_Operation : public PK_Ops::Encryption
+class BOTAN_DLL McEliece_PrivateKey : public virtual McEliece_PublicKey,
+ public virtual Private_Key
{
public:
- McEliece_Public_Operation(const McEliece_PublicKey& public_key, u32bit code_length);
+ /**
+ * Get the maximum number of bits allowed to be fed to this key.
+ * @result the maximum number of input bits
+ */
+ size_t max_input_bits() const override { return m_Linv.size(); }
+
+ /**
+ Generate a McEliece key pair
+
+ Suggested parameters for a given security level (SL)
+
+ SL=80 n=1632 t=33 - 59 KB pubkey 140 KB privkey
+ SL=107 n=2480 t=45 - 128 KB pubkey 300 KB privkey
+ SL=128 n=2960 t=57 - 195 KB pubkey 459 KB privkey
+ SL=147 n=3408 t=67 - 265 KB pubkey 622 KB privkey
+ SL=191 n=4624 t=95 - 516 KB pubkey 1234 KB privkey
+ SL=256 n=6624 t=115 - 942 KB pubkey 2184 KB privkey
+ */
+ McEliece_PrivateKey(RandomNumberGenerator& rng, size_t code_length, size_t t);
+
+ McEliece_PrivateKey(const secure_vector<byte>& key_bits);
+
+ McEliece_PrivateKey(polyn_gf2m const& goppa_polyn,
+ std::vector<u32bit> const& parity_check_matrix_coeffs,
+ std::vector<polyn_gf2m> const& square_root_matrix,
+ std::vector<gf2m> const& inverse_support,
+ std::vector<byte> const& public_matrix );
+
+ bool check_key(RandomNumberGenerator& rng, bool strong) const override;
- size_t max_input_bits() const override { return m_pub_key.max_input_bits(); }
- secure_vector<byte> encrypt(const byte msg[], size_t msg_len, RandomNumberGenerator&) override;
+ polyn_gf2m const& get_goppa_polyn() const { return m_g; }
+ std::vector<u32bit> const& get_H_coeffs() const { return m_coeffs; }
+ std::vector<gf2m> const& get_Linv() const { return m_Linv; }
+ std::vector<polyn_gf2m> const& get_sqrtmod() const { return m_sqrtmod; }
- McEliece_PublicKey const& get_key() const { return m_pub_key; }
+ inline u32bit get_dimension() const { return m_dimension; }
+
+ inline u32bit get_codimension() const { return m_codimension; }
+
+ secure_vector<byte> pkcs8_private_key() const override;
+
+ bool operator==(const McEliece_PrivateKey & other) const;
+
+ bool operator!=(const McEliece_PrivateKey& other) const { return !(*this == other); }
private:
- McEliece_PublicKey m_pub_key;
- u32bit m_code_length;
+ polyn_gf2m m_g;
+ std::vector<polyn_gf2m> m_sqrtmod;
+ std::vector<gf2m> m_Linv;
+ std::vector<u32bit> m_coeffs;
+
+ u32bit m_codimension;
+ u32bit m_dimension;
};
/**
* Estimate work factor for McEliece
* @return estimated security level for these key parameters
*/
-BOTAN_DLL size_t mceliece_work_factor(size_t code_size, size_t k, size_t t);
+BOTAN_DLL size_t mceliece_work_factor(size_t code_size, size_t t);
}
-
#endif
diff --git a/src/lib/pubkey/mce/mceliece_key.cpp b/src/lib/pubkey/mce/mceliece_key.cpp
index 8cda0af89..8edbbf88a 100644
--- a/src/lib/pubkey/mce/mceliece_key.cpp
+++ b/src/lib/pubkey/mce/mceliece_key.cpp
@@ -9,15 +9,12 @@
*
*/
-#include <botan/mceliece_key.h>
-#include <botan/internal/bit_ops.h>
-#include <botan/gf2m_small_m.h>
#include <botan/mceliece.h>
-#include <botan/internal/code_based_key_gen.h>
-#include <botan/code_based_util.h>
+#include <botan/internal/mce_internal.h>
+#include <botan/internal/bit_ops.h>
+#include <botan/internal/code_based_util.h>
#include <botan/der_enc.h>
#include <botan/ber_dec.h>
-#include <botan/workfactor.h>
namespace Botan {
@@ -42,12 +39,29 @@ McEliece_PrivateKey::McEliece_PrivateKey(RandomNumberGenerator& rng, size_t code
*this = generate_mceliece_key(rng, ext_deg, code_length, t);
}
-unsigned McEliece_PublicKey::get_message_word_bit_length() const
+u32bit McEliece_PublicKey::get_message_word_bit_length() const
{
u32bit codimension = ceil_log2(m_code_length) * m_t;
return m_code_length - codimension;
}
+secure_vector<byte> McEliece_PublicKey::random_plaintext_element(RandomNumberGenerator& rng) const
+ {
+ const size_t bits = get_message_word_bit_length();
+
+ secure_vector<byte> plaintext((bits+7)/8);
+ rng.randomize(plaintext.data(), plaintext.size());
+
+ // unset unused bits in the last plaintext byte
+ if(u32bit used = bits % 8)
+ {
+ const byte mask = (1 << used) - 1;
+ plaintext[plaintext.size() - 1] &= mask;
+ }
+
+ return plaintext;
+ }
+
AlgorithmIdentifier McEliece_PublicKey::algorithm_identifier() const
{
return AlgorithmIdentifier(get_oid(), std::vector<byte>());
@@ -55,16 +69,15 @@ AlgorithmIdentifier McEliece_PublicKey::algorithm_identifier() const
std::vector<byte> McEliece_PublicKey::x509_subject_public_key() const
{
- // encode the public key
- return unlock(DER_Encoder()
- .start_cons(SEQUENCE)
- .start_cons(SEQUENCE)
- .encode(static_cast<size_t>(get_code_length()))
- .encode(static_cast<size_t>(get_t()))
- .end_cons()
- .encode(m_public_matrix, OCTET_STRING)
- .end_cons()
- .get_contents());
+ return DER_Encoder()
+ .start_cons(SEQUENCE)
+ .start_cons(SEQUENCE)
+ .encode(static_cast<size_t>(get_code_length()))
+ .encode(static_cast<size_t>(get_t()))
+ .end_cons()
+ .encode(m_public_matrix, OCTET_STRING)
+ .end_cons()
+ .get_contents_unlocked();
}
McEliece_PublicKey::McEliece_PublicKey(const McEliece_PublicKey & other) :
@@ -76,9 +89,7 @@ McEliece_PublicKey::McEliece_PublicKey(const McEliece_PublicKey & other) :
size_t McEliece_PublicKey::estimated_strength() const
{
- const u32bit ext_deg = ceil_log2(m_code_length);
- const size_t k = m_code_length - ext_deg * m_t;
- return mceliece_work_factor(m_code_length, k, m_t);
+ return mceliece_work_factor(m_code_length, m_t);
}
McEliece_PublicKey::McEliece_PublicKey(const std::vector<byte>& key_bits)
@@ -135,19 +146,20 @@ secure_vector<byte> McEliece_PrivateKey::pkcs8_private_key() const
bool McEliece_PrivateKey::check_key(RandomNumberGenerator& rng, bool) const
{
- McEliece_Private_Operation priv_op(*this);
- McEliece_Public_Operation pub_op(*this, get_code_length());
+ const secure_vector<byte> plaintext = this->random_plaintext_element(rng);
- secure_vector<byte> plaintext((this->get_message_word_bit_length()+7)/8);
- rng.randomize(plaintext.data(), plaintext.size() - 1);
- const secure_vector<gf2m> err_pos = create_random_error_positions(this->get_code_length(), this->get_t(), rng);
+ secure_vector<byte> ciphertext;
+ secure_vector<byte> errors;
+ mceliece_encrypt(ciphertext, errors, plaintext, *this, rng);
- mceliece_message_parts parts(err_pos, plaintext, this->get_code_length());
- secure_vector<byte> message_and_error_input = parts.get_concat();
- secure_vector<byte> ciphertext = pub_op.encrypt(message_and_error_input.data(), message_and_error_input.size(), rng);
- secure_vector<byte> message_and_error_output = priv_op.decrypt(ciphertext.data(), ciphertext.size());
+ secure_vector<byte> plaintext_out;
+ secure_vector<byte> errors_out;
+ mceliece_decrypt(plaintext_out, errors_out, ciphertext, *this);
- return (message_and_error_input == message_and_error_output);
+ if(errors != errors_out || plaintext != plaintext_out)
+ return false;
+
+ return true;
}
McEliece_PrivateKey::McEliece_PrivateKey(const secure_vector<byte>& key_bits)
@@ -172,7 +184,7 @@ McEliece_PrivateKey::McEliece_PrivateKey(const secure_vector<byte>& key_bits)
m_codimension = (ext_deg * t);
m_dimension = (n - m_codimension);
- std::shared_ptr<gf2m_small_m::Gf2m_Field> sp_field(new gf2m_small_m::Gf2m_Field(ext_deg));
+ std::shared_ptr<GF2m_Field> sp_field(new GF2m_Field(ext_deg));
m_g = polyn_gf2m(g_enc, sp_field);
if(m_g.get_degree() != static_cast<int>(t))
{
@@ -231,7 +243,6 @@ McEliece_PrivateKey::McEliece_PrivateKey(const secure_vector<byte>& key_bits)
}
-
bool McEliece_PrivateKey::operator==(const McEliece_PrivateKey & other) const
{
if(*static_cast<const McEliece_PublicKey*>(this) != *static_cast<const McEliece_PublicKey*>(&other))
diff --git a/src/lib/pubkey/mce/mceliece_key.h b/src/lib/pubkey/mce/mceliece_key.h
deleted file mode 100644
index 65ab04f16..000000000
--- a/src/lib/pubkey/mce/mceliece_key.h
+++ /dev/null
@@ -1,126 +0,0 @@
-/**
- * (C) Copyright Projet SECRET, INRIA, Rocquencourt
- * (C) Bhaskar Biswas and Nicolas Sendrier
- *
- * (C) 2014 cryptosource GmbH
- * (C) 2014 Falko Strenzke [email protected]
- *
- * Botan is released under the Simplified BSD License (see license.txt)
- *
- */
-
-#ifndef BOTAN_MCELIECE_KEY_H__
-#define BOTAN_MCELIECE_KEY_H__
-
-#include <botan/exceptn.h>
-#include <botan/pk_keys.h>
-#include <botan/polyn_gf2m.h>
-
-namespace Botan {
-
-class BOTAN_DLL McEliece_PublicKey : public virtual Public_Key
- {
- public:
-
- McEliece_PublicKey(const std::vector<byte>& key_bits);
-
- McEliece_PublicKey(std::vector<byte> const& pub_matrix, u32bit the_t, u32bit the_code_length) :
- m_public_matrix(pub_matrix),
- m_t(the_t),
- m_code_length(the_code_length)
- {}
-
- McEliece_PublicKey(const McEliece_PublicKey & other);
-
- std::string algo_name() const override { return "McEliece"; }
-
- /**
- * Get the maximum number of bits allowed to be fed to this key.
- * This is the bitlength of the order of the base point.
- * @result the maximum number of input bits
- */
- size_t max_input_bits() const override
- {
- return get_message_word_bit_length();
- };
-
- AlgorithmIdentifier algorithm_identifier() const override;
-
- size_t estimated_strength() const override;
-
- std::vector<byte> x509_subject_public_key() const override;
-
- bool check_key(RandomNumberGenerator&, bool) const override
- { return true; }
-
- u32bit get_t() const { return m_t; }
- u32bit get_code_length() const { return m_code_length; }
- u32bit get_message_word_bit_length() const;
- std::vector<byte> const& get_public_matrix() const { return m_public_matrix; }
-
- bool operator==(const McEliece_PublicKey& other) const;
- bool operator!=(const McEliece_PublicKey& other) const { return !(*this == other); }
-
- protected:
- McEliece_PublicKey() {}
-
- std::vector<byte> m_public_matrix;
- u32bit m_t;
- u32bit m_code_length;
- };
-
-class BOTAN_DLL McEliece_PrivateKey : public virtual McEliece_PublicKey,
- public virtual Private_Key
- {
- public:
- /**
- * Get the maximum number of bits allowed to be fed to this key.
- * This is the bitlength of the order of the base point.
- * @result the maximum number of input bits
- */
- size_t max_input_bits() const override {
- return m_Linv.size();
- };
-
- McEliece_PrivateKey(const secure_vector<byte>& key_bits);
-
- McEliece_PrivateKey(polyn_gf2m const& goppa_polyn,
- std::vector<u32bit> const& parity_check_matrix_coeffs,
- std::vector<polyn_gf2m> const& square_root_matrix,
- std::vector<gf2m> const& inverse_support,
- std::vector<byte> const& public_matrix );
-
- McEliece_PrivateKey(RandomNumberGenerator& rng, size_t code_length, size_t t);
- bool check_key(RandomNumberGenerator& rng, bool strong) const override;
-
- polyn_gf2m const& get_goppa_polyn() const { return m_g; };
- std::vector<u32bit> const& get_H_coeffs() const { return m_coeffs; };
- std::vector<gf2m> const& get_Linv() const { return m_Linv; };
- std::vector<polyn_gf2m> const& get_sqrtmod() const { return m_sqrtmod; };
-
- inline u32bit get_dimension() const
- { return m_dimension; };
-
- inline u32bit get_codimension() const
- { return m_codimension; };
-
-
- secure_vector<byte> pkcs8_private_key() const override;
-
- bool operator==(const McEliece_PrivateKey & other) const;
-
- bool operator!=(const McEliece_PrivateKey& other) const { return !(*this == other); };
-
- private:
- polyn_gf2m m_g;
- std::vector<polyn_gf2m> m_sqrtmod;
- std::vector<gf2m> m_Linv;
- std::vector<u32bit> m_coeffs;
-
- u32bit m_codimension;
- u32bit m_dimension;
- };
-
-}
-
-#endif
diff --git a/src/lib/pubkey/mce/polyn_gf2m.cpp b/src/lib/pubkey/mce/polyn_gf2m.cpp
index 9b3366757..4d9bcf2e8 100644
--- a/src/lib/pubkey/mce/polyn_gf2m.cpp
+++ b/src/lib/pubkey/mce/polyn_gf2m.cpp
@@ -10,15 +10,13 @@
*/
#include <botan/polyn_gf2m.h>
-#include <botan/gf2m_rootfind_dcmp.h>
-#include <botan/code_based_util.h>
-#include <botan/gf2m_small_m.h>
+#include <botan/internal/code_based_util.h>
#include <botan/internal/bit_ops.h>
+#include <botan/rng.h>
+#include <botan/exceptn.h>
namespace Botan {
-using namespace Botan::gf2m_small_m;
-
namespace {
gf2m generate_gf2m_mask(gf2m a)
@@ -40,8 +38,6 @@ unsigned nlz_16bit(u16bit x)
}
}
-using namespace Botan::gf2m_small_m;
-
int polyn_gf2m::calc_degree_secure() const
{
int i = this->coeff.size() - 1;
@@ -86,7 +82,7 @@ polyn_gf2m::polyn_gf2m(polyn_gf2m const& other)
msp_field(other.msp_field)
{ }
-polyn_gf2m::polyn_gf2m( int d, std::shared_ptr<gf2m_small_m::Gf2m_Field> sp_field)
+polyn_gf2m::polyn_gf2m( int d, std::shared_ptr<GF2m_Field> sp_field)
:m_deg(-1),
coeff(d+1),
msp_field(sp_field)
@@ -115,7 +111,7 @@ void polyn_gf2m::realloc(u32bit new_size)
this->coeff = secure_vector<gf2m>(new_size);
}
-polyn_gf2m::polyn_gf2m(const byte* mem, u32bit mem_len, std::shared_ptr<gf2m_small_m::Gf2m_Field> sp_field)
+polyn_gf2m::polyn_gf2m(const byte* mem, u32bit mem_len, std::shared_ptr<GF2m_Field> sp_field)
:msp_field(sp_field)
{
if(mem_len % sizeof(gf2m))
@@ -128,7 +124,7 @@ polyn_gf2m::polyn_gf2m(const byte* mem, u32bit mem_len, std::shared_ptr<gf2m_sma
this->m_deg = -1;
for(u32bit i = 0; i < size; i++)
{
- this->coeff[i] = gf2m_small_m::decode_gf2m(mem);
+ this->coeff[i] = decode_gf2m(mem);
mem += sizeof(this->coeff[0]);
}
for(u32bit i = 0; i < size; i++)
@@ -142,13 +138,13 @@ polyn_gf2m::polyn_gf2m(const byte* mem, u32bit mem_len, std::shared_ptr<gf2m_sma
}
-polyn_gf2m::polyn_gf2m( std::shared_ptr<gf2m_small_m::Gf2m_Field> sp_field )
+polyn_gf2m::polyn_gf2m( std::shared_ptr<GF2m_Field> sp_field )
: m_deg(-1),
coeff(1),
msp_field(sp_field)
{}
-polyn_gf2m::polyn_gf2m(int degree, const unsigned char* mem, u32bit mem_byte_len, std::shared_ptr<gf2m_small_m::Gf2m_Field> sp_field)
+polyn_gf2m::polyn_gf2m(int degree, const unsigned char* mem, u32bit mem_byte_len, std::shared_ptr<GF2m_Field> sp_field)
:msp_field(sp_field)
{
u32bit j, k, l;
@@ -229,7 +225,7 @@ int polyn_gf2m::get_degree() const
}
-static gf2m eval_aux(const gf2m * /*restrict*/ coeff, gf2m a, int d, std::shared_ptr<gf2m_small_m::Gf2m_Field> sp_field)
+static gf2m eval_aux(const gf2m * /*restrict*/ coeff, gf2m a, int d, std::shared_ptr<GF2m_Field> sp_field)
{
gf2m b;
b = coeff[d--];
@@ -255,7 +251,7 @@ gf2m polyn_gf2m::eval(gf2m a)
void polyn_gf2m::remainder(polyn_gf2m &p, const polyn_gf2m & g)
{
int i, j, d;
- std::shared_ptr<gf2m_small_m::Gf2m_Field> msp_field = g.msp_field;
+ std::shared_ptr<GF2m_Field> msp_field = g.msp_field;
d = p.get_degree() - g.get_degree();
if (d >= 0) {
gf2m la = msp_field->gf_inv_rn(g.get_lead_coef());
@@ -314,7 +310,7 @@ polyn_gf2m polyn_gf2m::sqmod( const std::vector<polyn_gf2m> & sq, int d)
{
int i, j;
gf2m la;
- std::shared_ptr<gf2m_small_m::Gf2m_Field> sp_field = this->msp_field;
+ std::shared_ptr<GF2m_Field> sp_field = this->msp_field;
polyn_gf2m result(d - 1, sp_field);
// terms of low degree
@@ -438,7 +434,7 @@ void polyn_gf2m::patchup_deg_secure( u32bit trgt_deg, volatile gf2m patch_elem)
std::pair<polyn_gf2m, polyn_gf2m> polyn_gf2m::eea_with_coefficients( const polyn_gf2m & p, const polyn_gf2m & g, int break_deg)
{
- std::shared_ptr<gf2m_small_m::Gf2m_Field> msp_field = g.msp_field;
+ std::shared_ptr<GF2m_Field> msp_field = g.msp_field;
int i, j, dr, du, delta;
gf2m a;
polyn_gf2m aux;
@@ -512,7 +508,7 @@ std::pair<polyn_gf2m, polyn_gf2m> polyn_gf2m::eea_with_coefficients( const polyn
else
{
/* t odd */
- cond1 = r0.get_degree() <= break_deg - 1;
+ cond1 = r0.get_degree() < break_deg;
cond2 = u0.get_degree() < break_deg - 1;
cond1 &= cond2;
}
@@ -625,7 +621,7 @@ std::pair<polyn_gf2m, polyn_gf2m> polyn_gf2m::eea_with_coefficients( const polyn
return std::make_pair(u1,r1); // coefficients u,v
}
-polyn_gf2m::polyn_gf2m(int t, Botan::RandomNumberGenerator& rng, std::shared_ptr<gf2m_small_m::Gf2m_Field> sp_field)
+polyn_gf2m::polyn_gf2m(int t, Botan::RandomNumberGenerator& rng, std::shared_ptr<GF2m_Field> sp_field)
:m_deg(t),
coeff(t+1),
msp_field(sp_field)
@@ -655,7 +651,7 @@ void polyn_gf2m::poly_shiftmod( const polyn_gf2m & g)
{
throw Invalid_Argument("shiftmod cannot be called on polynomials of degree 0 or less");
}
- std::shared_ptr<gf2m_small_m::Gf2m_Field> msp_field = g.msp_field;
+ std::shared_ptr<GF2m_Field> msp_field = g.msp_field;
t = g.get_degree();
a = msp_field->gf_div(this->coeff[t-1], g.coeff[t]);
@@ -670,7 +666,7 @@ std::vector<polyn_gf2m> polyn_gf2m::sqrt_mod_init(const polyn_gf2m & g)
{
u32bit i, t;
u32bit nb_polyn_sqrt_mat;
- std::shared_ptr<gf2m_small_m::Gf2m_Field> msp_field = g.msp_field;
+ std::shared_ptr<GF2m_Field> msp_field = g.msp_field;
std::vector<polyn_gf2m> result;
t = g.get_degree();
nb_polyn_sqrt_mat = t/2;
@@ -717,7 +713,7 @@ std::vector<polyn_gf2m> syndrome_init(polyn_gf2m const& generator, std::vector<g
gf2m a;
- std::shared_ptr<gf2m_small_m::Gf2m_Field> msp_field = generator.msp_field;
+ std::shared_ptr<GF2m_Field> msp_field = generator.msp_field;
std::vector<polyn_gf2m> result;
t = generator.get_degree();
@@ -744,7 +740,7 @@ std::vector<polyn_gf2m> syndrome_init(polyn_gf2m const& generator, std::vector<g
return result;
}
-polyn_gf2m::polyn_gf2m(const secure_vector<byte>& encoded, std::shared_ptr<gf2m_small_m::Gf2m_Field> sp_field )
+polyn_gf2m::polyn_gf2m(const secure_vector<byte>& encoded, std::shared_ptr<GF2m_Field> sp_field )
:msp_field(sp_field)
{
if(encoded.size() % 2)
diff --git a/src/lib/pubkey/mce/polyn_gf2m.h b/src/lib/pubkey/mce/polyn_gf2m.h
index 6ec028a25..1c8cc5211 100644
--- a/src/lib/pubkey/mce/polyn_gf2m.h
+++ b/src/lib/pubkey/mce/polyn_gf2m.h
@@ -12,14 +12,14 @@
#ifndef BOTAN_POLYN_GF2M_H__
#define BOTAN_POLYN_GF2M_H__
+#include <botan/secmem.h>
#include <botan/gf2m_small_m.h>
-#include <botan/rng.h>
#include <memory>
#include <utility>
namespace Botan {
-using namespace gf2m_small_m;
+class RandomNumberGenerator;
struct polyn_gf2m
{
@@ -27,13 +27,13 @@ struct polyn_gf2m
/**
* create a zero polynomial:
*/
- polyn_gf2m( std::shared_ptr<gf2m_small_m::Gf2m_Field> sp_field );
+ polyn_gf2m( std::shared_ptr<GF2m_Field> sp_field );
polyn_gf2m()
:m_deg(-1)
{};
- polyn_gf2m(const secure_vector<byte>& encoded, std::shared_ptr<gf2m_small_m::Gf2m_Field> sp_field );
+ polyn_gf2m(const secure_vector<byte>& encoded, std::shared_ptr<GF2m_Field> sp_field );
polyn_gf2m& operator=(const polyn_gf2m&) = default;
@@ -61,7 +61,7 @@ struct polyn_gf2m
/**
* create zero polynomial with reservation of space for a degree d polynomial
*/
- polyn_gf2m(int d, std::shared_ptr<gf2m_small_m::Gf2m_Field> sp_field);
+ polyn_gf2m(int d, std::shared_ptr<GF2m_Field> sp_field);
polyn_gf2m(polyn_gf2m const& other);
/**
@@ -71,9 +71,9 @@ struct polyn_gf2m
/**
* random irreducible polynomial of degree t
*/
- polyn_gf2m(int t, RandomNumberGenerator& rng, std::shared_ptr<gf2m_small_m::Gf2m_Field> sp_field);
+ polyn_gf2m(int t, RandomNumberGenerator& rng, std::shared_ptr<GF2m_Field> sp_field);
- std::shared_ptr<gf2m_small_m::Gf2m_Field> get_sp_field() const
+ std::shared_ptr<GF2m_Field> get_sp_field() const
{ return msp_field; };
gf2m& operator[](size_t i) { return coeff[i]; };
@@ -97,12 +97,12 @@ struct polyn_gf2m
std::string to_string() const;
/** decode a polynomial from memory: **/
- polyn_gf2m(const byte* mem, u32bit mem_len, std::shared_ptr<gf2m_small_m::Gf2m_Field> sp_field);
+ polyn_gf2m(const byte* mem, u32bit mem_len, std::shared_ptr<GF2m_Field> sp_field);
// remove one! ^v!
/**
* create a polynomial from memory area (encoded)
*/
- polyn_gf2m(int degree, const unsigned char* mem, u32bit mem_byte_len, std::shared_ptr<gf2m_small_m::Gf2m_Field> sp_field);
+ polyn_gf2m(int degree, const unsigned char* mem, u32bit mem_byte_len, std::shared_ptr<GF2m_Field> sp_field);
void encode(u32bit min_numo_coeffs, byte* mem, u32bit mem_len) const;
@@ -149,13 +149,19 @@ struct polyn_gf2m
public:
int m_deg;
secure_vector<gf2m> coeff;
- std::shared_ptr<gf2m_small_m::Gf2m_Field> msp_field;
+ std::shared_ptr<GF2m_Field> msp_field;
};
gf2m random_code_element(unsigned code_length, RandomNumberGenerator& rng);
std::vector<polyn_gf2m> syndrome_init(polyn_gf2m const& generator, std::vector<gf2m> const& support, int n);
+/**
+* Find the roots of a polynomial over GF(2^m) using the method by Federenko
+* et al.
+*/
+secure_vector<gf2m> find_roots_gf2m_decomp(const polyn_gf2m & polyn, u32bit code_length);
+
}
#endif
diff --git a/src/lib/pubkey/mce/workfactor.cpp b/src/lib/pubkey/mce/workfactor.cpp
index e7cf631d4..9594c0aab 100644
--- a/src/lib/pubkey/mce/workfactor.cpp
+++ b/src/lib/pubkey/mce/workfactor.cpp
@@ -8,6 +8,7 @@
*/
#include <botan/mceliece.h>
+#include <botan/internal/bit_ops.h>
#include <cmath>
namespace Botan {
@@ -91,8 +92,10 @@ double best_wf(size_t n, size_t k, size_t w, size_t p)
}
-size_t mceliece_work_factor(size_t n, size_t k, size_t t)
+size_t mceliece_work_factor(size_t n, size_t t)
{
+ const size_t k = n - ceil_log2(n) * t;
+
double min = cout_total(n, k, t, 0, 0); // correspond a p=1
for(size_t p = 0; p != t / 2; ++p)
{