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Finite Fields and Their Applications
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Finite Fields and Their Applications
Article . 2002
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Efficient Linear Feedback Shift Registers with Maximal Period

Efficient linear feedback shift registers with maximal period
Authors: Boaz Tsaban; Uzi Vishne;

Efficient Linear Feedback Shift Registers with Maximal Period

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.

Keywords

fast software encryption, FOS: Computer and information sciences, linear transformation shift registers, Algebra and Number Theory, Computer Science - Cryptography and Security, Data encryption (aspects in computer science), Mathematics - Number Theory, fast software encryption., Applied Mathematics, Shift register sequences and sequences over finite alphabets in information and communication theory, Theoretical Computer Science, Cryptography, FOS: Mathematics, 11T06, 11T71, linear feedback shift registers, Number Theory (math.NT), Cryptography and Security (cs.CR), Engineering(all)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
36
Top 10%
Top 10%
Average
Green
hybrid