Paper 2015/253 Original: eprint.iacr.org/2015/253 ↗
Stability and Linearization of Multi-valued Nonlinear Feedback Shift Registers
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.
- History
- 2015-03-19: last updated
- 2015-03-19: published
- Short URL
- https://ia.cr/2015/253
- License
- https://creativecommons.org/licenses/by/4.0/
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}
}