How can we generate 3 or more binary Sources using BSC channel.
As we know, BSC can be easily used to generate 2 binary sources with some cross-over-probability(say p). Eg, length of codeword(say n)
n = 1000; p = 0.2, then input and output binary codeword will be having Hamming distance of approx 200. In this way we generate 2 Binary sources with 200 Hamming distance from each other.
My question is: How can we generate multiple Binary with same cross-over-probability or multiple binary sources with approx similar Hamming distance from each other. E.g: X, Y , Z, W. and they should have similar Hamming distance from each other(all combinations(X-Y)(X-Z) and so on).
And, there should be some way to calculate the joint entropy for them. I am trying to make some scheme to do that, if u have some ideas .. just discuss it. please let me know for any questions.. I will surely clear them