diff options
Diffstat (limited to 'src/lib/pubkey/mce/gf2m_small_m.cpp')
-rw-r--r-- | src/lib/pubkey/mce/gf2m_small_m.cpp | 115 |
1 files changed, 63 insertions, 52 deletions
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); } } } - -} |