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- W3141203192 abstract "In this paper,we regard the nonlinear feedback shift register(NLFSR) as a special Boolean network,and use semi-tensor product of matrices and matrix expression of logic to convert the dynamic equations of NLFSR into an equivalent algebraic equation. Based on them,we propose some novel and generalized techniques to study NLFSR. First,a general method is presented to solve an open problem of how to obtain the properties(the number of fixed points and the cycles with different lengths) of the state sequences produced by a given NLFSR,i.e.,the analysis of a given NLFSR. We then show how to construct all 22n-(l-n)/22n-lshortest n-stage feedback shift registers(nFSR) and at least 22n-(l-n)-1/22n-l-1shortest n-stage nonlinear feedback shift registers(nNLFSR) which can output a given nonperiodic/periodic sequence with length l. Besides,we propose two novel cycles joining algorithms for the construction of full-length nNLFSR. Finally,two algorithms are presented to construct 22n-2-1different full-length nNLFSRs,respectively." @default.
- W3141203192 created "2021-04-13" @default.
- W3141203192 creator A5046017530 @default.
- W3141203192 date "2014-01-01" @default.
- W3141203192 modified "2023-10-14" @default.
- W3141203192 title "Novel way to research nonlinear feedback shift register" @default.
- W3141203192 hasPublicationYear "2014" @default.
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