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In \cite{marjane2010}, we have introduced vectorial conception of FCSR's inFibonacci mode. This conception allows us to easily analyze FCSR's over binaryfinite fields $\mathbb{F}_{2^{n}}$ for $n\geq 2$. In \cite{allailou2010}, wedescribe and study the corresponding Galois mode and use it to design a newstream cipher. In this paper, we introduce the Ring mode for vectorial FCSR,explain the analysis of such Feedback registers and illustrate with a simpleexample.

Vectorial Feedback with Carry Registers and Memory requirements