diff options
Diffstat (limited to 'crypto/src/math/ec/custom/sec')
18 files changed, 376 insertions, 18 deletions
diff --git a/crypto/src/math/ec/custom/sec/SecT113Field.cs b/crypto/src/math/ec/custom/sec/SecT113Field.cs index dbb645e6f..640c6e787 100644 --- a/crypto/src/math/ec/custom/sec/SecT113Field.cs +++ b/crypto/src/math/ec/custom/sec/SecT113Field.cs @@ -37,6 +37,35 @@ namespace Org.BouncyCastle.Math.EC.Custom.Sec return z; } + public static void Invert(ulong[] x, ulong[] z) + { + if (Nat128.IsZero64(x)) + throw new InvalidOperationException(); + + // Itoh-Tsujii inversion + + ulong[] t0 = Nat128.Create64(); + ulong[] t1 = Nat128.Create64(); + + Square(x, t0); + Multiply(t0, x, t0); + Square(t0, t0); + Multiply(t0, x, t0); + SquareN(t0, 3, t1); + Multiply(t1, t0, t1); + Square(t1, t1); + Multiply(t1, x, t1); + SquareN(t1, 7, t0); + Multiply(t0, t1, t0); + SquareN(t0, 14, t1); + Multiply(t1, t0, t1); + SquareN(t1, 28, t0); + Multiply(t0, t1, t0); + SquareN(t0, 56, t1); + Multiply(t1, t0, t1); + Square(t1, z); + } + public static void Multiply(ulong[] x, ulong[] y, ulong[] z) { ulong[] tt = Nat128.CreateExt64(); diff --git a/crypto/src/math/ec/custom/sec/SecT113FieldElement.cs b/crypto/src/math/ec/custom/sec/SecT113FieldElement.cs index e3a923f62..f217e28cb 100644 --- a/crypto/src/math/ec/custom/sec/SecT113FieldElement.cs +++ b/crypto/src/math/ec/custom/sec/SecT113FieldElement.cs @@ -152,8 +152,9 @@ namespace Org.BouncyCastle.Math.EC.Custom.Sec public override ECFieldElement Invert() { - return new SecT113FieldElement( - AbstractF2mCurve.Inverse(113, new int[]{ 9 }, ToBigInteger())); + ulong[] z = Nat128.Create64(); + SecT113Field.Invert(x, z); + return new SecT113FieldElement(z); } public override ECFieldElement Sqrt() diff --git a/crypto/src/math/ec/custom/sec/SecT131Field.cs b/crypto/src/math/ec/custom/sec/SecT131Field.cs index 6a1d2a960..47f97078c 100644 --- a/crypto/src/math/ec/custom/sec/SecT131Field.cs +++ b/crypto/src/math/ec/custom/sec/SecT131Field.cs @@ -40,6 +40,35 @@ namespace Org.BouncyCastle.Math.EC.Custom.Sec return z; } + public static void Invert(ulong[] x, ulong[] z) + { + if (Nat192.IsZero64(x)) + throw new InvalidOperationException(); + + // Itoh-Tsujii inversion + + ulong[] t0 = Nat192.Create64(); + ulong[] t1 = Nat192.Create64(); + + Square(x, t0); + Multiply(t0, x, t0); + SquareN(t0, 2, t1); + Multiply(t1, t0, t1); + SquareN(t1, 4, t0); + Multiply(t0, t1, t0); + SquareN(t0, 8, t1); + Multiply(t1, t0, t1); + SquareN(t1, 16, t0); + Multiply(t0, t1, t0); + SquareN(t0, 32, t1); + Multiply(t1, t0, t1); + Square(t1, t1); + Multiply(t1, x, t1); + SquareN(t1, 65, t0); + Multiply(t0, t1, t0); + Square(t0, z); + } + public static void Multiply(ulong[] x, ulong[] y, ulong[] z) { ulong[] tt = Nat192.CreateExt64(); diff --git a/crypto/src/math/ec/custom/sec/SecT131FieldElement.cs b/crypto/src/math/ec/custom/sec/SecT131FieldElement.cs index 65aaf01ba..0ea00ea07 100644 --- a/crypto/src/math/ec/custom/sec/SecT131FieldElement.cs +++ b/crypto/src/math/ec/custom/sec/SecT131FieldElement.cs @@ -152,8 +152,9 @@ namespace Org.BouncyCastle.Math.EC.Custom.Sec public override ECFieldElement Invert() { - return new SecT131FieldElement( - AbstractF2mCurve.Inverse(131, new int[] { 2, 3, 8 }, ToBigInteger())); + ulong[] z = Nat192.Create64(); + SecT131Field.Invert(x, z); + return new SecT131FieldElement(z); } public override ECFieldElement Sqrt() diff --git a/crypto/src/math/ec/custom/sec/SecT163Field.cs b/crypto/src/math/ec/custom/sec/SecT163Field.cs index 165d5b841..f921a5bc7 100644 --- a/crypto/src/math/ec/custom/sec/SecT163Field.cs +++ b/crypto/src/math/ec/custom/sec/SecT163Field.cs @@ -41,6 +41,47 @@ namespace Org.BouncyCastle.Math.EC.Custom.Sec return z; } + public static void Invert(ulong[] x, ulong[] z) + { + if (Nat192.IsZero64(x)) + throw new InvalidOperationException(); + + // Itoh-Tsujii inversion with bases { 2, 3 } + + ulong[] t0 = Nat192.Create64(); + ulong[] t1 = Nat192.Create64(); + + Square(x, t0); + + // 3 | 162 + SquareN(t0, 1, t1); + Multiply(t0, t1, t0); + SquareN(t1, 1, t1); + Multiply(t0, t1, t0); + + // 3 | 54 + SquareN(t0, 3, t1); + Multiply(t0, t1, t0); + SquareN(t1, 3, t1); + Multiply(t0, t1, t0); + + // 3 | 18 + SquareN(t0, 9, t1); + Multiply(t0, t1, t0); + SquareN(t1, 9, t1); + Multiply(t0, t1, t0); + + // 3 | 6 + SquareN(t0, 27, t1); + Multiply(t0, t1, t0); + SquareN(t1, 27, t1); + Multiply(t0, t1, t0); + + // 2 | 2 + SquareN(t0, 81, t1); + Multiply(t0, t1, z); + } + public static void Multiply(ulong[] x, ulong[] y, ulong[] z) { ulong[] tt = Nat192.CreateExt64(); diff --git a/crypto/src/math/ec/custom/sec/SecT163FieldElement.cs b/crypto/src/math/ec/custom/sec/SecT163FieldElement.cs index 3ab383a1d..c7a0b5639 100644 --- a/crypto/src/math/ec/custom/sec/SecT163FieldElement.cs +++ b/crypto/src/math/ec/custom/sec/SecT163FieldElement.cs @@ -152,8 +152,9 @@ namespace Org.BouncyCastle.Math.EC.Custom.Sec public override ECFieldElement Invert() { - return new SecT163FieldElement( - AbstractF2mCurve.Inverse(163, new int[] { 3, 6, 7 }, ToBigInteger())); + ulong[] z = Nat192.Create64(); + SecT163Field.Invert(x, z); + return new SecT163FieldElement(z); } public override ECFieldElement Sqrt() diff --git a/crypto/src/math/ec/custom/sec/SecT193Field.cs b/crypto/src/math/ec/custom/sec/SecT193Field.cs index 85db061c3..5154f1e0a 100644 --- a/crypto/src/math/ec/custom/sec/SecT193Field.cs +++ b/crypto/src/math/ec/custom/sec/SecT193Field.cs @@ -44,6 +44,49 @@ namespace Org.BouncyCastle.Math.EC.Custom.Sec return z; } + public static void Invert(ulong[] x, ulong[] z) + { + if (Nat256.IsZero64(x)) + throw new InvalidOperationException(); + + // Itoh-Tsujii inversion with bases { 2, 3 } + + ulong[] t0 = Nat256.Create64(); + ulong[] t1 = Nat256.Create64(); + + Square(x, t0); + + // 3 | 192 + SquareN(t0, 1, t1); + Multiply(t0, t1, t0); + SquareN(t1, 1, t1); + Multiply(t0, t1, t0); + + // 2 | 64 + SquareN(t0, 3, t1); + Multiply(t0, t1, t0); + + // 2 | 32 + SquareN(t0, 6, t1); + Multiply(t0, t1, t0); + + // 2 | 16 + SquareN(t0, 12, t1); + Multiply(t0, t1, t0); + + // 2 | 8 + SquareN(t0, 24, t1); + Multiply(t0, t1, t0); + + // 2 | 4 + SquareN(t0, 48, t1); + Multiply(t0, t1, t0); + + // 2 | 2 + SquareN(t0, 96, t1); + Multiply(t0, t1, z); + } + public static void Multiply(ulong[] x, ulong[] y, ulong[] z) { ulong[] tt = Nat256.CreateExt64(); diff --git a/crypto/src/math/ec/custom/sec/SecT193FieldElement.cs b/crypto/src/math/ec/custom/sec/SecT193FieldElement.cs index 995d2ebdd..eba4d10e6 100644 --- a/crypto/src/math/ec/custom/sec/SecT193FieldElement.cs +++ b/crypto/src/math/ec/custom/sec/SecT193FieldElement.cs @@ -152,8 +152,9 @@ namespace Org.BouncyCastle.Math.EC.Custom.Sec public override ECFieldElement Invert() { - return new SecT193FieldElement( - AbstractF2mCurve.Inverse(193, new int[] { 15 }, ToBigInteger())); + ulong[] z = Nat256.Create64(); + SecT193Field.Invert(x, z); + return new SecT193FieldElement(z); } public override ECFieldElement Sqrt() diff --git a/crypto/src/math/ec/custom/sec/SecT233Field.cs b/crypto/src/math/ec/custom/sec/SecT233Field.cs index b36ffba2e..a2f73fd5d 100644 --- a/crypto/src/math/ec/custom/sec/SecT233Field.cs +++ b/crypto/src/math/ec/custom/sec/SecT233Field.cs @@ -45,6 +45,39 @@ namespace Org.BouncyCastle.Math.EC.Custom.Sec return z; } + public static void Invert(ulong[] x, ulong[] z) + { + if (Nat256.IsZero64(x)) + throw new InvalidOperationException(); + + // Itoh-Tsujii inversion + + ulong[] t0 = Nat256.Create64(); + ulong[] t1 = Nat256.Create64(); + + Square(x, t0); + Multiply(t0, x, t0); + Square(t0, t0); + Multiply(t0, x, t0); + SquareN(t0, 3, t1); + Multiply(t1, t0, t1); + Square(t1, t1); + Multiply(t1, x, t1); + SquareN(t1, 7, t0); + Multiply(t0, t1, t0); + SquareN(t0, 14, t1); + Multiply(t1, t0, t1); + Square(t1, t1); + Multiply(t1, x, t1); + SquareN(t1, 29, t0); + Multiply(t0, t1, t0); + SquareN(t0, 58, t1); + Multiply(t1, t0, t1); + SquareN(t1, 116, t0); + Multiply(t0, t1, t0); + Square(t0, z); + } + public static void Multiply(ulong[] x, ulong[] y, ulong[] z) { ulong[] tt = Nat256.CreateExt64(); diff --git a/crypto/src/math/ec/custom/sec/SecT233FieldElement.cs b/crypto/src/math/ec/custom/sec/SecT233FieldElement.cs index 60b204604..a9041efde 100644 --- a/crypto/src/math/ec/custom/sec/SecT233FieldElement.cs +++ b/crypto/src/math/ec/custom/sec/SecT233FieldElement.cs @@ -152,8 +152,9 @@ namespace Org.BouncyCastle.Math.EC.Custom.Sec public override ECFieldElement Invert() { - return new SecT233FieldElement( - AbstractF2mCurve.Inverse(233, new int[] { 74 }, ToBigInteger())); + ulong[] z = Nat256.Create64(); + SecT233Field.Invert(x, z); + return new SecT233FieldElement(z); } public override ECFieldElement Sqrt() diff --git a/crypto/src/math/ec/custom/sec/SecT239Field.cs b/crypto/src/math/ec/custom/sec/SecT239Field.cs index 6dab907dd..6b8ad696f 100644 --- a/crypto/src/math/ec/custom/sec/SecT239Field.cs +++ b/crypto/src/math/ec/custom/sec/SecT239Field.cs @@ -45,6 +45,43 @@ namespace Org.BouncyCastle.Math.EC.Custom.Sec return z; } + public static void Invert(ulong[] x, ulong[] z) + { + if (Nat256.IsZero64(x)) + throw new InvalidOperationException(); + + // Itoh-Tsujii inversion + + ulong[] t0 = Nat256.Create64(); + ulong[] t1 = Nat256.Create64(); + + Square(x, t0); + Multiply(t0, x, t0); + Square(t0, t0); + Multiply(t0, x, t0); + SquareN(t0, 3, t1); + Multiply(t1, t0, t1); + Square(t1, t1); + Multiply(t1, x, t1); + SquareN(t1, 7, t0); + Multiply(t0, t1, t0); + SquareN(t0, 14, t1); + Multiply(t1, t0, t1); + Square(t1, t1); + Multiply(t1, x, t1); + SquareN(t1, 29, t0); + Multiply(t0, t1, t0); + Square(t0, t0); + Multiply(t0, x, t0); + SquareN(t0, 59, t1); + Multiply(t1, t0, t1); + Square(t1, t1); + Multiply(t1, x, t1); + SquareN(t1, 119, t0); + Multiply(t0, t1, t0); + Square(t0, z); + } + public static void Multiply(ulong[] x, ulong[] y, ulong[] z) { ulong[] tt = Nat256.CreateExt64(); diff --git a/crypto/src/math/ec/custom/sec/SecT239FieldElement.cs b/crypto/src/math/ec/custom/sec/SecT239FieldElement.cs index e7bfffd1f..de074c55f 100644 --- a/crypto/src/math/ec/custom/sec/SecT239FieldElement.cs +++ b/crypto/src/math/ec/custom/sec/SecT239FieldElement.cs @@ -152,8 +152,9 @@ namespace Org.BouncyCastle.Math.EC.Custom.Sec public override ECFieldElement Invert() { - return new SecT239FieldElement( - AbstractF2mCurve.Inverse(239, new int[] { 158 }, ToBigInteger())); + ulong[] z = Nat256.Create64(); + SecT239Field.Invert(x, z); + return new SecT239FieldElement(z); } public override ECFieldElement Sqrt() diff --git a/crypto/src/math/ec/custom/sec/SecT283Field.cs b/crypto/src/math/ec/custom/sec/SecT283Field.cs index 435787467..903ea02ff 100644 --- a/crypto/src/math/ec/custom/sec/SecT283Field.cs +++ b/crypto/src/math/ec/custom/sec/SecT283Field.cs @@ -48,6 +48,41 @@ namespace Org.BouncyCastle.Math.EC.Custom.Sec return z; } + public static void Invert(ulong[] x, ulong[] z) + { + if (Nat320.IsZero64(x)) + throw new InvalidOperationException(); + + // Itoh-Tsujii inversion + + ulong[] t0 = Nat320.Create64(); + ulong[] t1 = Nat320.Create64(); + + Square(x, t0); + Multiply(t0, x, t0); + SquareN(t0, 2, t1); + Multiply(t1, t0, t1); + SquareN(t1, 4, t0); + Multiply(t0, t1, t0); + SquareN(t0, 8, t1); + Multiply(t1, t0, t1); + Square(t1, t1); + Multiply(t1, x, t1); + SquareN(t1, 17, t0); + Multiply(t0, t1, t0); + Square(t0, t0); + Multiply(t0, x, t0); + SquareN(t0, 35, t1); + Multiply(t1, t0, t1); + SquareN(t1, 70, t0); + Multiply(t0, t1, t0); + Square(t0, t0); + Multiply(t0, x, t0); + SquareN(t0, 141, t1); + Multiply(t1, t0, t1); + Square(t1, z); + } + public static void Multiply(ulong[] x, ulong[] y, ulong[] z) { ulong[] tt = Nat320.CreateExt64(); diff --git a/crypto/src/math/ec/custom/sec/SecT283FieldElement.cs b/crypto/src/math/ec/custom/sec/SecT283FieldElement.cs index 9181b8685..e02108f73 100644 --- a/crypto/src/math/ec/custom/sec/SecT283FieldElement.cs +++ b/crypto/src/math/ec/custom/sec/SecT283FieldElement.cs @@ -152,8 +152,9 @@ namespace Org.BouncyCastle.Math.EC.Custom.Sec public override ECFieldElement Invert() { - return new SecT283FieldElement( - AbstractF2mCurve.Inverse(283, new int[] { 5, 7, 12 }, ToBigInteger())); + ulong[] z = Nat320.Create64(); + SecT283Field.Invert(x, z); + return new SecT283FieldElement(z); } public override ECFieldElement Sqrt() diff --git a/crypto/src/math/ec/custom/sec/SecT409Field.cs b/crypto/src/math/ec/custom/sec/SecT409Field.cs index ce6f43f2e..84eada96e 100644 --- a/crypto/src/math/ec/custom/sec/SecT409Field.cs +++ b/crypto/src/math/ec/custom/sec/SecT409Field.cs @@ -47,6 +47,57 @@ namespace Org.BouncyCastle.Math.EC.Custom.Sec return z; } + public static void Invert(ulong[] x, ulong[] z) + { + if (Nat448.IsZero64(x)) + throw new InvalidOperationException(); + + // Itoh-Tsujii inversion with bases { 2, 3 } + + ulong[] t0 = Nat448.Create64(); + ulong[] t1 = Nat448.Create64(); + ulong[] t2 = Nat448.Create64(); + + Square(x, t0); + + // 3 | 408 + SquareN(t0, 1, t1); + Multiply(t0, t1, t0); + SquareN(t1, 1, t1); + Multiply(t0, t1, t0); + + // 2 | 136 + SquareN(t0, 3, t1); + Multiply(t0, t1, t0); + + // 2 | 68 + SquareN(t0, 6, t1); + Multiply(t0, t1, t0); + + // 2 | 34 + SquareN(t0, 12, t1); + Multiply(t0, t1, t2); + + // ! {2,3} | 17 + SquareN(t2, 24, t0); + SquareN(t0, 24, t1); + Multiply(t0, t1, t0); + + // 2 | 8 + SquareN(t0, 48, t1); + Multiply(t0, t1, t0); + + // 2 | 4 + SquareN(t0, 96, t1); + Multiply(t0, t1, t0); + + // 2 | 2 + SquareN(t0, 192, t1); + Multiply(t0, t1, t0); + + Multiply(t0, t2, z); + } + public static void Multiply(ulong[] x, ulong[] y, ulong[] z) { ulong[] tt = Nat448.CreateExt64(); diff --git a/crypto/src/math/ec/custom/sec/SecT409FieldElement.cs b/crypto/src/math/ec/custom/sec/SecT409FieldElement.cs index b60ceafee..581ea73df 100644 --- a/crypto/src/math/ec/custom/sec/SecT409FieldElement.cs +++ b/crypto/src/math/ec/custom/sec/SecT409FieldElement.cs @@ -152,8 +152,9 @@ namespace Org.BouncyCastle.Math.EC.Custom.Sec public override ECFieldElement Invert() { - return new SecT409FieldElement( - AbstractF2mCurve.Inverse(409, new int[] { 87 }, ToBigInteger())); + ulong[] z = Nat448.Create64(); + SecT409Field.Invert(x, z); + return new SecT409FieldElement(z); } public override ECFieldElement Sqrt() diff --git a/crypto/src/math/ec/custom/sec/SecT571Field.cs b/crypto/src/math/ec/custom/sec/SecT571Field.cs index 921c841a9..fc84e336b 100644 --- a/crypto/src/math/ec/custom/sec/SecT571Field.cs +++ b/crypto/src/math/ec/custom/sec/SecT571Field.cs @@ -59,6 +59,57 @@ namespace Org.BouncyCastle.Math.EC.Custom.Sec return z; } + public static void Invert(ulong[] x, ulong[] z) + { + if (Nat576.IsZero64(x)) + throw new InvalidOperationException(); + + // Itoh-Tsujii inversion with bases { 2, 3, 5 } + + ulong[] t0 = Nat576.Create64(); + ulong[] t1 = Nat576.Create64(); + ulong[] t2 = Nat576.Create64(); + + Square(x, t2); + + // 5 | 570 + Square(t2, t0); + Square(t0, t1); + Multiply(t0, t1, t0); + SquareN(t0, 2, t1); + Multiply(t0, t1, t0); + Multiply(t0, t2, t0); + + // 3 | 114 + SquareN(t0, 5, t1); + Multiply(t0, t1, t0); + SquareN(t1, 5, t1); + Multiply(t0, t1, t0); + + // 2 | 38 + SquareN(t0, 15, t1); + Multiply(t0, t1, t2); + + // ! {2,3,5} | 19 + SquareN(t2, 30, t0); + SquareN(t0, 30, t1); + Multiply(t0, t1, t0); + + // 3 | 9 + SquareN(t0, 60, t1); + Multiply(t0, t1, t0); + SquareN(t1, 60, t1); + Multiply(t0, t1, t0); + + // 3 | 3 + SquareN(t0, 180, t1); + Multiply(t0, t1, t0); + SquareN(t1, 180, t1); + Multiply(t0, t1, t0); + + Multiply(t0, t2, z); + } + public static void Multiply(ulong[] x, ulong[] y, ulong[] z) { ulong[] tt = Nat576.CreateExt64(); diff --git a/crypto/src/math/ec/custom/sec/SecT571FieldElement.cs b/crypto/src/math/ec/custom/sec/SecT571FieldElement.cs index a26e1e336..5d5458412 100644 --- a/crypto/src/math/ec/custom/sec/SecT571FieldElement.cs +++ b/crypto/src/math/ec/custom/sec/SecT571FieldElement.cs @@ -152,8 +152,9 @@ namespace Org.BouncyCastle.Math.EC.Custom.Sec public override ECFieldElement Invert() { - return new SecT571FieldElement( - AbstractF2mCurve.Inverse(571, new int[] { 2, 5, 10 }, ToBigInteger())); + ulong[] z = Nat576.Create64(); + SecT571Field.Invert(x, z); + return new SecT571FieldElement(z); } public override ECFieldElement Sqrt() |