d-VFCSR or vectorial FCSR constructed on totally ramified extension of the p-adic numbers
نویسنده
چکیده
In this paper, we introduce a vectorial conception of dFCSRs to build these registers over any finite field. We describe the structure of d-vectorial FCSRs and we develop an analysis to obtain basic properties like periodicity and the existence of maximal length sequences. To illustrate these vectorial d-FCSRs, we present simple examples and we compare with those of Goresky, Klapper and Xu.
منابع مشابه
Vectorial Feedback with Carry Registers and Memory requirements
In [3], 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 for n ≥ 2. In [4], 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 w...
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عنوان ژورنال:
- CoRR
دوره abs/1112.6210 شماره
صفحات -
تاریخ انتشار 2011