Welcome to the resource topic for 2015/253
Title:
Stability and Linearization of Multi-valued Nonlinear Feedback Shift Registers
Authors: Haiyan Wang, Dongdai Lin
Abstract:In this paper, we study stability and linearization of multi- valued nonlinear feedback shift registers which are considered as logic networks. First, the linearization of multi-valued nonlinear feedback shift registers (NFSRs) is discussed, which is to nd their state transition ma- trices by considering it as a logical network via a semi-tensor product ap- proach. For a multi-valued NFSR, the new state transition matrix which can be simply computed from the truth table of its feedback function is more explicit. Second, based on the linearization theory of multi-valued NFSRs, we investigate the stability of multi-valued NFSRs, and some suf- cient and necessary conditions are provided for globally (locally) stable multi-valued NFSRs. Finally, some examples are presented to show the eectiveness of the proposed results.
ePrint: https://eprint.iacr.org/2015/253
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