Maximum-length sequences, cellular automata, and random numbers
Journal of Computational Physics
Generalized Feedback Shift Register Pseudorandom Number Algorithm
Journal of the ACM (JACM)
ACM Computing Surveys (CSUR)
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A pseudo-random number generator, based on a linear-feedback shift-register sequence, is presented. The very long period of the generator, 21279 — 1, makes it useful in modern statistical simulations where the shorter period of other generators could either be exhausted during a single run or determine departures from uniform randomness when generating positions in a multidimensional space. In particular, the proposed generator overcomes the limitations of multiplicative-congruential generators with modulus 231 — 1, which are widely used on computers with a 32-bit integer word size, such as the IBM S/370 family of computers.