From 1eb07698724a7fe2468519c47f1bde17e35e9041 Mon Sep 17 00:00:00 2001 From: Jack Lloyd Date: Wed, 13 Nov 2024 08:58:04 -0500 Subject: [PATCH] Add a constant time p*x + q*y ECC operation This is needed for SPAKE2 most immediately but is also useful for Pedersen commitments, etc. --- src/lib/math/pcurves/pcurves.h | 11 + .../math/pcurves/pcurves_impl/pcurves_impl.h | 39 +- .../math/pcurves/pcurves_impl/pcurves_wrap.h | 14 + src/lib/pubkey/ec_group/ec_apoint.cpp | 9 + src/lib/pubkey/ec_group/ec_apoint.h | 9 + src/lib/pubkey/ec_group/ec_inner_data.cpp | 41 + src/lib/pubkey/ec_group/ec_inner_data.h | 6 + src/tests/data/pubkey/ecc_var_point_mul2.vec | 4930 +++++++++++++++++ src/tests/test_ecc_pointmul.cpp | 26 + 9 files changed, 5079 insertions(+), 6 deletions(-) create mode 100644 src/tests/data/pubkey/ecc_var_point_mul2.vec diff --git a/src/lib/math/pcurves/pcurves.h b/src/lib/math/pcurves/pcurves.h index 94323f306be..ba0d4fbc532 100644 --- a/src/lib/math/pcurves/pcurves.h +++ b/src/lib/math/pcurves/pcurves.h @@ -323,6 +323,17 @@ class BOTAN_TEST_API PrimeOrderCurve { const Scalar& s1, const Scalar& s2) const = 0; + /// Perform 2-ary multiplication (constant time) + /// + /// Compute p*x + q*y + /// + /// Returns nullopt if the produced point is the point at infinity + virtual std::optional mul_px_qy(const AffinePoint& p, + const Scalar& x, + const AffinePoint& q, + const Scalar& y, + RandomNumberGenerator& rng) const = 0; + /// Perform 2-ary multiplication (variable time), reducing x modulo order /// /// Compute s1*pt1 + s2*pt2 in variable time, then extract the x diff --git a/src/lib/math/pcurves/pcurves_impl/pcurves_impl.h b/src/lib/math/pcurves/pcurves_impl/pcurves_impl.h index 0a066607bf1..ef857978255 100644 --- a/src/lib/math/pcurves/pcurves_impl/pcurves_impl.h +++ b/src/lib/math/pcurves/pcurves_impl/pcurves_impl.h @@ -1441,8 +1441,6 @@ class WindowedMul2Table final { static constexpr size_t WindowBits = W; - static constexpr size_t Windows = (Scalar::BITS + WindowBits - 1) / WindowBits; - static constexpr size_t WindowSize = (1 << WindowBits); // 2^(2*W) elements, less the identity element @@ -1494,6 +1492,37 @@ class WindowedMul2Table final { m_table = to_affine_batch(table); } + /** + * Constant time 2-ary multiplication + */ + ProjectivePoint mul2(const Scalar& s1, const Scalar& s2, RandomNumberGenerator& rng) const { + using BlindedScalar = BlindedScalarBits; + + BlindedScalar bits1(s1, rng); + BlindedScalar bits2(s2, rng); + + constexpr size_t Windows = (BlindedScalar::Bits + WindowBits - 1) / WindowBits; + + auto accum = ProjectivePoint::identity(); + + for(size_t i = 0; i != Windows; ++i) { + if(i > 0) { + accum = accum.dbl_n(WindowBits); + } + + const size_t w_1 = bits1.get_window((Windows - i - 1) * WindowBits); + const size_t w_2 = bits2.get_window((Windows - i - 1) * WindowBits); + const size_t window = w_1 + (w_2 << WindowBits); + accum += AffinePoint::ct_select(m_table, window); + + if(i <= 3) { + accum.randomize_rep(rng); + } + } + + return accum; + } + /** * Variable time 2-ary multiplication * @@ -1501,14 +1530,12 @@ class WindowedMul2Table final { * of an elliptic curve signature. Since in this case the inputs are all * public, there is no problem with variable time computation. * - * It may be useful to offer a constant time (+blinded) variant of this in - * the future for handling secret inputs, for example when computing - * Pedersen commitments - * * TODO for variable time computation we could make use of a wNAF * representation instead */ ProjectivePoint mul2_vartime(const Scalar& s1, const Scalar& s2) const { + constexpr size_t Windows = (Scalar::BITS + WindowBits - 1) / WindowBits; + const UnblindedScalarBits bits1(s1); const UnblindedScalarBits bits2(s2); diff --git a/src/lib/math/pcurves/pcurves_impl/pcurves_wrap.h b/src/lib/math/pcurves/pcurves_impl/pcurves_wrap.h index 139390ab2ed..ce41c699216 100644 --- a/src/lib/math/pcurves/pcurves_impl/pcurves_wrap.h +++ b/src/lib/math/pcurves/pcurves_impl/pcurves_wrap.h @@ -72,6 +72,20 @@ class PrimeOrderCurveImpl final : public PrimeOrderCurve { } } + std::optional mul_px_qy(const AffinePoint& p, + const Scalar& x, + const AffinePoint& q, + const Scalar& y, + RandomNumberGenerator& rng) const override { + WindowedMul2Table tbl(from_stash(p), from_stash(q)); + auto pt = tbl.mul2(from_stash(x), from_stash(y), rng); + if(pt.is_identity().as_bool()) { + return {}; + } else { + return stash(pt); + } + } + bool mul2_vartime_x_mod_order_eq(const PrecomputedMul2Table& tableb, const Scalar& v, const Scalar& s1, diff --git a/src/lib/pubkey/ec_group/ec_apoint.cpp b/src/lib/pubkey/ec_group/ec_apoint.cpp index ff24197a643..9ea294d622f 100644 --- a/src/lib/pubkey/ec_group/ec_apoint.cpp +++ b/src/lib/pubkey/ec_group/ec_apoint.cpp @@ -111,6 +111,15 @@ EC_AffinePoint EC_AffinePoint::mul(const EC_Scalar& scalar, RandomNumberGenerato return EC_AffinePoint(inner().mul(scalar._inner(), rng, ws)); } +EC_AffinePoint EC_AffinePoint::mul_px_qy(const EC_AffinePoint& p, + const EC_Scalar& x, + const EC_AffinePoint& q, + const EC_Scalar& y, + RandomNumberGenerator& rng) { + auto pt = p._inner().group()->mul_px_qy(p._inner(), x._inner(), q._inner(), y._inner(), rng); + return EC_AffinePoint(std::move(pt)); +} + void EC_AffinePoint::serialize_x_to(std::span bytes) const { BOTAN_STATE_CHECK(!this->is_identity()); m_point->serialize_x_to(bytes); diff --git a/src/lib/pubkey/ec_group/ec_apoint.h b/src/lib/pubkey/ec_group/ec_apoint.h index 7b7a8d8cd85..b595ed1d5cd 100644 --- a/src/lib/pubkey/ec_group/ec_apoint.h +++ b/src/lib/pubkey/ec_group/ec_apoint.h @@ -76,6 +76,15 @@ class BOTAN_UNSTABLE_API EC_AffinePoint final { /// Workspace argument is transitional EC_AffinePoint mul(const EC_Scalar& scalar, RandomNumberGenerator& rng, std::vector& ws) const; + /// Compute 2-ary multiscalar multiplication - p*x + q*y + /// + /// This operation runs in constant time with respect to p, x, q, and y + static EC_AffinePoint mul_px_qy(const EC_AffinePoint& p, + const EC_Scalar& x, + const EC_AffinePoint& q, + const EC_Scalar& y, + RandomNumberGenerator& rng); + /// Return the number of bytes of a field element /// /// A point consists of two field elements, plus possibly a header diff --git a/src/lib/pubkey/ec_group/ec_inner_data.cpp b/src/lib/pubkey/ec_group/ec_inner_data.cpp index 6e259782af4..d5c4f234328 100644 --- a/src/lib/pubkey/ec_group/ec_inner_data.cpp +++ b/src/lib/pubkey/ec_group/ec_inner_data.cpp @@ -262,6 +262,47 @@ std::unique_ptr EC_Group_Data::point_g_mul(const EC_Scalar_ } } +std::unique_ptr EC_Group_Data::mul_px_qy(const EC_AffinePoint_Data& p, + const EC_Scalar_Data& x, + const EC_AffinePoint_Data& q, + const EC_Scalar_Data& y, + RandomNumberGenerator& rng) const { + if(m_pcurve) { + auto pt = m_pcurve->mul_px_qy(EC_AffinePoint_Data_PC::checked_ref(p).value(), + EC_Scalar_Data_PC::checked_ref(x).value(), + EC_AffinePoint_Data_PC::checked_ref(q).value(), + EC_Scalar_Data_PC::checked_ref(y).value(), + rng); + + if(pt) { + return std::make_unique(shared_from_this(), pt->to_affine()); + } else { + return nullptr; + } + } else { + std::vector ws; + const auto& group = p.group(); + + // TODO this could be better! + EC_Point_Var_Point_Precompute p_mul(p.to_legacy_point(), rng, ws); + EC_Point_Var_Point_Precompute q_mul(q.to_legacy_point(), rng, ws); + + const auto order = group->order() * group->cofactor(); // See #3800 + + auto px = p_mul.mul(EC_Scalar_Data_BN::checked_ref(x).value(), rng, order, ws); + auto qy = q_mul.mul(EC_Scalar_Data_BN::checked_ref(y).value(), rng, order, ws); + + auto px_qy = px + qy; + px_qy.force_affine(); + + if(!px_qy.is_zero()) { + return std::make_unique(shared_from_this(), std::move(px_qy)); + } else { + return nullptr; + } + } +} + std::unique_ptr EC_Group_Data::make_mul2_table(const EC_AffinePoint_Data& h) const { if(m_pcurve) { EC_AffinePoint_Data_PC g(shared_from_this(), m_pcurve->generator()); diff --git a/src/lib/pubkey/ec_group/ec_inner_data.h b/src/lib/pubkey/ec_group/ec_inner_data.h index 23ab1075f35..1bba1789018 100644 --- a/src/lib/pubkey/ec_group/ec_inner_data.h +++ b/src/lib/pubkey/ec_group/ec_inner_data.h @@ -246,6 +246,12 @@ class EC_Group_Data final : public std::enable_shared_from_this { RandomNumberGenerator& rng, std::vector& ws) const; + std::unique_ptr mul_px_qy(const EC_AffinePoint_Data& p, + const EC_Scalar_Data& x, + const EC_AffinePoint_Data& q, + const EC_Scalar_Data& y, + RandomNumberGenerator& rng) const; + std::unique_ptr make_mul2_table(const EC_AffinePoint_Data& pt) const; const PCurve::PrimeOrderCurve& pcurve() const { diff --git a/src/tests/data/pubkey/ecc_var_point_mul2.vec b/src/tests/data/pubkey/ecc_var_point_mul2.vec new file mode 100644 index 00000000000..ebf66b1d57a --- /dev/null +++ b/src/tests/data/pubkey/ecc_var_point_mul2.vec @@ -0,0 +1,4930 @@ + +# Generated using OpenSSL + +[secp192r1] +P = 03661926DE675F8C324C810264319B13BB37768E3C8E64A9DF +x = 0x000000000000000000000000000000000000000000000001 +Q = 0333BB24DF1E9EAEF1130576E8D518D3F92FB0C3CFF3DA286C +y = 0xFFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22830 +Z = 0289B1BDE19A22FFCD1A5FAB242B2FFCF1B79AF959ADBE620C + +P = 025DE0530427B7AB4F71A570805BD71F64A2F4AF2C309EEDF5 +x = 0x000000000000000000000000000000000000000000000002 +Q = 03D4F35D7B0250881E8D5B34FB8C5361481E0DD6A7E9C03B9B +y = 0xFFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D2282F +Z = 0398893848CB9D9F426B5F26A569CEFA019088C2FCEA50F9DE + +P = 030E7BCB8752133C83CD1B0C34FB6D8A729698F41B04107762 +x = 0x000000000000000000000000000000000000000000000003 +Q = 028E5EB1679B9EB9F13BA7E33F4812ABFC821BE908B21E2C33 +y = 0xFFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D2282E +Z = 03C63157295BAD8F098DBD3AC7770D10E61A5CE13C0CAC0ED6 + +P = 02AB259F2BDFA1EB7053F0F877AF6B4911646F9822AA1ABC88 +x = 0x000000000000000000000000000000000000000000000004 +Q = 03DB17BB0599325427DDA5E0A5BDDC9F17CCADEA2D67BD4448 +y = 0xFFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D2282D +Z = 024F47E63DEED2E30CFB728FF6FCCA76F33D69ADC578716EC9 + +P = 03933E080328BCFBE5E6F1C886EF1D334F3757EAC290968912 +x = 0x000000000000000000000000000000000000000000000005 +Q = 03F0778B62FF5D935C36DACFA22F4D6C49419B234F727CE860 +y = 0xFFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D2282C +Z = 024BCCD776084EC1AA20B0F9E85472C23DBF95760A9310BC0A + +P = 0238EB76FA4C48EAAC6FEC1DB7A7192EC641D834B1AEC62066 +x = 0x000000000000000000000000000000000000000000000006 +Q = 03C5DAE5EE6714EA664D0BBA6E47AE1A6A17FFDC05ABB8F827 +y = 0xFFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D2282B +Z = 03F5D59379C37CFFF62B59EF75932D91F4D31B6B0E8A5B70B8 + +P = 0253B5E616104D0BA7C426B504E74F1DB7F30BEAB9DD638B2D +x = 0x000000000000000000000000000000000000000000000007 +Q = 03E45E1B88B8E10353343E5337A34C7C3E57CEA8B75ECEB669 +y = 0xFFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D2282A +Z = 02DD0F7C20FD9D06671EF67431FFE1DB52041A0ED17E94ECBC + +P = 0244671150A16A3E3F52A69C4B1B43C3F4C59BC4172577E6F4 +x = 0x000000000000000000000000000000000000000000000008 +Q = 0235B8942F8CDA0618587CD837A695A74FDDA8444B9D99A302 +y = 0xFFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22829 +Z = 0255520D7B9ECFA07D00DE44CAD3C5F3E16FFE39D540B9BB99 + +P = 03617AED4D4BF45A62B22DB3EA0C92162332E065D7DD36899D +x = 0x000000000000000000000000000000000000000000000009 +Q = 03C902A64775454740AF74F8EC3463CE7C314D14FCFA50BF03 +y = 0xFFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22828 +Z = 037965AB5AF5DB9E1B7C84449252DDBCFBF09F509FA071B380 + +P = 035931CA24FAFDF5EED46FB6BE967E4A3F490746A622DBC00E +x = 0x00000000000000000000000000000000000000000000000A +Q = 03797384D1C46925FF5C7678F979080796AB33F58C682E610E +y = 0xFFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22827 +Z = 039B4093C2B28A723A810950B27F5A98EF2E6DB9EBC514FF8F + +P = 03E7BF687DD28D64E4AFC56602C455A72C4C8E9B274A4CE2E7 +x = 0x00000000000000000000000000000000000000000000000B +Q = 024989844ACC788BDA13A9957B6F5F307A577E3935728FD4D9 +y = 0xFFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22826 +Z = 026923FF6B64F785C9DC04F89016117AA7D3335A772FADE85C + +P = 027F6F5D706EADA51655A267C195D00FAF5E583F1ADB5FF373 +x = 0x00000000000000000000000000000000000000000000000C +Q = 02D1000B0354E62CF8F23BB60C34AD4005E9A6575DFD264EA3 +y = 0xFFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22825 +Z = 03D812538321536FD2A2FDE84981F453D5A079E6F06B068DAD + +P = 02300AFE61244D4B2F2C698396C63C7E3C3C17762210BA51C4 +x = 0x00000000000000000000000000000000000000000000000D +Q = 032AA339D15D99C38F9ADDC6C58D55C5A889BE35459E79E91D +y = 0xFFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22824 +Z = 03E8447A870721F6EC2AC5C238E621E0DD44CA87D82C2E9664 + +P = 03819EE499CE6F429061FFCAE49FC13C13367A429176C8F63E +x = 0x00000000000000000000000000000000000000000000000E +Q = 02475BC59E1D06FCB8B380B7C65F11F2B900DFA2E47F3BB788 +y = 0xFFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22823 +Z = 02E618796E97780AB3A3505B671C8926B9374980E3E16195B5 + +P = 02174756B236DF4590B4D0A416224107678C819852A824D228 +x = 0x00000000000000000000000000000000000000000000000F +Q = 03900E180DFDCE58C673E9C73644DC4113CC66D2ED5C12178C +y = 0xFFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22822 +Z = 03BB043C9CC161912945120C684E4244AA0A5992238D961E4D + +P = 02F8F828F6B92113DDB27A85A2499851703DFDCEFF83BEB84E +x = 0x000000000000000000000000000000000000000000000010 +Q = 038F12AC497180E9FB412C0384789274DA51E75BE6599B623E +y = 0xFFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22821 +Z = 02A2A62AD8629B3830D47EEF80C0F6318962E7267687A025C2 + +P = 03BF716216D932F60DE503DBEF7CE8F9552D3749D8EC73F710 +x = 0xC10D25B604F181C146A751B13339E73227D2A0ED3CCA8259 +Q = 025C2BDDEAF84C89905968E004557202A2B9051155969DEFB8 +y = 0x3EF2DA49FB0E7E3EB958AE4E66A51103EC9928C47807A5D8 +Z = 035651F00411574CBEFF5808366DEF897CB4BA8CF2DA50F052 + +P = 0371D68BC7DABD07D57C40C476CD5439103B4D421DE4833A67 +x = 0x1A149301184F6CECBFC8BDB82A2847B9279B8DBD66ABBD8C +Q = 0306DD155998133A6AF79CBCF982DE22D5235544080B6E0D16 +y = 0xE5EB6CFEE7B09313403742476FB6B07CECD03BF44E266AA5 +Z = 03FE89E13F83669EBDCF66B577FEBF47CC950DA68AF52E603D + +P = 02799289D9D168A7FB151545A6AC515DEDC9465E75103A594B +x = 0x0A8F4571F835127F866F2A77D706B6CFD73199A1AA6E9F4C +Q = 029DD30A6EE2F168F70DC055D5954E38834F9768022AD39B99 +y = 0xF570BA8E07CAED807990D587C2D841663D3A30100A6388E5 +Z = 037312C7CB39A2F60BF4BA9A4978CC473B95A81BA8E386F36F + +P = 034FF95456EC31C57DFCAA0CC29B5BCC49FA8CBEE5F7198BBF +x = 0xBDD06BDEBF98084560DD33CC5297A27357B5B790C4231C9F +Q = 024F5796CB7A9DE287003CA672BD791EC2BC6A7AB8A0453144 +y = 0x422F94214067F7BA9F22CC33474755C2BCB61220F0AF0B92 +Z = 039F081D637230C5E278500629CF14708C106AADD675DFDE0E + +P = 032D23DA171C454059F2CC02F2386B2163028777D850CC394D +x = 0xA49CB42896C681F9CD2C53920AD809AEDCFC82EF7F865072 +Q = 0375C3D342FC708E710AC01D4FED99CE07F424CDEC3CF935F3 +y = 0x5B634BD769397E0632D3AC6D8F06EE87376F46C2354BD7BF +Z = 0392ACFB0DEA20C8423D1E7F766A01A6E3900F57B19196AB84 + +P = 02E2971CD67F64F59BEC8E5CE9382B922E45D0593B64D444ED +x = 0x74D29908BCD2B65B634ADC2E823967A86FF3C9AF3C0FC314 +Q = 02860EE2696547E4DE06CE9D514F5589229525DB129698495B +y = 0x8B2D66F7432D49A49CB523D117A5908DA478000278C2651D +Z = 0287BF596B791BB6B4CB95655277EE463FE5A88F52DBFB9D6C + +P = 03E3BCA4D3B437764765C8704025C2E11BED9ADBD0A5D84F60 +x = 0x0C78FBC437F21435CE2D28F7D1F4D3B5E38678BAAEB11822 +Q = 02105B6F4CA110F750B1B36AA49954994CADF8199A4883484B +y = 0xF387043BC80DEBCA31D2D707C7EA248030E550F70621100F +Z = 038626C49CF8F4B293560122BCFA48FECD04E7DF2827EB886D + +P = 02E95A212CC40039736E5B6FD471F9369C6C3900B381EEBBEC +x = 0xF8ED800702AB5B55D3479CAF440B3AB431FECD3B3689EFF8 +Q = 02EDF9B95E2D585FEA9C3552C26363408AE87B45108F0D649C +y = 0x07127FF8FD54A4AA2CB8635055D3BD81E26CFC767E483839 +Z = 02456E8CCB1C32E0BD0CC0F10F03E461E3DEC35B1D9CF920DE + +P = 03C74D98BEC8CFA33F1B37B8D81EBC14A33E10ACF2A5BB19B7 +x = 0xCEEC93F24B7D51843753FA20FF1A47F9E1D6E932FE35234A +Q = 0347739AF6BF75F5FAD46E472B11D2C72555727588655FE291 +y = 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03D5EFF7296ECBFFA13C823B6D27604FDB1EE8DAF436943248E37BA0FC70568D3D +x = 0x0592EEDB726580AD0CC2B2F5446F2ABC7072DE2D1CB93FF9C3F0AC372E3197FB +Q = 03DE7690E07BD758FA4B59B59C65C2B0468DAFED8AF9476F578D2FD3B72B83EF9A +y = 0xE9ACB3401A4F96DFFE2D0ED0F985A8AFB2B38296E9940BDB0CE4DB8A69EDA2CF +Z = 02711CF6391556320ADA13F447C98E1B3AB9AABC52FB39D5DFBF9F61DB0E8FC963 + +P = 03F479C3AB01F01DDC4FA3D60B1E0F5AE5AAC8948631B87EC3FDBE9949268D7E9D +x = 0x4682B6F4A6D3ABBF82339CC9AA7D485092962E5881EFEC190D38E76209E4F177 +Q = 02A3FBB2D78A22BA29A33BD89EA3B1A276206A750BBDEDAACADF4DE30E9BD9ABAA +y = 0x9BCF7B742BEAF275AA7BEDCB3317F7648342318112EFB3EEF09E3FB4C83CEE15 +Z = 0249E5D12F48DF4BD6742716FC27D91BA3431DDA43B6525B1D80FCF42987CA912C + +P = 0291DAB6D5022A0C23235569228BE7B3055848C6D32579AFEFBFA8B1C6E99212D1 +x = 0x42F3A8F21EBC781BAE88625D2E7CE558865F69D00B3CE5E7EA8815E4A5F86D68 +Q = 03250ABC66634A6A3298FEBC6A27D68D6F70AE06309D77397B72760001B8170D39 +y = 0xB6E5E42CB5E187982A198F2170C7593D2FF75A4D1A932821E9C2A593C141BB58 +Z = 026B74971AEB878D9D229C5C626EA03AA6D3DE85EC46CC6EC67B09DF3F3E50CDD2 + +P = 02E1DEBADEC02148083EBD55CBF89C0A1CAEE834E70113E30A3235CBA8C08A973D +x = 0xA8FE4DAF3AF1DAF50FB652EC2F9441A23CB1CE9752BB4667D646B49FEFDAE94D +Q = 02073B93FFA5813216CFE97EDC4791F84172A2174BCC5FB7879AD6AD2B0F0DBE27 +y = 0x94EE7AD61CC914C44C6F50236CB6FD68B2F1A384D9EC95F1A94835598C7029DD +Z = 030275BF2372750B7359ACF8DDDB56C1B88C9B78B7650A1F46B03C87FEFC4E38C7 + +P = 02E4AF407F5D6D3D141FEC04E985C4C6146501E4F8B482E702089E8C5435327A71 +x = 0x655203774A5A3E49A550BE261BD160C22AA7D05C805F80E0595FA7CE8DBC9849 +Q = 0241C4AFDA1F18C193E38722014A63D8477B499E8DC66CBB6958D38C20A9991441 +y = 0xB3B74F675D26E31F2B0DB7B731D330671DA04AE6384B706741B1959CC4D502E7 +Z = 0359D044EE2966C1BEB9F72189FA259965891AEDF2487EC584E6D91BBD8DFC3317 + +P = 0268A5DE09CB293CDAC751B0545E955F17074562CE8FFE9AE94D5BE84893C07669 +x = 0x0C27FAA7DAD08E76B07C0613525276672CCB8B354BEFF8A2B58CB33D13573058 +Q = 033AECBB2FBFC1F7F1C749D59E0D2A894ED2D3F02FB8AC303F0B466A06681222C9 +y = 0xB762DE2537733744F2E3D9522B1DB5ACAFC0601EECA76C6D93C46E264214B15C +Z = 02E2DCD0A3C74A177394D54C20FA92D18577B83B99E7D6D3A88FCEEEF66D8D2013 + +P = 03F22502CC2766C7447F1DB330FC7162D4F78C3101AD59B4A8B6A76DB200EEDB2F +x = 0x619B175B43C5A184A28A38CFFBE47411995EA60C6913EDFBFF097193753CAF6B +Q = 0372C2806710CC4C54F253F9FCD097CD3456EA1E9CA81016BEA60FC2BAE4B5F84C +y = 0x22B23CC8047250F5AEA6244D67A3BC0C05D1333AFD6E4DFD9C9733169FCE141A +Z = 021953540AE0F719547EB8259A421EA41CE0C50C81A083A0D8723EC7F2C487CB4D + +P = 02EE915516613C9C5583AA97D08FBE7D6C873953F22BDDACE012E2D4EE9806FAB1 +x = 0x78D17E8E23AEC17F5BB8F37AB057BF37C019CF8A2B2221867C85E11CFE221466 +Q = 03B2A038A84374AF50ECE48C1447005FA7597EBF0680A8C54423D500D25CD562C6 +y = 0x568249E6AB74725CF17E2D490F87385018D3342071B976027D14D11CB896D60F +Z = 02B1869D78D5ED0FFB02E63A925D29AC31FEB83E2B65254A1BC04B302772C360D6 + +P = 02CB2CA3D7E733868BF4DDFED05987A89C723D06C305B486E28A56ED686F719EFE +x = 0xCB8BD9603B1F1D26C59DBBA08C4E0D33BEF49CC8BD7F935BB3E69043A5DE670E +Q = 0225B884393CE987F18E469E96182476E76AFEFDDE684D43800928C4F159912245 +y = 0x293E6F06315886C04081680BF8D52F5F0B7F5E8D6108B0F5B409B80FF673427F +Z = 029CEE5582D70268D057057BBF4D60F1FD3DFE61D659F42B10234688789F1DC0F1 + +P = 03A99B24ABA0FF8666CADFFE22105C0EE9429E7A3C9C613C595F23CE431280D25C +x = 0x3C2C58E9F00015FC4A04A5705F0DD2E1585A826F42582F8665DC2EC8C58372CD +Q = 025799534F37558486D8A2C43A06E338B057761B84F6C3FE65AB7B5FDC318ACF47 +y = 0xA09E602888E15693D808BF2052A41B660BB499F13BB8A40387FA4C3BA04D9126 +Z = 02E6E64F187B24EAAA4E5DDD723A9A2C08C04A08A27DE63B3A517B95C7F93B98DE + +P = 03D9FDC89A47ED5FCED635E2A686794378D4C71CD7566089C2AE62EA76869F778F +x = 0xDB3E9EDDA6DB5F99550E929F75798D2142E66D39DCE7D1B2E5C7C005C7845EEC +Q = 034C64034D3122782BC073EB232F66F6BA7E172431C56E55EE3FB52D4B4C766FCC +y = 0x2C419A9ADDF1AECBB0B370E1EAF406BBF1D024A54B645D9A6D55F56F14B63240 +Z = 02396B5FB8DC96BFBC2401FF7812B1EF65AADE8CB466833F65958DF0E93996E2E3 + +P = 0328B3806474761143BD6C28DE4D39DAD9D8FB955281333AC1584B906E995BE936 +x = 0x49D9E6B156BADCD5D04D4D6A41DDD5DBEF2B35F9BE0EC0BA22975107E79940BC +Q = 036A1425512A6150058380CF0382202128CB14D885CF0EA52C1D44F173D124B5A4 +y = 0x85AAAEAFEBD3CB8C447CCF1F8488BBD96856B71215DDB8B3303B2D044769DE45 +Z = 02F204F56D2D5656CC938539AAE98CC715601C548B7A6EFD8CF848AEFDEA89C072 + +P = 020B59B182694511F16AA031F7806C4252E571A29FA58C24DAC3F414D5A1CBBDF3 +x = 0x53D8528E040B42F4A70A8B02F411CBE25D2A15CA9478F15B23E43AE5C6376DB3 +Q = 02CA0CAB85DD9A22DB1E4115F65A5A1F30CC053B8EA23711F5297FAE965E9F4E1B +y = 0xC2402EE718EF59FC73C6D701923B4A0FBBEEFABEB1B67508CA234435823B56BD +Z = 03701BF4774D4A0F753D3248833CEDE2E53B631D49AE6272646BED46B00602E0E7 + +P = 03FBD017E653155B9A52C3EB657110B0807C1A03E74B69F9F11FEE96C7F9307BD7 +x = 0x61873DD858812039A83659D724455DF61F0BE32ED7551500C526943F5AD12F0A +Q = 03C2CCE50FD7E4303F46B4CB6CCA4B705762298F077A60F5CC958E14706AE75452 +y = 0x886A1478E0B5FA451D2844A0722EEE9ADF6FA5882E542028A229B14623BC2DE0 +Z = 020764C0EBAED69D6658AF7C16B378BFBD1267AD3DD626C827273904641D2D07AB + +P = 02969D001FDD2B9C675CECDBB4535FFD12D106EEF9DB5102CCEAA6C3C80C9DF7E8 +x = 0x8A1EE8E784F46F45B4BF7060041A72E53FE3AAF4F5860CFE09091716F1A62356 +Q = 03775498EA7805BF277FC414B4D4520AF62B743ED60FD605006DFD29509885EE73 +y = 0x38C59965A0ECE2FD1F3CF84FEA5805AA052F64DFD278B0FAB5F3E190E824EFD2 +Z = 03B41A643992F472910009AFA5ECC2F7F19130E6E59C4323ED1189353E5CD80E60 + +P = 03A76295264D241AF481D72F2FD7315D7AF1272F8C41B81161E421FACA93F1DF3F +x = 0xD39ABF490512F093A23EDABC6618BD38B97F53C15CA492F0AFA3C1D2AFD8619A +Q = 02B2EC21B1B4AC56D7E03E19A0166D68F34D26E1D4A11690E992409EE6CB3EA76A +y = 0xF9CFF3B2302F7ADCDAAAA99C13F7343AE270323C12FA8C79AEF2BB1AED901B86 +Z = 0265728429335983FF2410892FC538BB744446DEBCE6C278F5882F55F5BB635F84 + +P = 0356636E42F03897AC08792009A905D059F609B0D183DAC0814CF846B938FD53F1 +x = 0x8CDD730D7B248A286B97DE699C7C75771B0EF12A72A0F11F81D6C31CBDEC2478 +Q = 0213FA9217067DDD6D06F88070C9890FAA427CF40072FD37EF1D41F7F21C2397A8 +y = 0x4A439F3F26579446CFB01224617609329959133A09BA7CF0189B22209050A38A +Z = 020929B1873A3A5AFD32CBF196FA800ADC1A205345660B000630786F60530EEFE7 + +P = 03BE77A108698066DD391760990A7FB79B0BE39C26CEAE12A04546403F6831D882 +x = 0x4CB75038F3D0714081E0367AFEA6B9A81A4054330E0583010F7AC8D99283ECC6 +Q = 0224E1D02B492802D79E99166CF0655DAEACD9DD682293C9F0EC1340AC27A40482 +y = 0x98798922C5AFCDE630E82F52D00E0086BFFB8A6598762A670636A0C1342BC333 +Z = 028C0F9E43C7239484F225A06517AA69D1BACD917B5350D4B8CDFF99BBB15EE980 + +P = 02E55897F4B9BF3DDB43EFEF961A2EC382E579960F2925404E91D7773A8B8A2AB6 +x = 0x5E445E6861D03C8C474E8E954193A6C6FD5D32D91BB5C0D3F37A3917B46BF824 +Q = 02B51E9639DDA6D6B5BF89A1BC329DAC9EEE90310C4734783E8CD5C254F960FF6C +y = 0x6578B86C5C1B37D25C1C68EAF6A99AB907C5BDACBE90722D29C362B89730A3F7 +Z = 0304CF6DDA21E595DC2532B7394C75CDCA0BED301C256A7C299AE49262118717A4 + +P = 03E843257309357C574334B1BB0450AF1D649D4F2455900A0313771BBE13070DFD +x = 0xA42A91B73AC2902982FDC51905CF51090B7C51677ED7D42083D5769C1DAF3338 +Q = 027F31246C61D68B6B8A2A56DA22A8F03368C0BE54382BFE3E8C45A1E01CF51F4A +y = 0x0CC9EDC252CC660491F4FB6558C37B68A032D5C7E22B1A1738B6BA6098B94EB9 +Z = 0265F1D1198AADC30BABF8B3F2629954C514E17BC345E3D76BF630C0B69C9A8B65 + +P = 02B3A4111B56EF66F171910793FAEDB272369FF9CDAFBAB4BE15455D786AC607B1 +x = 0x8F5E260CF78B39A497AF59BBBEE4A2AACAA9C2A4BC94F0F6ACBE695B9BED296E +Q = 02123130F66AD32AA8612A182D2815E1B3875CEA746F00A401FAA7BC2C4520F66D +y = 0x3F7770550F54F45C7DD606F847FA631C1B77AEDE204B689AF15E4ADAAA057E06 +Z = 0213A1700CA2A49CC7E2AD3F7BE45E1A1A439209A434E618CFC8E07F0F51957379 + +P = 02DD9FAD72AE80E0985465E25B4F3A292C3EC370CB0EECAF4D00E6F2BA32DF5FFF +x = 0xE6266C7D93C1954F465E8EC4A9366857B810A2D3462E04449316A57CF9D7F7E3 +Q = 023B9F6BD183E1AF48F304235AED608D4C6ED431A3A886CF9CB7DCFCB19207DE5A +y = 0xC79CB2B2B5CFB969229469992BB6B9A1BF575A289A59EE51BA36139B04DE7756 +Z = 0258AF6283672432DD608C930CAC99D521784C30F93F144FFD6ADA0FE940E29618 + +P = 03288DEA9C21CB5BDE0A4B0149E0A39064F94D390EAE4EF5EB97A43C59A408D24E +x = 0x8C5EAA23609B5922EF8E0C1C5A6FF255994BC5EFD5D74FC2D09E0B6DA3A439EF +Q = 02AA7BDAFB90BC1EE2D5CB387801EA1586AAE197467237F61985C77B23C1D0120F +y = 0xF427F4B152B70EDEE3F749B3D5023D249EB9EE2D13F6A678C911F974421C2DF7 +Z = 032D1928B236BC9D59F43ACF3A668B4C09C81BCBBA3FB663ADA95A3F72844773E9 + +P = 0201CCF36DC86714E13FC6565D8BCFA291DFA070AC5C6F806B815DAF7547E19138 +x = 0xE927141BFCE526E654385C1563743EC9B56916D079CB0F6CA038B650F772574E +Q = 034817757FD51AB42EADDF5D8AB75F9D7A8C7E57F54641F56A54C27CEFFC72CBAA +y = 0x3A2EB388810D164A93254355E387DFB04EFBC65CA35D614D9375195CA03FB6DF +Z = 0291B6D6AE628C738EEA482A00CF527E65B7B3DA4A0FD8C6F6B0F709BBD092C648 + +P = 029DF2F64D37F6ECF219942282EB4348D2B31AD1AF97EEF806E4315669DFBE13C1 +x = 0x5A87F4DB8844FA9242B0BEF595A970262740846B1382E8001CE40B31AA73365B +Q = 02FBBB06561FE763DCDF45B71D96F07C221A3AB455A8733339BF589DB2B4ADADDB +y = 0x96F297E4548DB8840EE1907BFDED50A0D3163D6222089DA78D68DA806802E350 +Z = 036863B7B7ABEA1D486DD6A1CD1D2BFB062C0831EBBF2F327C51C132A42487EFA0 + diff --git a/src/tests/test_ecc_pointmul.cpp b/src/tests/test_ecc_pointmul.cpp index 6a096f7feef..7ddcbd7ee3e 100644 --- a/src/tests/test_ecc_pointmul.cpp +++ b/src/tests/test_ecc_pointmul.cpp @@ -97,6 +97,32 @@ class ECC_Varpoint_Mul_Tests final : public Text_Based_Test { BOTAN_REGISTER_TEST("pubkey", "ecc_varmul", ECC_Varpoint_Mul_Tests); +class ECC_Mul2_Tests final : public Text_Based_Test { + public: + ECC_Mul2_Tests() : Text_Based_Test("pubkey/ecc_var_point_mul2.vec", "P,x,Q,y,Z") {} + + Test::Result run_one_test(const std::string& group_id, const VarMap& vars) override { + Test::Result result("ECC mul2 " + group_id); + + const auto Z_bytes = vars.get_req_bin("Z"); + + const auto group = Botan::EC_Group::from_name(group_id); + + const auto p = Botan::EC_AffinePoint::deserialize(group, vars.get_req_bin("P")).value(); + const auto q = Botan::EC_AffinePoint::deserialize(group, vars.get_req_bin("Q")).value(); + const auto x = Botan::EC_Scalar::from_bigint(group, vars.get_req_bn("x")); + const auto y = Botan::EC_Scalar::from_bigint(group, vars.get_req_bn("y")); + + const auto z1 = Botan::EC_AffinePoint::mul_px_qy(p, x, q, y, rng()); + + result.test_eq("EC_AffinePoint::mul_px_qy", z1.serialize_compressed(), Z_bytes); + + return result; + } +}; + +BOTAN_REGISTER_TEST("pubkey", "ecc_mul2", ECC_Mul2_Tests); + #endif } // namespace