On the discrepancy of GFSR pseudorandom numbers

Abstract

A new summation formula based on the orthogonal property of Walsh functions is devised. Using this formula, the <italic>k</italic>-dimensional discrepancy of the generalized feedback shift register (GFSR) pseudorandom numbers is derived. The relation between the discrepancy and <italic>k</italic>-distribution of GFSR sequences is also obtained. Finally the… (More)
DOI: 10.1145/31846.31848

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