Cryptology ePrint Archive: Report 2015/253

Stability and Linearization of Multi-valued Nonlinear Feedback Shift Registers

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 e ectiveness of the proposed results.

Category / Keywords: secret-key cryptography / Nonlinear feedback shift register, Semi-tensor product, State transition matrix, Stability, Boolean network.

Date: received 17 Mar 2015

Contact author: wanghaiyan at iie ac cn

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Version: 20150319:073248 (All versions of this report)

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