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A vectorized long-period shift-register random number generator

Salvatore Filippone, P. Santangelo, Marcello Vitaletti

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Abstract

A pseudorandom number generator, based on a linear-feedback shift-register sequence, is presented. The very long period of the generator, 2/sup 1279/-1, makes it useful in modern statistical simulations. The proposed generator overcomes the limitations of multiplicative-congruential generators with modulus 2/sup 31/-1. The properties of linear-feedback shift-register sequences are reviewed, and a sequence of order p=1279 is proposed as a source of pseudorandom numbers. Results of the vectorization of shift register algorithm and of statistical tests are presented.>

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What this paper is about

A pseudorandom number generator, based on a linear-feedback shift-register sequence, is presented. The very long period of the generator, 2/sup 1279/-1, makes it useful in modern statistical simulations. The proposed generator overcomes the limitations of multiplicative-congruential generators with modulus 2/sup 31/-1. The properties of linear-feedback shift-register sequences are reviewed, and a sequence of order p=1279 is proposed as a source of pseudorandom numbers. Results of the vectorization of shift register algorithm and of statistical tests are presented.>

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Available abstract

A pseudorandom number generator, based on a linear-feedback shift-register sequence, is presented. The very long period of the generator, 2/sup 1279/-1, makes it useful in modern statistical simulations. The proposed generator overcomes the limitations of multiplicative-congruential generators with modulus 2/sup 31/-1. The properties of linear-feedback shift-register sequences are reviewed, and a sequence of order p=1279 is proposed as a source of pseudorandom numbers. Results of the vectorization of shift register algorithm and of statistical tests are presented.>

Key concepts: Pseudorandom number generator, Shift register, Generator (circuit theory), Random number generation, Linear congruential generator, Computer science, Multiplicative function, Sequence (biology)

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