Title
Stability and Linearization of Multi-valued Nonlinear Feedback Shift Registers.
Abstract
In this paper, we study stability and linearization of multivalued 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 find their state transition matrices by considering it as a logical network via a semi-tensor product approach. 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 sufficient and necessary conditions are provided for globally (locally) stable multi-valued NFSRs. Finally, some examples are presented to show the effectiveness of the proposed results.
Year
Venue
Field
2015
IACR Cryptology ePrint Archive
Shift register,Nonlinear system,Matrix (mathematics),Control theory,Computer science,Feedback linearization,Truth table,Logical network,State-transition matrix,Linearization
DocType
Volume
Citations 
Journal
2015
0
PageRank 
References 
Authors
0.34
8
2
Name
Order
Citations
PageRank
Haiyan Wang13916.48
Dongdai Lin276298.54