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Journal of Mathematical Cryptology

Managing Editor: Magliveras, Spyros S. / Steinwandt, Rainer / Trung, Tran

Editorial Board: Blackburn, Simon R. / Blundo, Carlo / Burmester, Mike / Cramer, Ronald / Dawson, Ed / Gilman, Robert / Gonzalez Vasco, Maria Isabel / Grosek, Otokar / Helleseth, Tor / Kim, Kwangjo / Koblitz, Neal / Kurosawa, Kaoru / Lauter, Kristin / Lange, Tanja / Menezes, Alfred / Nguyen, Phong Q. / Pieprzyk, Josef / Rötteler, Martin / Safavi-Naini, Rei / Shparlinski, Igor E. / Stinson, Doug / Takagi, Tsuyoshi / Williams, Hugh C. / Yung, Moti

4 Issues per year


CiteScore 2017: 1.43

SCImago Journal Rank (SJR) 2017: 0.293
Source Normalized Impact per Paper (SNIP) 2017: 1.117

Mathematical Citation Quotient (MCQ) 2017: 0.51

Online
ISSN
1862-2984
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Volume 3, Issue 3

Issues

Some remarks on FCSRs and implications for stream ciphers

Simon Fischer / Willi Meier / Dirk Stegemann
Published Online: 2010-01-20 | DOI: https://doi.org/10.1515/JMC.2009.013

Abstract

Feedback with carry shift registers (FCSRs) are extensively discussed in the context of pseudorandom number generation and as building blocks for stream ciphers. Similarly to linear feedback shift registers, FCSRs may be represented in Galois and in Fibonacci architecture. We describe the first formal characterization of periodic Galois states and show an efficient mapping between periodic Galois states and periodic Fibonacci states. Additionally we provide a method for explicitly computing the autocorrelation of maximum-period FCSR sequences and discuss the impact of our findings on the design of FCSR-based stream ciphers.

Keywords.: FCSR; F-FCSR; stream cipher design

About the article

Received: 2008-12-30

Revised: 2009-09-28

Published Online: 2010-01-20

Published in Print: 2009-09-01


Citation Information: Journal of Mathematical Cryptology, Volume 3, Issue 3, Pages 227–236, ISSN (Online) 1862-2984, ISSN (Print) 1862-2976, DOI: https://doi.org/10.1515/JMC.2009.013.

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