diff options
author | Jack Lloyd <[email protected]> | 2015-08-28 20:17:40 -0400 |
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committer | Jack Lloyd <[email protected]> | 2015-08-28 20:17:40 -0400 |
commit | e76e1f5f41b2ead518061a33ebc833f5c642bc34 (patch) | |
tree | 4147da2b04bb38992c1568ed7d85a64b169e5a71 /src/lib/math/ec_gfp | |
parent | 89ae754db15c9e78ddd52cf7cd92caf253a2bd81 (diff) |
Move GF(p) side channel countermeasure toggles to build.h
Some tweaks for point multiplication using fixed windows.
Diffstat (limited to 'src/lib/math/ec_gfp')
-rw-r--r-- | src/lib/math/ec_gfp/point_gfp.cpp | 69 | ||||
-rw-r--r-- | src/lib/math/ec_gfp/point_gfp.h | 2 |
2 files changed, 43 insertions, 28 deletions
diff --git a/src/lib/math/ec_gfp/point_gfp.cpp b/src/lib/math/ec_gfp/point_gfp.cpp index a319d8657..705b14c52 100644 --- a/src/lib/math/ec_gfp/point_gfp.cpp +++ b/src/lib/math/ec_gfp/point_gfp.cpp @@ -10,13 +10,10 @@ #include <botan/point_gfp.h> #include <botan/numthry.h> #include <botan/loadstor.h> +#include <botan/internal/rounding.h> namespace Botan { -const size_t BOTAN_POINTGFP_MONTGOMERY_BLINDING_BITS = 20; -const size_t BOTAN_POINTGFP_RANDOMIZE_BLINDING_BITS = 48; - -#define BOTAN_POINTGFP_BLINDED_MULTIPLY_USE_MONTGOMERY_LADDER 1 PointGFp::PointGFp(const CurveGFp& curve) : m_curve(curve), @@ -42,15 +39,20 @@ PointGFp::PointGFp(const CurveGFp& curve, const BigInt& x, const BigInt& y) : void PointGFp::randomize_repr(RandomNumberGenerator& rng) { - BigInt mask(rng, BOTAN_POINTGFP_RANDOMIZE_BLINDING_BITS, false); + if(BOTAN_POINTGFP_RANDOMIZE_BLINDING_BITS > 1) + { + BigInt mask; + while(mask.is_zero()) + mask.randomize(rng, BOTAN_POINTGFP_RANDOMIZE_BLINDING_BITS, false); - m_curve.to_rep(mask, m_monty_ws); - const BigInt mask2 = curve_mult(mask, mask); - const BigInt mask3 = curve_mult(mask2, mask); + m_curve.to_rep(mask, m_monty_ws); + const BigInt mask2 = curve_mult(mask, mask); + const BigInt mask3 = curve_mult(mask2, mask); - m_coord_x = curve_mult(m_coord_x, mask2); - m_coord_y = curve_mult(m_coord_y, mask3); - m_coord_z = curve_mult(m_coord_z, mask); + m_coord_x = curve_mult(m_coord_x, mask2); + m_coord_y = curve_mult(m_coord_y, mask3); + m_coord_z = curve_mult(m_coord_z, mask); + } } // Point addition @@ -317,7 +319,7 @@ PointGFp operator*(const BigInt& scalar, const PointGFp& point) } Blinded_Point_Multiply::Blinded_Point_Multiply(const PointGFp& base, const BigInt& order, size_t h) : - m_order(order), m_h(h ? h : 4), m_ws(9) + m_h(h > 0 ? h : 4), m_order(order), m_ws(9) { // Upper bound is a sanity check rather than hard limit if(m_h < 1 || m_h > 8) @@ -362,9 +364,14 @@ PointGFp Blinded_Point_Multiply::blinded_multiply(const BigInt& scalar_in, if(scalar_in.is_negative()) throw std::invalid_argument("Blinded_Point_Multiply scalar must be positive"); +#if BOTAN_POINTGFP_SCALAR_BLINDING_BITS > 0 // Choose a small mask m and use k' = k + m*order (Coron's 1st countermeasure) - const u64bit mask = rng.gen_mask(BOTAN_POINTGFP_MONTGOMERY_BLINDING_BITS); + const BigInt mask(rng, BOTAN_POINTGFP_SCALAR_BLINDING_BITS, false); const BigInt scalar = scalar_in + m_order * mask; +#else + const BigInt& scalar = scalar_in; +#endif + const size_t scalar_bits = scalar.bits(); // Randomize each point representation (Coron's 3rd countermeasure) @@ -403,26 +410,34 @@ PointGFp Blinded_Point_Multiply::blinded_multiply(const BigInt& scalar_in, #else - size_t bits_left = scalar_bits; + // N-bit windowing exponentiation: + + size_t windows = round_up(scalar_bits, m_h) / m_h; PointGFp R = m_U[0]; - while(bits_left >= m_h) + if(windows > 0) { - for(size_t i = 0; i != m_h; ++i) - R.mult2(m_ws); - - const u32bit nibble = scalar.get_substring(bits_left - m_h, m_h); + windows--; + const u32bit nibble = scalar.get_substring(windows*m_h, m_h); R.add(m_U[nibble], m_ws); - bits_left -= m_h; - } - while(bits_left) - { - R.mult2(m_ws); - if(scalar.get_bit(bits_left-1)) - R.add(m_U[1], m_ws); - --bits_left; + /* + Randomize after adding the first nibble as before the addition R + is zero, and we cannot effectively randomize the point + representation of the zero point. + */ + R.randomize_repr(rng); + + while(windows) + { + for(size_t i = 0; i != m_h; ++i) + R.mult2(m_ws); + + const u32bit nibble = scalar.get_substring((windows-1)*m_h, m_h); + R.add(m_U[nibble], m_ws); + windows--; + } } #endif diff --git a/src/lib/math/ec_gfp/point_gfp.h b/src/lib/math/ec_gfp/point_gfp.h index bb3438697..206e43155 100644 --- a/src/lib/math/ec_gfp/point_gfp.h +++ b/src/lib/math/ec_gfp/point_gfp.h @@ -293,8 +293,8 @@ class BOTAN_DLL Blinded_Point_Multiply PointGFp blinded_multiply(const BigInt& scalar, RandomNumberGenerator& rng); private: - const BigInt& m_order; const size_t m_h; + const BigInt& m_order; std::vector<BigInt> m_ws; std::vector<PointGFp> m_U; }; |