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Efficient linear feedback shift registers with maximal period

Boaz Tsaban·Uzi Vishne
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Abstract

We introduce and analyze an efficient family of linear feedback shift registers (LFSR's) with maximal period. This family is word-oriented and is suitable for implementation in software, thus provides a solution to a recent challenge posed in FSE '94. The classical theory of LFSR's is extended to provide efficient algorithms for generation of irreducible and primitive LFSR's of this new type.

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Boaz Tsaban, Uzi Vishne. 2003-04-08. Efficient linear feedback shift registers with maximal period. https://doi.org/10.1006/ffta.2001.0339

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