Efficient linear feedback shift registers with maximal period

Details Efficient linear feedback shift registers with maximal period Efficient linear feedback shift registers with maximal period

2003-04-08

arxiv.org/abs/cs/0304010v1

Finite Fields and their Applications 8 (2002), 256--267

Computer Science

Cryptography and Security

Scientific paper

10.1006/ffta.2001.0339

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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