English

Vectorial Feedback with Carry Registers and Memory requirements

Information Theory 2011-09-14 v2 Cryptography and Security math.IT

Abstract

In \cite{marjane2010}, we have introduced vectorial conception of FCSR's in Fibonacci mode. This conception allows us to easily analyze FCSR's over binary finite fields F2n\mathbb{F}_{2^{n}} for n2n\geq 2. In \cite{allailou2010}, we describe and study the corresponding Galois mode and use it to design a new stream cipher. In this paper, we introduce the Ring mode for vectorial FCSR, explain the analysis of such Feedback registers and illustrate with a simple example.

Cite

@article{arxiv.1103.1432,
  title  = {Vectorial Feedback with Carry Registers and Memory requirements},
  author = {Abdelaziz Marjane and Abdellah Mokrane and Boufeldja Allailou},
  journal= {arXiv preprint arXiv:1103.1432},
  year   = {2011}
}

Comments

12 pages, 4 figures

R2 v1 2026-06-21T17:36:22.787Z