Walsh-spectral test for GFSR pseudorandom numbers
Communications of the ACM
Generalized Feedback Shift Register Pseudorandom Number Algorithm
Journal of the ACM (JACM)
The k-distribution of generalized feedback shift register pseudorandom numbers
Communications of the ACM
Communications of the ACM - Special issue on simulation
Efficient and portable combined Tausworthe random number generators
ACM Transactions on Modeling and Computer Simulation (TOMACS)
Fast generation of low discrepancy points based on Fibonacci polynomials
WSC '92 Proceedings of the 24th conference on Winter simulation
Lattice structure of pseudorandom sequences from shift-register generators
WSC' 90 Proceedings of the 22nd conference on Winter simulation
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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.