/// <summary>
/// 向量和矩阵相乘
/// </summary>
/// <param name="vector">向量</param>
/// <param name="matrix">矩阵</param>
/// <returns>乘积</returns>
public static char[] MultiplyMod26(char[] vector, MatrixIntGF26 matrix)
{
if (vector.Length != matrix.row)
{
throw new Exception("无法进行乘法运算，向量的维度和矩阵的行数不相等");
}
var result = new char[vector.Length];
double temp;
for (int i = 0; i < result.Length; i++)
{
temp = 0;
for (int j = 0; j < matrix.column; j++)
{
temp += vector[j] * matrix.elements[j, i];
}
result[i] = (char)Mod(SolveDouble(temp));
}
return(result);
}
/// <summary>
/// 两个矩阵相乘
/// </summary>
/// <param name="b"></param>
/// <returns></returns>
public MatrixIntGF26 MultifyMod(MatrixIntGF26 b)
{
if (this.column != b.row)
{
throw new Exception($"{this.row}行{this.column}列和{b.row}行{b.column}列的两个矩阵无法进行计算");
}
var result = new int[this.row, b.column];
for (int i = 0; i < this.row; i++)
{
for (int j = 0; j < b.column; j++)
{
double temp = 0;
for (int k = 0; k < this.column; k++)
{
temp += this.elements[i, k] * b.elements[k, j];
}
result[i, j] = Mod(SolveDouble(temp));
}
}
return(new MatrixIntGF26(result));
}