Vectorial Feedback with Carry Registers and Memory requirements

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 ${\mathbb{F}}_{2^n}$ for $n\ge 2$. 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.

12 pages, 4 figures