Add experimental support for GLV Type A endomorphisms

15 files changed, 398 insertions, 111 deletions

diff --git a/crypto/BouncyCastle.Android.csproj b/crypto/BouncyCastle.Android.csproj
index 41ad0c236..2c2c44f86 100644
--- a/crypto/BouncyCastle.Android.csproj
+++ b/crypto/BouncyCastle.Android.csproj
@@ -1225,7 +1225,9 @@
     <Compile Include="src\math\ec\ECPoint.cs" />
     <Compile Include="src\math\ec\ECPointMap.cs" />
     <Compile Include="src\math\ec\LongArray.cs" />
+    <Compile Include="src\math\ec\ScaleXNegateYPointMap.cs" />
     <Compile Include="src\math\ec\ScaleXPointMap.cs" />
+    <Compile Include="src\math\ec\ScaleYNegateXPointMap.cs" />
     <Compile Include="src\math\ec\ScaleYPointMap.cs" />
     <Compile Include="src\math\ec\SimpleLookupTable.cs" />
     <Compile Include="src\math\ec\abc\SimpleBigDecimal.cs" />
@@ -1340,9 +1342,13 @@
     <Compile Include="src\math\ec\custom\sec\SecT571R1Curve.cs" />
     <Compile Include="src\math\ec\custom\sec\SecT571R1Point.cs" />
     <Compile Include="src\math\ec\endo\ECEndomorphism.cs" />
+    <Compile Include="src\math\ec\endo\EndoUtilities.cs" />
     <Compile Include="src\math\ec\endo\GlvEndomorphism.cs" />
+    <Compile Include="src\math\ec\endo\GlvTypeAEndomorphism.cs" />
+    <Compile Include="src\math\ec\endo\GlvTypeAParameters.cs" />
     <Compile Include="src\math\ec\endo\GlvTypeBEndomorphism.cs" />
     <Compile Include="src\math\ec\endo\GlvTypeBParameters.cs" />
+    <Compile Include="src\math\ec\endo\ScalarSplitParameters.cs" />
     <Compile Include="src\math\ec\multiplier\AbstractECMultiplier.cs" />
     <Compile Include="src\math\ec\multiplier\DoubleAddMultiplier.cs" />
     <Compile Include="src\math\ec\multiplier\ECMultiplier.cs" />
diff --git a/crypto/BouncyCastle.csproj b/crypto/BouncyCastle.csproj
index 8c7f342d2..6a5e58829 100644
--- a/crypto/BouncyCastle.csproj
+++ b/crypto/BouncyCastle.csproj
@@ -1219,7 +1219,9 @@
     <Compile Include="src\math\ec\ECPoint.cs" />
     <Compile Include="src\math\ec\ECPointMap.cs" />
     <Compile Include="src\math\ec\LongArray.cs" />
+    <Compile Include="src\math\ec\ScaleXNegateYPointMap.cs" />
     <Compile Include="src\math\ec\ScaleXPointMap.cs" />
+    <Compile Include="src\math\ec\ScaleYNegateXPointMap.cs" />
     <Compile Include="src\math\ec\ScaleYPointMap.cs" />
     <Compile Include="src\math\ec\SimpleLookupTable.cs" />
     <Compile Include="src\math\ec\abc\SimpleBigDecimal.cs" />
@@ -1334,9 +1336,13 @@
     <Compile Include="src\math\ec\custom\sec\SecT571R1Curve.cs" />
     <Compile Include="src\math\ec\custom\sec\SecT571R1Point.cs" />
     <Compile Include="src\math\ec\endo\ECEndomorphism.cs" />
+    <Compile Include="src\math\ec\endo\EndoUtilities.cs" />
     <Compile Include="src\math\ec\endo\GlvEndomorphism.cs" />
+    <Compile Include="src\math\ec\endo\GlvTypeAEndomorphism.cs" />
+    <Compile Include="src\math\ec\endo\GlvTypeAParameters.cs" />
     <Compile Include="src\math\ec\endo\GlvTypeBEndomorphism.cs" />
     <Compile Include="src\math\ec\endo\GlvTypeBParameters.cs" />
+    <Compile Include="src\math\ec\endo\ScalarSplitParameters.cs" />
     <Compile Include="src\math\ec\multiplier\AbstractECMultiplier.cs" />
     <Compile Include="src\math\ec\multiplier\DoubleAddMultiplier.cs" />
     <Compile Include="src\math\ec\multiplier\ECMultiplier.cs" />
diff --git a/crypto/BouncyCastle.iOS.csproj b/crypto/BouncyCastle.iOS.csproj
index f3ffb3b66..8194180f5 100644
--- a/crypto/BouncyCastle.iOS.csproj
+++ b/crypto/BouncyCastle.iOS.csproj
@@ -1220,7 +1220,9 @@
     <Compile Include="src\math\ec\ECPoint.cs" />
     <Compile Include="src\math\ec\ECPointMap.cs" />
     <Compile Include="src\math\ec\LongArray.cs" />
+    <Compile Include="src\math\ec\ScaleXNegateYPointMap.cs" />
     <Compile Include="src\math\ec\ScaleXPointMap.cs" />
+    <Compile Include="src\math\ec\ScaleYNegateXPointMap.cs" />
     <Compile Include="src\math\ec\ScaleYPointMap.cs" />
     <Compile Include="src\math\ec\SimpleLookupTable.cs" />
     <Compile Include="src\math\ec\abc\SimpleBigDecimal.cs" />
@@ -1335,9 +1337,13 @@
     <Compile Include="src\math\ec\custom\sec\SecT571R1Curve.cs" />
     <Compile Include="src\math\ec\custom\sec\SecT571R1Point.cs" />
     <Compile Include="src\math\ec\endo\ECEndomorphism.cs" />
+    <Compile Include="src\math\ec\endo\EndoUtilities.cs" />
     <Compile Include="src\math\ec\endo\GlvEndomorphism.cs" />
+    <Compile Include="src\math\ec\endo\GlvTypeAEndomorphism.cs" />
+    <Compile Include="src\math\ec\endo\GlvTypeAParameters.cs" />
     <Compile Include="src\math\ec\endo\GlvTypeBEndomorphism.cs" />
     <Compile Include="src\math\ec\endo\GlvTypeBParameters.cs" />
+    <Compile Include="src\math\ec\endo\ScalarSplitParameters.cs" />
     <Compile Include="src\math\ec\multiplier\AbstractECMultiplier.cs" />
     <Compile Include="src\math\ec\multiplier\DoubleAddMultiplier.cs" />
     <Compile Include="src\math\ec\multiplier\ECMultiplier.cs" />
diff --git a/crypto/crypto.csproj b/crypto/crypto.csproj
index 1b4cccd52..4e6330818 100644
--- a/crypto/crypto.csproj
+++ b/crypto/crypto.csproj
@@ -5984,11 +5984,21 @@
                     BuildAction = "Compile"
                 />
                 <File
+                    RelPath = "src\math\ec\ScaleXNegateYPointMap.cs"
+                    SubType = "Code"
+                    BuildAction = "Compile"
+                />
+                <File
                     RelPath = "src\math\ec\ScaleXPointMap.cs"
                     SubType = "Code"
                     BuildAction = "Compile"
                 />
                 <File
+                    RelPath = "src\math\ec\ScaleYNegateXPointMap.cs"
+                    SubType = "Code"
+                    BuildAction = "Compile"
+                />
+                <File
                     RelPath = "src\math\ec\ScaleYPointMap.cs"
                     SubType = "Code"
                     BuildAction = "Compile"
@@ -6559,11 +6569,26 @@
                     BuildAction = "Compile"
                 />
                 <File
+                    RelPath = "src\math\ec\endo\EndoUtilities.cs"
+                    SubType = "Code"
+                    BuildAction = "Compile"
+                />
+                <File
                     RelPath = "src\math\ec\endo\GlvEndomorphism.cs"
                     SubType = "Code"
                     BuildAction = "Compile"
                 />
                 <File
+                    RelPath = "src\math\ec\endo\GlvTypeAEndomorphism.cs"
+                    SubType = "Code"
+                    BuildAction = "Compile"
+                />
+                <File
+                    RelPath = "src\math\ec\endo\GlvTypeAParameters.cs"
+                    SubType = "Code"
+                    BuildAction = "Compile"
+                />
+                <File
                     RelPath = "src\math\ec\endo\GlvTypeBEndomorphism.cs"
                     SubType = "Code"
                     BuildAction = "Compile"
@@ -6574,6 +6599,11 @@
                     BuildAction = "Compile"
                 />
                 <File
+                    RelPath = "src\math\ec\endo\ScalarSplitParameters.cs"
+                    SubType = "Code"
+                    BuildAction = "Compile"
+                />
+                <File
                     RelPath = "src\math\ec\multiplier\AbstractECMultiplier.cs"
                     SubType = "Code"
                     BuildAction = "Compile"
diff --git a/crypto/src/asn1/sec/SECNamedCurves.cs b/crypto/src/asn1/sec/SECNamedCurves.cs
index b753ac5d1..7d755cc11 100644
--- a/crypto/src/asn1/sec/SECNamedCurves.cs
+++ b/crypto/src/asn1/sec/SECNamedCurves.cs
@@ -172,15 +172,16 @@ namespace Org.BouncyCastle.Asn1.Sec
                 GlvTypeBParameters glv = new GlvTypeBParameters(
                     new BigInteger("9ba48cba5ebcb9b6bd33b92830b2a2e0e192f10a", 16),
                     new BigInteger("c39c6c3b3a36d7701b9c71a1f5804ae5d0003f4", 16),
-                    new BigInteger[]{
-                        new BigInteger("9162fbe73984472a0a9e", 16),
-                        new BigInteger("-96341f1138933bc2f505", 16) },
-                    new BigInteger[]{
-                        new BigInteger("127971af8721782ecffa3", 16),
-                        new BigInteger("9162fbe73984472a0a9e", 16) },
-                    new BigInteger("9162fbe73984472a0a9d0590", 16),
-                    new BigInteger("96341f1138933bc2f503fd44", 16),
-                    176);
+                    new ScalarSplitParameters(
+                        new BigInteger[]{
+                            new BigInteger("9162fbe73984472a0a9e", 16),
+                            new BigInteger("-96341f1138933bc2f505", 16) },
+                        new BigInteger[]{
+                            new BigInteger("127971af8721782ecffa3", 16),
+                            new BigInteger("9162fbe73984472a0a9e", 16) },
+                        new BigInteger("9162fbe73984472a0a9d0590", 16),
+                        new BigInteger("96341f1138933bc2f503fd44", 16),
+                        176));
 
                 ECCurve curve = ConfigureCurveGlv(new FpCurve(p, a, b, n, h), glv);
                 X9ECPoint G = new X9ECPoint(curve, Hex.Decode("04"
@@ -272,15 +273,16 @@ namespace Org.BouncyCastle.Asn1.Sec
                 GlvTypeBParameters glv = new GlvTypeBParameters(
                     new BigInteger("bb85691939b869c1d087f601554b96b80cb4f55b35f433c2", 16),
                     new BigInteger("3d84f26c12238d7b4f3d516613c1759033b1a5800175d0b1", 16),
-                    new BigInteger[]{
-                        new BigInteger("71169be7330b3038edb025f1", 16),
-                        new BigInteger("-b3fb3400dec5c4adceb8655c", 16) },
-                    new BigInteger[]{
-                        new BigInteger("12511cfe811d0f4e6bc688b4d", 16),
-                        new BigInteger("71169be7330b3038edb025f1", 16) },
-                    new BigInteger("71169be7330b3038edb025f1d0f9", 16),
-                    new BigInteger("b3fb3400dec5c4adceb8655d4c94", 16),
-                    208);
+                    new ScalarSplitParameters(
+                        new BigInteger[]{
+                            new BigInteger("71169be7330b3038edb025f1", 16),
+                            new BigInteger("-b3fb3400dec5c4adceb8655c", 16) },
+                        new BigInteger[]{
+                            new BigInteger("12511cfe811d0f4e6bc688b4d", 16),
+                            new BigInteger("71169be7330b3038edb025f1", 16) },
+                        new BigInteger("71169be7330b3038edb025f1d0f9", 16),
+                        new BigInteger("b3fb3400dec5c4adceb8655d4c94", 16),
+                        208));
 
                 ECCurve curve = ConfigureCurveGlv(new FpCurve(p, a, b, n, h), glv);
                 X9ECPoint G = new X9ECPoint(curve, Hex.Decode("04"
@@ -343,15 +345,16 @@ namespace Org.BouncyCastle.Asn1.Sec
                 GlvTypeBParameters glv = new GlvTypeBParameters(
                     new BigInteger("fe0e87005b4e83761908c5131d552a850b3f58b749c37cf5b84d6768", 16),
                     new BigInteger("60dcd2104c4cbc0be6eeefc2bdd610739ec34e317f9b33046c9e4788", 16),
-                    new BigInteger[]{
-                        new BigInteger("6b8cf07d4ca75c88957d9d670591", 16),
-                        new BigInteger("-b8adf1378a6eb73409fa6c9c637d", 16) },
-                    new BigInteger[]{
-                        new BigInteger("1243ae1b4d71613bc9f780a03690e", 16),
-                        new BigInteger("6b8cf07d4ca75c88957d9d670591", 16) },
-                    new BigInteger("6b8cf07d4ca75c88957d9d67059037a4", 16),
-                    new BigInteger("b8adf1378a6eb73409fa6c9c637ba7f5", 16),
-                    240);
+                    new ScalarSplitParameters(
+                        new BigInteger[]{
+                            new BigInteger("6b8cf07d4ca75c88957d9d670591", 16),
+                            new BigInteger("-b8adf1378a6eb73409fa6c9c637d", 16) },
+                        new BigInteger[]{
+                            new BigInteger("1243ae1b4d71613bc9f780a03690e", 16),
+                            new BigInteger("6b8cf07d4ca75c88957d9d670591", 16) },
+                        new BigInteger("6b8cf07d4ca75c88957d9d67059037a4", 16),
+                        new BigInteger("b8adf1378a6eb73409fa6c9c637ba7f5", 16),
+                        240));
 
                 ECCurve curve = ConfigureCurveGlv(new FpCurve(p, a, b, n, h), glv);
                 X9ECPoint G = new X9ECPoint(curve, Hex.Decode("04"
@@ -414,15 +417,16 @@ namespace Org.BouncyCastle.Asn1.Sec
                 GlvTypeBParameters glv = new GlvTypeBParameters(
                     new BigInteger("7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee", 16),
                     new BigInteger("5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72", 16),
-                    new BigInteger[]{
-                        new BigInteger("3086d221a7d46bcde86c90e49284eb15", 16),
-                        new BigInteger("-e4437ed6010e88286f547fa90abfe4c3", 16) },
-                    new BigInteger[]{
-                        new BigInteger("114ca50f7a8e2f3f657c1108d9d44cfd8", 16),
-                        new BigInteger("3086d221a7d46bcde86c90e49284eb15", 16) },
-                    new BigInteger("3086d221a7d46bcde86c90e49284eb153dab", 16),
-                    new BigInteger("e4437ed6010e88286f547fa90abfe4c42212", 16),
-                    272);
+                    new ScalarSplitParameters(
+                        new BigInteger[]{
+                            new BigInteger("3086d221a7d46bcde86c90e49284eb15", 16),
+                            new BigInteger("-e4437ed6010e88286f547fa90abfe4c3", 16) },
+                        new BigInteger[]{
+                            new BigInteger("114ca50f7a8e2f3f657c1108d9d44cfd8", 16),
+                            new BigInteger("3086d221a7d46bcde86c90e49284eb15", 16) },
+                        new BigInteger("3086d221a7d46bcde86c90e49284eb153dab", 16),
+                        new BigInteger("e4437ed6010e88286f547fa90abfe4c42212", 16),
+                        272));
 
                 ECCurve curve = ConfigureCurveGlv(new FpCurve(p, a, b, n, h), glv);
                 X9ECPoint G = new X9ECPoint(curve, Hex.Decode("04"
diff --git a/crypto/src/crypto/ec/CustomNamedCurves.cs b/crypto/src/crypto/ec/CustomNamedCurves.cs
index 4b7600e09..1f6b361a2 100644
--- a/crypto/src/crypto/ec/CustomNamedCurves.cs
+++ b/crypto/src/crypto/ec/CustomNamedCurves.cs
@@ -107,15 +107,16 @@ namespace Org.BouncyCastle.Crypto.EC
                 GlvTypeBParameters glv = new GlvTypeBParameters(
                     new BigInteger("9ba48cba5ebcb9b6bd33b92830b2a2e0e192f10a", 16),
                     new BigInteger("c39c6c3b3a36d7701b9c71a1f5804ae5d0003f4", 16),
-                    new BigInteger[]{
-                        new BigInteger("9162fbe73984472a0a9e", 16),
-                        new BigInteger("-96341f1138933bc2f505", 16) },
-                    new BigInteger[]{
-                        new BigInteger("127971af8721782ecffa3", 16),
-                        new BigInteger("9162fbe73984472a0a9e", 16) },
-                    new BigInteger("9162fbe73984472a0a9d0590", 16),
-                    new BigInteger("96341f1138933bc2f503fd44", 16),
-                    176);
+                    new ScalarSplitParameters(
+                        new BigInteger[]{
+                            new BigInteger("9162fbe73984472a0a9e", 16),
+                            new BigInteger("-96341f1138933bc2f505", 16) },
+                        new BigInteger[]{
+                            new BigInteger("127971af8721782ecffa3", 16),
+                            new BigInteger("9162fbe73984472a0a9e", 16) },
+                        new BigInteger("9162fbe73984472a0a9d0590", 16),
+                        new BigInteger("96341f1138933bc2f503fd44", 16),
+                        176));
                 ECCurve curve = ConfigureCurveGlv(new SecP160K1Curve(), glv);
                 X9ECPoint G = new X9ECPoint(curve, Hex.Decode("04"
                     + "3B4C382CE37AA192A4019E763036F4F5DD4D7EBB"
@@ -182,15 +183,16 @@ namespace Org.BouncyCastle.Crypto.EC
                 GlvTypeBParameters glv = new GlvTypeBParameters(
                     new BigInteger("bb85691939b869c1d087f601554b96b80cb4f55b35f433c2", 16),
                     new BigInteger("3d84f26c12238d7b4f3d516613c1759033b1a5800175d0b1", 16),
-                    new BigInteger[]{
-                        new BigInteger("71169be7330b3038edb025f1", 16),
-                        new BigInteger("-b3fb3400dec5c4adceb8655c", 16) },
-                    new BigInteger[]{
-                        new BigInteger("12511cfe811d0f4e6bc688b4d", 16),
-                        new BigInteger("71169be7330b3038edb025f1", 16) },
-                    new BigInteger("71169be7330b3038edb025f1d0f9", 16),
-                    new BigInteger("b3fb3400dec5c4adceb8655d4c94", 16),
-                    208);
+                    new ScalarSplitParameters(
+                        new BigInteger[]{
+                            new BigInteger("71169be7330b3038edb025f1", 16),
+                            new BigInteger("-b3fb3400dec5c4adceb8655c", 16) },
+                        new BigInteger[]{
+                            new BigInteger("12511cfe811d0f4e6bc688b4d", 16),
+                            new BigInteger("71169be7330b3038edb025f1", 16) },
+                        new BigInteger("71169be7330b3038edb025f1d0f9", 16),
+                        new BigInteger("b3fb3400dec5c4adceb8655d4c94", 16),
+                        208));
                 ECCurve curve = ConfigureCurveGlv(new SecP192K1Curve(), glv);
                 X9ECPoint G = new X9ECPoint(curve, Hex.Decode("04"
                     + "DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D"
@@ -236,15 +238,16 @@ namespace Org.BouncyCastle.Crypto.EC
                 GlvTypeBParameters glv = new GlvTypeBParameters(
                     new BigInteger("fe0e87005b4e83761908c5131d552a850b3f58b749c37cf5b84d6768", 16),
                     new BigInteger("60dcd2104c4cbc0be6eeefc2bdd610739ec34e317f9b33046c9e4788", 16),
-                    new BigInteger[]{
-                        new BigInteger("6b8cf07d4ca75c88957d9d670591", 16),
-                        new BigInteger("-b8adf1378a6eb73409fa6c9c637d", 16) },
-                    new BigInteger[]{
-                        new BigInteger("1243ae1b4d71613bc9f780a03690e", 16),
-                        new BigInteger("6b8cf07d4ca75c88957d9d670591", 16) },
-                    new BigInteger("6b8cf07d4ca75c88957d9d67059037a4", 16),
-                    new BigInteger("b8adf1378a6eb73409fa6c9c637ba7f5", 16),
-                    240);
+                    new ScalarSplitParameters(
+                        new BigInteger[]{
+                            new BigInteger("6b8cf07d4ca75c88957d9d670591", 16),
+                            new BigInteger("-b8adf1378a6eb73409fa6c9c637d", 16) },
+                        new BigInteger[]{
+                            new BigInteger("1243ae1b4d71613bc9f780a03690e", 16),
+                            new BigInteger("6b8cf07d4ca75c88957d9d670591", 16) },
+                        new BigInteger("6b8cf07d4ca75c88957d9d67059037a4", 16),
+                        new BigInteger("b8adf1378a6eb73409fa6c9c637ba7f5", 16),
+                        240));
                 ECCurve curve = ConfigureCurveGlv(new SecP224K1Curve(), glv);
                 X9ECPoint G = new X9ECPoint(curve, Hex.Decode("04"
                     + "A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C"
@@ -290,15 +293,16 @@ namespace Org.BouncyCastle.Crypto.EC
                 GlvTypeBParameters glv = new GlvTypeBParameters(
                     new BigInteger("7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee", 16),
                     new BigInteger("5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72", 16),
-                    new BigInteger[]{
-                        new BigInteger("3086d221a7d46bcde86c90e49284eb15", 16),
-                        new BigInteger("-e4437ed6010e88286f547fa90abfe4c3", 16) },
-                    new BigInteger[]{
-                        new BigInteger("114ca50f7a8e2f3f657c1108d9d44cfd8", 16),
-                        new BigInteger("3086d221a7d46bcde86c90e49284eb15", 16) },
-                    new BigInteger("3086d221a7d46bcde86c90e49284eb153dab", 16),
-                    new BigInteger("e4437ed6010e88286f547fa90abfe4c42212", 16),
-                    272);
+                    new ScalarSplitParameters(
+                        new BigInteger[]{
+                            new BigInteger("3086d221a7d46bcde86c90e49284eb15", 16),
+                            new BigInteger("-e4437ed6010e88286f547fa90abfe4c3", 16) },
+                        new BigInteger[]{
+                            new BigInteger("114ca50f7a8e2f3f657c1108d9d44cfd8", 16),
+                            new BigInteger("3086d221a7d46bcde86c90e49284eb15", 16) },
+                        new BigInteger("3086d221a7d46bcde86c90e49284eb153dab", 16),
+                        new BigInteger("e4437ed6010e88286f547fa90abfe4c42212", 16),
+                        272));
                 ECCurve curve = ConfigureCurveGlv(new SecP256K1Curve(), glv);
                 X9ECPoint G = new X9ECPoint(curve, Hex.Decode("04"
                     + "79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798"
diff --git a/crypto/src/math/ec/ECPoint.cs b/crypto/src/math/ec/ECPoint.cs
index 425424e32..6a7c3ecf0 100644
--- a/crypto/src/math/ec/ECPoint.cs
+++ b/crypto/src/math/ec/ECPoint.cs
@@ -306,6 +306,13 @@ namespace Org.BouncyCastle.Math.EC
                 : Curve.CreateRawPoint(RawXCoord.Multiply(scale), RawYCoord, RawZCoords, IsCompressed);
         }
 
+        public virtual ECPoint ScaleXNegateY(ECFieldElement scale)
+        {
+            return IsInfinity
+                ? this
+                : Curve.CreateRawPoint(RawXCoord.Multiply(scale), RawYCoord.Negate(), RawZCoords, IsCompressed);
+        }
+
         public virtual ECPoint ScaleY(ECFieldElement scale)
         {
             return IsInfinity
@@ -313,6 +320,13 @@ namespace Org.BouncyCastle.Math.EC
                 : Curve.CreateRawPoint(RawXCoord, RawYCoord.Multiply(scale), RawZCoords, IsCompressed);
         }
 
+        public virtual ECPoint ScaleYNegateX(ECFieldElement scale)
+        {
+            return IsInfinity
+                ? this
+                : Curve.CreateRawPoint(RawXCoord.Negate(), RawYCoord.Multiply(scale), RawZCoords, IsCompressed);
+        }
+
         public override bool Equals(object obj)
         {
             return Equals(obj as ECPoint);
@@ -1500,6 +1514,11 @@ namespace Org.BouncyCastle.Math.EC
             }
         }
 
+        public override ECPoint ScaleXNegateY(ECFieldElement scale)
+        {
+            return ScaleX(scale);
+        }
+
         public override ECPoint ScaleY(ECFieldElement scale)
         {
             if (this.IsInfinity)
@@ -1524,6 +1543,11 @@ namespace Org.BouncyCastle.Math.EC
             }
         }
 
+        public override ECPoint ScaleYNegateX(ECFieldElement scale)
+        {
+            return ScaleY(scale);
+        }
+
         public override ECPoint Subtract(ECPoint b)
         {
             if (b.IsInfinity)
diff --git a/crypto/src/math/ec/ScaleXNegateYPointMap.cs b/crypto/src/math/ec/ScaleXNegateYPointMap.cs
new file mode 100644
index 000000000..b0466a633
--- /dev/null
+++ b/crypto/src/math/ec/ScaleXNegateYPointMap.cs
@@ -0,0 +1,20 @@
+using System;
+
+namespace Org.BouncyCastle.Math.EC
+{
+    public class ScaleXNegateYPointMap
+        : ECPointMap
+    {
+        protected readonly ECFieldElement scale;
+
+        public ScaleXNegateYPointMap(ECFieldElement scale)
+        {
+            this.scale = scale;
+        }
+
+        public virtual ECPoint Map(ECPoint p)
+        {
+            return p.ScaleXNegateY(scale);
+        }
+    }
+}
diff --git a/crypto/src/math/ec/ScaleYNegateXPointMap.cs b/crypto/src/math/ec/ScaleYNegateXPointMap.cs
new file mode 100644
index 000000000..6a7fed12e
--- /dev/null
+++ b/crypto/src/math/ec/ScaleYNegateXPointMap.cs
@@ -0,0 +1,20 @@
+using System;
+
+namespace Org.BouncyCastle.Math.EC
+{
+    public class ScaleYNegateXPointMap
+        : ECPointMap
+    {
+        protected readonly ECFieldElement scale;
+
+        public ScaleYNegateXPointMap(ECFieldElement scale)
+        {
+            this.scale = scale;
+        }
+
+        public virtual ECPoint Map(ECPoint p)
+        {
+            return p.ScaleYNegateX(scale);
+        }
+    }
+}
diff --git a/crypto/src/math/ec/endo/EndoUtilities.cs b/crypto/src/math/ec/endo/EndoUtilities.cs
new file mode 100644
index 000000000..16916e632
--- /dev/null
+++ b/crypto/src/math/ec/endo/EndoUtilities.cs
@@ -0,0 +1,34 @@
+using System;
+
+using Org.BouncyCastle.Math;
+
+namespace Org.BouncyCastle.Math.EC.Endo
+{
+    public abstract class EndoUtilities
+    {
+        public static BigInteger[] DecomposeScalar(ScalarSplitParameters p, BigInteger k)
+        {
+            int bits = p.Bits;
+            BigInteger b1 = CalculateB(k, p.G1, bits);
+            BigInteger b2 = CalculateB(k, p.G2, bits);
+
+            BigInteger a = k.Subtract((b1.Multiply(p.V1A)).Add(b2.Multiply(p.V2A)));
+            BigInteger b = (b1.Multiply(p.V1B)).Add(b2.Multiply(p.V2B)).Negate();
+
+            return new BigInteger[]{ a, b };
+        }
+
+        private static BigInteger CalculateB(BigInteger k, BigInteger g, int t)
+        {
+            bool negative = (g.SignValue < 0);
+            BigInteger b = k.Multiply(g.Abs());
+            bool extra = b.TestBit(t - 1);
+            b = b.ShiftRight(t);
+            if (extra)
+            {
+                b = b.Add(BigInteger.One);
+            }
+            return negative ? b.Negate() : b;
+        }
+    }
+}
diff --git a/crypto/src/math/ec/endo/GlvTypeAEndomorphism.cs b/crypto/src/math/ec/endo/GlvTypeAEndomorphism.cs
new file mode 100644
index 000000000..fda8f154c
--- /dev/null
+++ b/crypto/src/math/ec/endo/GlvTypeAEndomorphism.cs
@@ -0,0 +1,38 @@
+using System;
+
+namespace Org.BouncyCastle.Math.EC.Endo
+{
+    public class GlvTypeAEndomorphism
+        :   GlvEndomorphism
+    {
+        protected readonly GlvTypeAParameters m_parameters;
+        protected readonly ECPointMap m_pointMap;
+
+        public GlvTypeAEndomorphism(ECCurve curve, GlvTypeAParameters parameters)
+        {
+            /*
+             * NOTE: 'curve' MUST only be used to create a suitable ECFieldElement. Due to the way
+             * ECCurve configuration works, 'curve' will not be the actual instance of ECCurve that the
+             * endomorphism is being used with.
+             */
+
+            this.m_parameters = parameters;
+            this.m_pointMap = new ScaleYNegateXPointMap(curve.FromBigInteger(parameters.I));
+        }
+
+        public virtual BigInteger[] DecomposeScalar(BigInteger k)
+        {
+            return EndoUtilities.DecomposeScalar(m_parameters.SplitParams, k);
+        }
+
+        public virtual ECPointMap PointMap
+        {
+            get { return m_pointMap; }
+        }
+
+        public virtual bool HasEfficientPointMap
+        {
+            get { return true; }
+        }
+    }
+}
diff --git a/crypto/src/math/ec/endo/GlvTypeAParameters.cs b/crypto/src/math/ec/endo/GlvTypeAParameters.cs
new file mode 100644
index 000000000..68464c530
--- /dev/null
+++ b/crypto/src/math/ec/endo/GlvTypeAParameters.cs
@@ -0,0 +1,32 @@
+using System;
+
+namespace Org.BouncyCastle.Math.EC.Endo
+{
+    public class GlvTypeAParameters
+    {
+        protected readonly BigInteger m_i, m_lambda;
+        protected readonly ScalarSplitParameters m_splitParams;
+
+        public GlvTypeAParameters(BigInteger i, BigInteger lambda, ScalarSplitParameters splitParams)
+        {
+            this.m_i = i;
+            this.m_lambda = lambda;
+            this.m_splitParams = splitParams;
+        }
+
+        public virtual BigInteger I
+        {
+            get { return m_i; }
+        }
+
+        public virtual BigInteger Lambda
+        {
+            get { return m_lambda; }
+        }
+
+        public virtual ScalarSplitParameters SplitParams
+        {
+            get { return m_splitParams; }
+        }
+    }
+}
diff --git a/crypto/src/math/ec/endo/GlvTypeBEndomorphism.cs b/crypto/src/math/ec/endo/GlvTypeBEndomorphism.cs
index d234d88bf..e4f12fed9 100644
--- a/crypto/src/math/ec/endo/GlvTypeBEndomorphism.cs
+++ b/crypto/src/math/ec/endo/GlvTypeBEndomorphism.cs
@@ -5,28 +5,24 @@ namespace Org.BouncyCastle.Math.EC.Endo
     public class GlvTypeBEndomorphism
         :   GlvEndomorphism
     {
-        protected readonly ECCurve m_curve;
         protected readonly GlvTypeBParameters m_parameters;
         protected readonly ECPointMap m_pointMap;
 
         public GlvTypeBEndomorphism(ECCurve curve, GlvTypeBParameters parameters)
         {
-            this.m_curve = curve;
+            /*
+             * NOTE: 'curve' MUST only be used to create a suitable ECFieldElement. Due to the way
+             * ECCurve configuration works, 'curve' will not be the actual instance of ECCurve that the
+             * endomorphism is being used with.
+             */
+
             this.m_parameters = parameters;
             this.m_pointMap = new ScaleXPointMap(curve.FromBigInteger(parameters.Beta));
         }
 
         public virtual BigInteger[] DecomposeScalar(BigInteger k)
         {
-            int bits = m_parameters.Bits;
-            BigInteger b1 = CalculateB(k, m_parameters.G1, bits);
-            BigInteger b2 = CalculateB(k, m_parameters.G2, bits);
-
-            BigInteger[] v1 = m_parameters.V1, v2 = m_parameters.V2;
-            BigInteger a = k.Subtract((b1.Multiply(v1[0])).Add(b2.Multiply(v2[0])));
-            BigInteger b = (b1.Multiply(v1[1])).Add(b2.Multiply(v2[1])).Negate();
-
-            return new BigInteger[]{ a, b };
+            return EndoUtilities.DecomposeScalar(m_parameters.SplitParams, k);
         }
 
         public virtual ECPointMap PointMap
@@ -38,18 +34,5 @@ namespace Org.BouncyCastle.Math.EC.Endo
         {
             get { return true; }
         }
-
-        protected virtual BigInteger CalculateB(BigInteger k, BigInteger g, int t)
-        {
-            bool negative = (g.SignValue < 0);
-            BigInteger b = k.Multiply(g.Abs());
-            bool extra = b.TestBit(t - 1);
-            b = b.ShiftRight(t);
-            if (extra)
-            {
-                b = b.Add(BigInteger.One);
-            }
-            return negative ? b.Negate() : b;
-        }
     }
 }
diff --git a/crypto/src/math/ec/endo/GlvTypeBParameters.cs b/crypto/src/math/ec/endo/GlvTypeBParameters.cs
index f93dfaf2b..5e2937be8 100644
--- a/crypto/src/math/ec/endo/GlvTypeBParameters.cs
+++ b/crypto/src/math/ec/endo/GlvTypeBParameters.cs
@@ -4,22 +4,23 @@ namespace Org.BouncyCastle.Math.EC.Endo
 {
     public class GlvTypeBParameters
     {
-        protected readonly BigInteger m_beta;
-        protected readonly BigInteger m_lambda;
-        protected readonly BigInteger[] m_v1, m_v2;
-        protected readonly BigInteger m_g1, m_g2;
-        protected readonly int m_bits;
+        protected readonly BigInteger m_beta, m_lambda;
+        protected readonly ScalarSplitParameters m_splitParams;
 
+        [Obsolete("Use constructor taking a ScalarSplitParameters instead")]
         public GlvTypeBParameters(BigInteger beta, BigInteger lambda, BigInteger[] v1, BigInteger[] v2,
             BigInteger g1, BigInteger g2, int bits)
         {
             this.m_beta = beta;
             this.m_lambda = lambda;
-            this.m_v1 = v1;
-            this.m_v2 = v2;
-            this.m_g1 = g1;
-            this.m_g2 = g2;
-            this.m_bits = bits;
+            this.m_splitParams = new ScalarSplitParameters(v1, v2, g1, g2, bits);
+        }
+
+        public GlvTypeBParameters(BigInteger beta, BigInteger lambda, ScalarSplitParameters splitParams)
+        {
+            this.m_beta = beta;
+            this.m_lambda = lambda;
+            this.m_splitParams = splitParams;
         }
 
         public virtual BigInteger Beta
@@ -32,29 +33,39 @@ namespace Org.BouncyCastle.Math.EC.Endo
             get { return m_lambda; }
         }
 
+        public virtual ScalarSplitParameters SplitParams
+        {
+            get { return m_splitParams; }
+        }
+
+        [Obsolete("Access via SplitParams instead")]
         public virtual BigInteger[] V1
         {
-            get { return m_v1; }
+            get { return new BigInteger[] { m_splitParams.V1A, m_splitParams.V1B }; }
         }
 
+        [Obsolete("Access via SplitParams instead")]
         public virtual BigInteger[] V2
         {
-            get { return m_v2; }
+            get { return new BigInteger[] { m_splitParams.V2A, m_splitParams.V2B }; }
         }
 
+        [Obsolete("Access via SplitParams instead")]
         public virtual BigInteger G1
         {
-            get { return m_g1; }
+            get { return m_splitParams.G1; }
         }
 
+        [Obsolete("Access via SplitParams instead")]
         public virtual BigInteger G2
         {
-            get { return m_g2; }
+            get { return m_splitParams.G2; }
         }
 
+        [Obsolete("Access via SplitParams instead")]
         public virtual int Bits
         {
-            get { return m_bits; }
+            get { return m_splitParams.Bits; }
         }
     }
 }
diff --git a/crypto/src/math/ec/endo/ScalarSplitParameters.cs b/crypto/src/math/ec/endo/ScalarSplitParameters.cs
new file mode 100644
index 000000000..18d0bdb9e
--- /dev/null
+++ b/crypto/src/math/ec/endo/ScalarSplitParameters.cs
@@ -0,0 +1,69 @@
+using System;
+
+using Org.BouncyCastle.Math;
+
+namespace Org.BouncyCastle.Math.EC.Endo
+{
+    public class ScalarSplitParameters
+    {
+        private static void CheckVector(BigInteger[] v, string name)
+        {
+            if (v == null || v.Length != 2 || v[0] == null || v[1] == null)
+                throw new ArgumentException("Must consist of exactly 2 (non-null) values", name);
+        }
+
+        protected readonly BigInteger m_v1A, m_v1B, m_v2A, m_v2B;
+        protected readonly BigInteger m_g1, m_g2;
+        protected readonly int m_bits;
+
+        public ScalarSplitParameters(BigInteger[] v1, BigInteger[] v2, BigInteger g1,
+            BigInteger g2, int bits)
+        {
+            CheckVector(v1, "v1");
+            CheckVector(v2, "v2");
+
+            this.m_v1A = v1[0];
+            this.m_v1B = v1[1];
+            this.m_v2A = v2[0];
+            this.m_v2B = v2[1];
+            this.m_g1 = g1;
+            this.m_g2 = g2;
+            this.m_bits = bits;
+        }
+
+        public virtual BigInteger V1A
+        {
+            get { return m_v1A; }
+        }
+
+        public virtual BigInteger V1B
+        {
+            get { return m_v1B; }
+        }
+
+        public virtual BigInteger V2A
+        {
+            get { return m_v2A; }
+        }
+
+        public virtual BigInteger V2B
+        {
+            get { return m_v2B; }
+        }
+
+        public virtual BigInteger G1
+        {
+            get { return m_g1; }
+        }
+
+        public virtual BigInteger G2
+        {
+            get { return m_g2; }
+        }
+
+        public virtual int Bits
+        {
+            get { return m_bits; }
+        }
+    }
+}