Stability and Linearization of Multi-valued Nonlinear Feedback Shift Registers

Haiyan Wang; Dongdai Lin

Paper 2015/253

Stability and Linearization of Multi-valued Nonlinear Feedback Shift Registers

Haiyan Wang and 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.

Metadata

Available format(s): PDF
Category: Secret-key cryptography
Publication info: Preprint. MINOR revision.
Keywords: Nonlinear feedback shift register Semi-tensor product State transition matrix Stability Boolean network.
Contact author(s): wanghaiyan @ iie ac cn
History: 2015-03-19: received
Short URL: https://ia.cr/2015/253
License: CC BY

BibTeX

@misc{cryptoeprint:2015/253,
      author = {Haiyan Wang and Dongdai Lin},
      title = {Stability and Linearization of Multi-valued Nonlinear Feedback Shift Registers},
      howpublished = {Cryptology {ePrint} Archive, Paper 2015/253},
      year = {2015},
      url = {https://eprint.iacr.org/2015/253}
}