public void McElieseGenericFormTest(int n, int k, int d, int t, int fieldPower, MatrixInt message, MatrixInt errorVector, MatrixInt scrambler, int[] permutation, int[] mask)
{
var galoisField = new GaloisField(2, fieldPower);
var generator = new ParityCheckMatrixGeneratorEllyptic(2);
var linearCode = new LinearCode(n, k, d, t, galoisField);
while (true)
{
linearCode.ParityCheckMatrix = generator.Generate(linearCode);
if (Helper.Weight(linearCode.ParityCheckMatrix) < Math.Ceiling(linearCode.ParityCheckMatrix.RowCount * linearCode.ParityCheckMatrix.ColumnCount * 0.7))
{
continue;
}
try
{
linearCode.GeneratorMatrix = GeneratorMatrixCalculator.CalculateGeneratorMatrixAlt(linearCode);
}
catch (LinearCodeException ex)
{
Console.WriteLine(ex.Message);
continue;
}
if (Helper.Weight(MatrixAlgorithms.DotMultiplication(linearCode.GeneratorMatrix, linearCode.ParityCheckMatrix.Transpose(), galoisField)) == 0)
{
linearCode.GeneratorMatrix = linearCode.GeneratorMatrix;
break;
}
}
var crytptogram = McElieseGenericForm.Encrypt(linearCode, scrambler, permutation, mask, generator, message, errorVector);
var decryptedMessage = McElieseGenericForm.Decrypt(linearCode, permutation, mask, scrambler, generator, crytptogram);
Assert.True(message == decryptedMessage);
}
public McElieseEllyptic(int n, int k, int d, int t, GaloisField galoisField, MatrixInt scramblerMatrix = null, IList <int> permutation = null, IList <int> mask = null)
{
_generator = new ParityCheckMatrixGeneratorEllyptic(2);
LinearCode = new LinearCode(n, k, d, t, galoisField);
MatrixInt parityCheckMatrix = null;
MatrixInt generatorMatrix = null;
while (true)
{
parityCheckMatrix = _generator.Generate(LinearCode);
LinearCode.ParityCheckMatrix = parityCheckMatrix;
Debug.WriteLine(parityCheckMatrix);
var minValueFillPercentage = 0.7;
if (Helper.Weight(parityCheckMatrix) < Math.Ceiling(parityCheckMatrix.RowCount * parityCheckMatrix.ColumnCount * minValueFillPercentage))
{
continue;
}
try
{
generatorMatrix = GeneratorMatrixCalculator.CalculateGeneratorMatrixAlt(LinearCode);
Debug.WriteLine(generatorMatrix);
}
catch (LinearCodeException ex)
{
Debug.WriteLine(ex.Message);
continue;
}
if (IsGeneratorMatrixValid(parityCheckMatrix, generatorMatrix, galoisField))
{
LinearCode.GeneratorMatrix = generatorMatrix;
break;
}
}
if (scramblerMatrix is null)
{
scramblerMatrix = Helper.GenerateScramblerMatrix(LinearCode.K);
while (true)
{
try
{
MatrixAlgorithms.MatrixInverse(scramblerMatrix, galoisField);
break;
}
catch (SolveMatrixException)
{
Debug.WriteLine("Reattempting to generate scrambler matrix");
}
}
}
if (permutation is null)
{
permutation = Helper.GeneratePermutaionList(LinearCode.N);
}
if (mask is null)
{
mask = Helper.GenerateMask(LinearCode.N, LinearCode.GaloisField);
}
var inverseMask = new List <int>(LinearCode.N);
for (int i = 0; i < LinearCode.N; i++)
{
inverseMask.Add(LinearCode.GaloisField.GetMultiplicativeInverse(mask[i]));
}
PrivateKey = new PrivateKey
{
GeneratorMatrix = LinearCode.GeneratorMatrix,
ScramblerMatrix = scramblerMatrix,
InverseScramblerMatrix = MatrixAlgorithms.MatrixInverse(scramblerMatrix, galoisField),
Permutation = permutation,
InversePermutation = Helper.InversePermutation(permutation),
Mask = mask,
InverseMask = inverseMask
};
var encryptionMatrix = MatrixAlgorithms.DotMultiplication(PrivateKey.ScramblerMatrix, generatorMatrix, LinearCode.GaloisField);
Debug.WriteLine(encryptionMatrix);
encryptionMatrix = encryptionMatrix.PermuteColumns(PrivateKey.Permutation);
Debug.WriteLine(encryptionMatrix);
for (int col = 0; col < encryptionMatrix.ColumnCount; col++)
{
for (int row = 0; row < encryptionMatrix.RowCount; row++)
{
encryptionMatrix[row, col] = LinearCode.GaloisField.MultiplyWords(encryptionMatrix[row, col], PrivateKey.Mask[col]);
}
}
Debug.WriteLine(encryptionMatrix);
PublicKey = new PublicKey
{
EncryptionMatrix = encryptionMatrix,
};
}