Paper 2009/167

A new approach for FCSRs

François Arnault, Thierry Berger, Cédric Lauradoux, Marine Minier, and Benjamin Pousse

Abstract

The Feedback with Carry Shift Registers (FCSRs) have been proposed as an alternative to Linear Feedback Shift Registers (LFSRs) for the design of stream ciphers. FCSRs have good statistical properties and they provide a built-in non-linearity. However, two attacks have shown that the current representations of FCSRs can introduce weaknesses in the cipher. We propose a new ``ring'' representation of FCSRs based upon matrix definition which generalizes the Galois and Fibonacci representations. Our approach preserves the statistical properties and circumvents the weaknesses of the Fibonacci and Galois representations. Moreover, the ring representation leads to automata with a quicker diffusion characteristic and better implementation results. As an application, we describe a new version of F-FCSR stream ciphers.

Metadata
Available format(s)
PDF
Category
Secret-key cryptography
Publication info
Published elsewhere. Unknown where it was published
Keywords
Stream ciphersFCSR
Contact author(s)
benjamin pousse @ xlim fr
History
2009-04-10: received
Short URL
https://ia.cr/2009/167
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2009/167,
      author = {François Arnault and Thierry Berger and Cédric Lauradoux and Marine Minier and Benjamin Pousse},
      title = {A new approach for {FCSRs}},
      howpublished = {Cryptology {ePrint} Archive, Paper 2009/167},
      year = {2009},
      url = {https://eprint.iacr.org/2009/167}
}
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