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sharp-crypto
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Initial Commit

master
Harald Wolff 2017-10-17 21:53:04 +02:00
commit 7f47ca2eed
5 changed files with 353 additions and 0 deletions
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40
.gitignore vendored 100644
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# Autosave files
*~
# build
[Oo]bj/
[Bb]in/
packages/
TestResults/
# globs
Makefile.in
*.DS_Store
*.sln.cache
*.suo
*.cache
*.pidb
*.userprefs
*.usertasks
config.log
config.make
config.status
aclocal.m4
install-sh
autom4te.cache/
*.user
*.tar.gz
tarballs/
test-results/
Thumbs.db
# Mac bundle stuff
*.dmg
*.app
# resharper
*_Resharper.*
*.Resharper
# dotCover
*.dotCover

52
Crypto.csproj 100644
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<?xml version="1.0" encoding="utf-8"?>
<Project DefaultTargets="Build" ToolsVersion="4.0" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
<PropertyGroup>
<Configuration Condition=" '$(Configuration)' == '' ">Debug</Configuration>
<Platform Condition=" '$(Platform)' == '' ">AnyCPU</Platform>
<ProjectGuid>{15D8398F-01EB-4280-8E2E-B03417DD3215}</ProjectGuid>
<OutputType>Library</OutputType>
<RootNamespace>Crypto</RootNamespace>
<AssemblyName>Crypto</AssemblyName>
<TargetFrameworkVersion>v4.5</TargetFrameworkVersion>
</PropertyGroup>
<PropertyGroup Condition=" '$(Configuration)|$(Platform)' == 'Debug|AnyCPU' ">
<DebugSymbols>true</DebugSymbols>
<DebugType>full</DebugType>
<Optimize>false</Optimize>
<OutputPath>bin\Debug</OutputPath>
<DefineConstants>DEBUG;</DefineConstants>
<ErrorReport>prompt</ErrorReport>
<WarningLevel>4</WarningLevel>
<ConsolePause>false</ConsolePause>
</PropertyGroup>
<PropertyGroup Condition=" '$(Configuration)|$(Platform)' == 'Release|AnyCPU' ">
<Optimize>true</Optimize>
<OutputPath>bin\Release</OutputPath>
<ErrorReport>prompt</ErrorReport>
<WarningLevel>4</WarningLevel>
<ConsolePause>false</ConsolePause>
</PropertyGroup>
<ItemGroup>
<Reference Include="System" />
<Reference Include="System.Numerics" />
</ItemGroup>
<ItemGroup>
<Compile Include="Properties\AssemblyInfo.cs" />
<Compile Include="EC\EllipticCurve.cs" />
<Compile Include="EC\CurvePoint.cs" />
</ItemGroup>
<ItemGroup>
<Folder Include="EC\" />
</ItemGroup>
<ItemGroup>
<ProjectReference Include="..\sharp-extensions\sharp.extensions.csproj">
<Project>{97CA3CA9-98B3-4492-B072-D7A5995B68E9}</Project>
<Name>sharp.extensions</Name>
</ProjectReference>
<ProjectReference Include="..\BigInteger\BigInt.csproj">
<Project>{E745E261-9E3E-4401-B3BA-78B38753A82E}</Project>
<Name>BigInt</Name>
</ProjectReference>
</ItemGroup>
<Import Project="$(MSBuildBinPath)\Microsoft.CSharp.targets" />
</Project>

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EC/CurvePoint.cs 100644
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using System;
using BigInt;
using System.Text;
using System.Runtime.CompilerServices;
namespace Crypto.EC
{
public class CurvePoint
{
public CurvePoint(EllipticCurve curve,UInteger x,UInteger y){
Curve = curve;
X = x;
Y = y;
}
public string toHexString(){
StringBuilder sb = new StringBuilder();
sb.Append(X.toHexString());
sb.Append(".");
sb.Append(Y.toHexString());
return sb.ToString();
}
public EllipticCurve Curve { get; private set; }
public UInteger X { get; private set; }
public UInteger Y { get; private set; }
public bool isOnCurve(){
return this.Curve.isOnCurve(this);
}
public static CurvePoint operator +(CurvePoint p1, CurvePoint p2)
{
return p1.Curve.Add(p1,p2);
}
public static CurvePoint operator *(CurvePoint p1, UInteger n)
{
if (p1.Y == UInteger.ZERO){
throw new NotImplementedException("Eternity point not implemented");
}
CurvePoint result = null;
CurvePoint p = p1;
int i;
for (i = 0; i < 256; i++)
{
if (n[i]){
result = p;
break;
}
p += p;
}
for (; i < 256; i++)
{
p += p;
if (n[i]){
result += p;
}
}
return result;
}
public static bool operator ==(CurvePoint p1, CurvePoint p2)
{
if (((object)p1 == null)||((object)p2==null)){
return false;
}
return (p1.X == p2.X) && (p1.Y == p2.Y);
}
public static bool operator !=(CurvePoint p1, CurvePoint p2)
{
return (p1.X != p2.X) || (p1.Y != p2.Y);
}
public override bool Equals(object obj)
{
if (this.GetType().IsInstanceOfType(obj)){
return (this == (CurvePoint)obj);
} else {
return false;
}
}
}
}

146
EC/EllipticCurve.cs 100644
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using System;
using BigInt;
using System.Text;
using sharp.extensions;
namespace Crypto.EC
{
public class EllipticCurve
{
public UInteger a { get; private set; }
public UInteger b { get; private set; }
public UInteger n { get; private set; }
public int h { get; private set; }
public CurvePoint G { get; private set; }
public IntField Fp { get; private set; }
public EllipticCurve(UInteger p,UInteger a,UInteger b,UInteger xG,UInteger yG,UInteger n,int h)
{
this.Fp = new IntField(p);
this.a = a;
this.b = b;
this.n = n;
this.h = h;
this.G = new CurvePoint(this, xG, yG);
if (!isOnCurve(this.G)){
throw new ArgumentException("G is not part of the curve");
}
}
public UInteger Y2(UInteger x){
UInteger yy = x;
Console.WriteLine("Y(x): X = {0}",x.toHexString());
Console.WriteLine("Y(x): x^2 = {0}",yy.Pow(2).toHexString());
yy = yy.Pow(3);
Console.WriteLine("Y(x): x^3 = {0}",yy.toHexString());
yy += (a * x);
Console.WriteLine("Y(x): x^3 + ax = {0}",yy.toHexString());
yy += b;
Console.WriteLine("Y(x) x^3 + ax + b = {0}",yy.toHexString());
yy %= this.Fp.FieldModulo;
Console.WriteLine("Y(x) mod p = {0}",yy.toHexString());
return yy;
}
public bool isOnCurve(CurvePoint p){
UInteger py2 = p.Y.Pow(2);
UInteger pcy2 = Y2(p.X);
Console.WriteLine("CHECK A: {0}",py2.toHexString());
Console.WriteLine("CHECK B: {0}",pcy2.toHexString());
return (py2 == pcy2);
}
public CurvePoint Add(CurvePoint p1, CurvePoint p2)
{
if (((object)p1 == null) || ((object)p2 == null))
{
throw new ArgumentException("CurvePoints to be added must not be null");
}
if (p1.Curve != p2.Curve)
{
throw new ArgumentException("Curvepoints to be added must belong to the same curve!");
}
if (p1 == p2)
{
UInteger s = p1.X.Pow(2);
s *= 3;
s += p1.Curve.a;
s /= (p1.Y << 1);
//(((p1.X.Pow(2) * 3) + p1.Curve.a) / (p1.Y << 1));
UInteger xR = (s.Pow(2) - (p1.X << 1));
UInteger yR = ((s * (p1.X - xR)) - p1.Y);
return new CurvePoint(p1.Curve, xR, yR);
}
if (p1.X == p2.X)
{
throw new NotImplementedException("Eternity point not implemented");
}
else
{
UInteger s = (((p1.Y - p2.Y) / (p1.X - p2.X)));
UInteger xR = (s.Pow(2) - p1.X - p2.X);
UInteger yR = ((s * (p1.X - xR)) - p1.Y);
return new CurvePoint(p1.Curve, xR, yR);
}
throw new NotImplementedException("Point addition not yet implemented");
}
/* public CurvePoint getPoint(T x){
x = new T(x, this.Fp);
return new CurvePoint(this,x,Y(x));
}
*/
public override string ToString()
{
StringBuilder sb = new StringBuilder();
sb.AppendFormat("[EllipticCurve] Fp={0}\n",(Fp == null) ? "" : Fp.ToString());
sb.AppendFormat("[EllipticCurve] a={0}\n",a.toHexString());
sb.AppendFormat("[EllipticCurve] b={0}\n",b.toHexString());
sb.AppendFormat("[EllipticCurve] Gx={0}\n",G.X.toHexString());
sb.AppendFormat("[EllipticCurve] Gy={0}\n",G.Y.toHexString());
sb.AppendFormat("[EllipticCurve] G on curve? {0}",isOnCurve(G));
return sb.ToString();
}
public static EllipticCurve createSecp256k1(){
UInteger p = (UInteger.ONE << 256);
p -= UInteger.ONE;
p -= (UInteger.ONE << 32);
p -= (UInteger.ONE << 9);
p -= (UInteger.ONE << 8);
p -= (UInteger.ONE << 7);
p -= (UInteger.ONE << 6);
p -= (UInteger.ONE << 4);
UInteger xG = UInteger.fromHexString("79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798");
UInteger yG = UInteger.fromHexString("483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8");
UInteger n = UInteger.fromHexString("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141");
return new EllipticCurve(p, new UInteger(0), new UInteger(7), xG, yG, n, 1);
}
}
}

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Properties/AssemblyInfo.cs 100644
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using System.Reflection;
using System.Runtime.CompilerServices;
// Information about this assembly is defined by the following attributes.
// Change them to the values specific to your project.
[assembly: AssemblyTitle("Crypto")]
[assembly: AssemblyDescription("")]
[assembly: AssemblyConfiguration("")]
[assembly: AssemblyCompany("")]
[assembly: AssemblyProduct("")]
[assembly: AssemblyCopyright("")]
[assembly: AssemblyTrademark("")]
[assembly: AssemblyCulture("")]
// The assembly version has the format "{Major}.{Minor}.{Build}.{Revision}".
// The form "{Major}.{Minor}.*" will automatically update the build and revision,
// and "{Major}.{Minor}.{Build}.*" will update just the revision.
[assembly: AssemblyVersion("1.0.*")]
// The following attributes are used to specify the signing key for the assembly,
// if desired. See the Mono documentation for more information about signing.
//[assembly: AssemblyDelaySign(false)]
//[assembly: AssemblyKeyFile("")]