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A List of Maximum-Period NLFSRs
KTH, School of Information and Communication Technology (ICT), Electronics and Embedded Systems.ORCID iD: 0000-0001-7382-9408
2012 (English)Report (Other academic)
Abstract [en]

Non-Linear Feedback Shift Registers (NLFSRs) are a generalization of Linear Feedback Shift Registers (LFSRs) in which a current state is a nonlinear function of the previous state. While the theory behind LFSRs is wellunderstood, many fundamental problems related to NLFSRs remain open. Probably the most important one is finding a systematic procedure for constructing NLFSRs with a guaranteed long period. Available algorithms either consider some special cases, or are applicable to small NLFSRs only. In this paper, we present a complete list of n-bit NLFSRs with the period 2n − 1, n < 25, for three different types of feedback functions with algebraic degree two. We hope that the presented experimental data might help analysing feedback functions of maximum-period NLFSRs and finding a supporting theory characterizing them.

Place, publisher, year, edition, pages
2012. , 9 p.
, Cryptology ePrint Archive, Report 2012/166
Keyword [en]
NLFSR, maximum period, sequence
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
URN: urn:nbn:se:kth:diva-166826OAI: diva2:812512

QC 20150603

Available from: 2015-05-19 Created: 2015-05-19 Last updated: 2015-06-03Bibliographically approved

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Dubrova, Elena
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