// A variation of/optimization over Hamming Code (39,32)
// For explenation on parity-check matrix construction see:
// https://www.ysu.am/files/11-1549527438-.pdf
public static ulong AddECC(uint word)
{
var code = 0ul;
for (byte i = 0; i < 7; ++i)
{
BitHelper.SetBit(ref code, i, BitHelper.CalculateParity(word & bitmask[i]));
}
return((ulong)word | (code << 32));
}