Efficient linear feedback shift registers with maximal period

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Abstract

We introduce and analyze an efficient family of linear feedback shift registers (LFSR) with maximal period. This family is word-oriented and is suitable for implementation in software, thus provides a solution to a recent challenge [8]. The classical theory of LFSR's is extended to provide efficient algorithms for generation of irreducible and primitive LFSR's of this new type.

Original languageEnglish
Pages (from-to)256-267
Number of pages12
JournalFinite Fields and Their Applications
Volume8
Issue number2
DOIs
StatePublished - 2002

Keywords

  • Fast software encryption
  • Linear feedback shift registers
  • Linear transformation shift registers

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