On the discrepancy of GFSR pseudorandom numbers
Shu Tezuka · Journal of the ACM · 1987
A new summation formula based on the orthogonal property of Walsh functions is devised. Using this formula, the k -dimensional discrepancy of the generalized feedback shift register (GFSR) pseudorandom numbers is derived. The relation between the discrepancy and k -distribution of GFSR sequences is also obtained. Finally the definition of optimal GPSR pseudorandom number generators is introduced.