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// MIT License | ||
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open System | ||
open System.IO | ||
open System.Text | ||
open UA.Cryptography | ||
open FSharp.Data | ||
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let split (ss:#seq<obj>) (s:string) = | ||
s.Split(ss |> Seq.map string |> Seq.toArray, StringSplitOptions.None) | ||
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let eval args = | ||
match split [|"-vars"; "-in"; "-out"|] (args |> String.concat " ") with | ||
| _ -> () | ||
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let ret (_:unit) = 0 | ||
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[<EntryPoint>] | ||
let main args = args |> eval |> ret |
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<Project Sdk="Microsoft.NET.Sdk"> | ||
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<PropertyGroup> | ||
<TargetFramework>netcoreapp3.1</TargetFramework> | ||
<GeneratePackageOnBuild>true</GeneratePackageOnBuild> | ||
<VersionPrefix>1.0.0</VersionPrefix> | ||
</PropertyGroup> | ||
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<ItemGroup> | ||
<PackageReference Include="FSharp.Core" Version="4.7.0" /> | ||
</ItemGroup> | ||
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</Project> |
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<?xml version="1.0"?> | ||
<configuration> | ||
<startup> | ||
<supportedRuntime version="v4.0" sku=".NETFramework,Version=v4.6.2"/> | ||
</startup> | ||
</configuration> |
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<Project Sdk="Microsoft.NET.Sdk"> | ||
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<PropertyGroup> | ||
<OutputType>Exe</OutputType> | ||
<TargetFramework>netcoreapp3.1</TargetFramework> | ||
<UseAppHost>true</UseAppHost> | ||
</PropertyGroup> | ||
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<ItemGroup> | ||
<ProjectReference Include="UA.Cryptography.csproj"/> | ||
<PackageReference Include="UA.Cryptography" Version="1.0.0" /> | ||
<PackageReference Include="FSharp.Core" Version="4.7.0" /> | ||
<PackageReference Include="FSharp.Data" Version="3.3.3" /> | ||
<Compile Include="*.fs" /> | ||
</ItemGroup> | ||
|
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</Project> |
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Microsoft Visual Studio Solution File, Format Version 12.00 | ||
# Visual Studio 15 | ||
VisualStudioVersion = 15.0.26124.0 | ||
MinimumVisualStudioVersion = 15.0.26124.0 | ||
Project("{F2A71F9B-5D33-465A-A702-920D77279786}") = "dstu", "dstu.fsproj", "{5FC36F19-7275-4F14-B330-21F277A5248E}" | ||
EndProject | ||
Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "UA.Cryptography", "UA.Cryptography.csproj", "{E59E5DC7-F761-42BF-AF17-CCC21406C8E3}" | ||
EndProject | ||
Global | ||
GlobalSection(SolutionConfigurationPlatforms) = preSolution | ||
Debug|Any CPU = Debug|Any CPU | ||
Debug|x64 = Debug|x64 | ||
Debug|x86 = Debug|x86 | ||
Release|Any CPU = Release|Any CPU | ||
Release|x64 = Release|x64 | ||
Release|x86 = Release|x86 | ||
EndGlobalSection | ||
GlobalSection(SolutionProperties) = preSolution | ||
HideSolutionNode = FALSE | ||
EndGlobalSection | ||
GlobalSection(ProjectConfigurationPlatforms) = postSolution | ||
{5FC36F19-7275-4F14-B330-21F277A5248E}.Debug|Any CPU.ActiveCfg = Debug|Any CPU | ||
{5FC36F19-7275-4F14-B330-21F277A5248E}.Debug|Any CPU.Build.0 = Debug|Any CPU | ||
{5FC36F19-7275-4F14-B330-21F277A5248E}.Debug|x64.ActiveCfg = Debug|Any CPU | ||
{5FC36F19-7275-4F14-B330-21F277A5248E}.Debug|x64.Build.0 = Debug|Any CPU | ||
{5FC36F19-7275-4F14-B330-21F277A5248E}.Debug|x86.ActiveCfg = Debug|Any CPU | ||
{5FC36F19-7275-4F14-B330-21F277A5248E}.Debug|x86.Build.0 = Debug|Any CPU | ||
{5FC36F19-7275-4F14-B330-21F277A5248E}.Release|Any CPU.ActiveCfg = Release|Any CPU | ||
{5FC36F19-7275-4F14-B330-21F277A5248E}.Release|Any CPU.Build.0 = Release|Any CPU | ||
{5FC36F19-7275-4F14-B330-21F277A5248E}.Release|x64.ActiveCfg = Release|Any CPU | ||
{5FC36F19-7275-4F14-B330-21F277A5248E}.Release|x64.Build.0 = Release|Any CPU | ||
{5FC36F19-7275-4F14-B330-21F277A5248E}.Release|x86.ActiveCfg = Release|Any CPU | ||
{5FC36F19-7275-4F14-B330-21F277A5248E}.Release|x86.Build.0 = Release|Any CPU | ||
{E59E5DC7-F761-42BF-AF17-CCC21406C8E3}.Debug|Any CPU.ActiveCfg = Debug|Any CPU | ||
{E59E5DC7-F761-42BF-AF17-CCC21406C8E3}.Debug|Any CPU.Build.0 = Debug|Any CPU | ||
{E59E5DC7-F761-42BF-AF17-CCC21406C8E3}.Debug|x64.ActiveCfg = Debug|Any CPU | ||
{E59E5DC7-F761-42BF-AF17-CCC21406C8E3}.Debug|x64.Build.0 = Debug|Any CPU | ||
{E59E5DC7-F761-42BF-AF17-CCC21406C8E3}.Debug|x86.ActiveCfg = Debug|Any CPU | ||
{E59E5DC7-F761-42BF-AF17-CCC21406C8E3}.Debug|x86.Build.0 = Debug|Any CPU | ||
{E59E5DC7-F761-42BF-AF17-CCC21406C8E3}.Release|Any CPU.ActiveCfg = Release|Any CPU | ||
{E59E5DC7-F761-42BF-AF17-CCC21406C8E3}.Release|Any CPU.Build.0 = Release|Any CPU | ||
{E59E5DC7-F761-42BF-AF17-CCC21406C8E3}.Release|x64.ActiveCfg = Release|Any CPU | ||
{E59E5DC7-F761-42BF-AF17-CCC21406C8E3}.Release|x64.Build.0 = Release|Any CPU | ||
{E59E5DC7-F761-42BF-AF17-CCC21406C8E3}.Release|x86.ActiveCfg = Release|Any CPU | ||
{E59E5DC7-F761-42BF-AF17-CCC21406C8E3}.Release|x86.Build.0 = Release|Any CPU | ||
EndGlobalSection | ||
EndGlobal |
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Copyright (c) 2000—2022 The Legion of the Bouncy Castle Inc. (http://www.bouncycastle.org) | ||
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Permission is hereby granted, free of charge, to any person | ||
obtaining a copy of this software and associated documentation | ||
files (the "Software"), to deal in the Software without restriction, | ||
including without limitation the rights to use, copy, modify, | ||
merge, publish, distribute, sublicense, and/or sell copies of | ||
the Software, and to permit persons to whom the Software is | ||
furnished to do so, subject to the following conditions: | ||
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The above copyright notice and this permission notice shall | ||
be included in all copies or substantial portions of the Software. | ||
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THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, | ||
EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES | ||
OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. | ||
IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY | ||
CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, | ||
TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE | ||
SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. |
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using UA.Cryptography; | ||
using UA.Cryptography.EC; | ||
using UA.Cryptography.Internal; | ||
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namespace UA.Cryptography | ||
{ | ||
public class Key | ||
{ | ||
public F2mCurve Curve { get; private set; } | ||
public F2mPoint BasePoint { get; private set; } | ||
public F2mPoint PublicKey { get; private set; } | ||
public BigInteger PrivateKey { get; private set; } | ||
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public Key(F2mCurve curve, F2mPoint basePoint, F2mPoint publicKey, BigInteger priveteKey) | ||
{ | ||
PublicKey = publicKey; | ||
PrivateKey = priveteKey; | ||
BasePoint = basePoint; | ||
Curve = curve; | ||
} | ||
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public Key(F2mCurve curve, F2mPoint basePoint, F2mPoint publicKey) | ||
{ | ||
PublicKey = publicKey; | ||
BasePoint = basePoint; | ||
Curve = curve; | ||
} | ||
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public static Key Generate(F2mCurve curve) | ||
{ | ||
var basePoint = computeBasePoint(curve); | ||
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var privateKey = RNG.GetRandomInteger(curve.M); | ||
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var p1 = basePoint.Negate(); | ||
var publicKey = (F2mPoint)p1.Multiply(privateKey); | ||
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return new Key(curve, basePoint, publicKey, privateKey); | ||
} | ||
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static F2mPoint computeBasePoint(F2mCurve curve) | ||
{ | ||
while (true) | ||
{ | ||
var p = computeRandomPoint(curve); | ||
var n = curve.N; | ||
var r = p.Multiply(n); | ||
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if (r.X != null || r.Y != null) | ||
continue; | ||
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return p; | ||
} | ||
} | ||
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static F2mPoint computeRandomPoint(F2mCurve curve) | ||
{ | ||
BigInteger u = RNG.GetRandomInteger(curve.M); | ||
var u__element = new F2mFieldElement(curve.M, curve.K1, curve.K2, curve.K3, u); | ||
var a__element = new F2mFieldElement(curve.M, curve.K1, curve.K2, curve.K3, curve.A.ToBigInteger()); | ||
var b__element = new F2mFieldElement(curve.M, curve.K1, curve.K2, curve.K3, curve.B.ToBigInteger()); | ||
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var au__element = u__element.Multiply(u__element).Multiply(a__element); | ||
var w__element = u__element.Multiply(u__element).Multiply(u__element).Add(au__element).Add(b__element); | ||
var z__element = quadraticEquation(curve, u__element.ToBigInteger(), w__element.ToBigInteger()); | ||
var point = new F2mPoint(curve, u__element, z__element); | ||
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return point; | ||
} | ||
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static F2mFieldElement quadraticEquation(F2mCurve curve, BigInteger u, BigInteger w) | ||
{ | ||
var w__element = new F2mFieldElement(curve.M, curve.K1, curve.K2, curve.K3, w); | ||
var u__element = new F2mFieldElement(curve.M, curve.K1, curve.K2, curve.K3, u); | ||
var u2__element = u__element.Invert().Square(); | ||
var v = (F2mFieldElement)w__element.Multiply(u2__element); | ||
var tr__element = trace(v); | ||
var t__element = halfTrace(v); | ||
var z__element = (F2mFieldElement)t__element.Multiply(u__element); | ||
return z__element; | ||
} | ||
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static F2mFieldElement trace(F2mFieldElement x) | ||
{ | ||
F2mFieldElement t = x; | ||
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for (int i = 1; i < x.M; i++) | ||
{ | ||
t = (F2mFieldElement)t.Square().Add(x); | ||
} | ||
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return t; | ||
} | ||
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static F2mFieldElement halfTrace(F2mFieldElement x) | ||
{ | ||
F2mFieldElement t = x; | ||
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for (int i = 1; i <= ((x.M - 1) / 2); i++) | ||
{ | ||
t = (F2mFieldElement)t.Square().Square().Add(x); | ||
} | ||
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return t; | ||
} | ||
} | ||
} |
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using System; | ||
using UA.Cryptography; | ||
using UA.Cryptography.EC; | ||
using UA.Cryptography.Internal; | ||
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namespace UA.Cryptography | ||
{ | ||
public sealed class Signer | ||
{ | ||
private F2mFieldElement _fe; | ||
private BigInteger _e; | ||
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private Key _key; | ||
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public Signer(Key key) | ||
{ | ||
if (null == key) | ||
throw new ArgumentNullException("key"); | ||
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_key = key; | ||
} | ||
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public BigInteger[] SignHash(BigInteger h) | ||
{ | ||
if (null == _key.PrivateKey) | ||
throw new InvalidOperationException("null == _key.PrivateKey"); | ||
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computePreSignature(); | ||
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var h__element = new F2mFieldElement(_key.Curve.M, _key.Curve.K1, _key.Curve.K2, _key.Curve.K3, h); | ||
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var r = h__element.Multiply(_fe).ToBigInteger(); | ||
var s = _key.PrivateKey.Multiply(r).Add(_e).Mod(_key.Curve.N); | ||
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return new[] { s, r }; | ||
} | ||
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public bool verifySignature(BigInteger h, BigInteger s, BigInteger r) | ||
{ | ||
var sP = _key.BasePoint.Multiply(s); | ||
var rQ = _key.PublicKey.Multiply(r); | ||
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var r__ = sP.Add(rQ); | ||
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var h__element = new F2mFieldElement(_key.Curve.M, _key.Curve.K1, _key.Curve.K2, _key.Curve.K3, h); | ||
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var y2 = h__element.Multiply(r__.X); | ||
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if (y2.ToBigInteger().Equals(r)) | ||
return true; | ||
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return false; | ||
} | ||
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public void computePreSignature() | ||
{ | ||
while (true) | ||
{ | ||
var e = RNG.GetRandomInteger(_key.Curve.M); | ||
var r = _key.BasePoint.Multiply(e); | ||
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if (0 != r.X.ToBigInteger().SignValue) | ||
{ | ||
_fe = (F2mFieldElement)r.X; | ||
_e = e; | ||
break; | ||
} | ||
} | ||
} | ||
} | ||
} |
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