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Note on Marsaglia's xorshift random number generators

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Date

2004

Authors

Brent, Richard

Journal Title

Journal ISSN

Volume Title

Publisher

American Statistical Association

Abstract

Marsaglia, (2003) has described a class of "xorshift" random number generators (RNGs) with periods 2n - 1 for n = 32, 64, etc. We show that the sequences generated by these RNGs are identical to the sequences generated by certain linear feedback shift register (LFSR) generators using "exclusive or" (xor) operations on n-bit words, with a recurrence defined by a primitive polynomial of degree n.

Description

Keywords

Keywords: LFSR sequences; Linear feedback shift registers; Primitive polynomials; Random number generators; Xorshift RNGs

Citation

URI

http://hdl.handle.net/1885/34049

Collections

ANU Research Publications

Source

Journal of Statistical Software

Type

Journal article

Book Title

Entity type

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License Rights

DOI

Restricted until

2037-12-31

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