Vectorial FCSR constructed on totally ramified extension of the p-adic   numbers
  In this paper, we introduce a vectorial conception of d-FCSRs 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. Keywords: LFSR, FCSR, vectorial FCSR, d-FCSR, sequences, periodicity, p-adic, ?-adic, maximal period. 
Abdelaziz Marjane
cs.IT cs.CR math.IT