This question is a kinda spin off from Why do we not combine random number generators?If for example we had N identical type random number generators, with N different seeds, what would the period be if their outputs were xored together?  Would it be period, N x period or period (power N)?So a numerical example would be:2 linear feedback shift registers of 10 bits.1 LFSR's period = 1023.2 xored LFSRs' period = 1023, 2046 or 1046529?(I have a sense that it's period but I can't overcome that fact that the state size is so much bigger.)
What is the period of N xored identical random number generators, with differing seeds?
pseudo random generators