1;3409;0c On the discrepancy of GFSR pseudorandom numbers

On the discrepancy of GFSR pseudorandom numbers

Journal of the ACM, vol. 34, no. 4, 1987
Pages: 939-949DOI: 10.1145/31846.31848

JACM

bibtex

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.