English

Efficient linear feedback shift registers with maximal period

Cryptography and Security 2010-08-02 v1 Number Theory

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.

Cite

@article{arxiv.cs/0304010,
  title  = {Efficient linear feedback shift registers with maximal period},
  author = {Boaz Tsaban and Uzi Vishne},
  journal= {arXiv preprint arXiv:cs/0304010},
  year   = {2010}
}