NDLI: Novel way to research nonlinear feedback shift register

Content Provider	Springer Nature Link
Author	Zhao, DaWei Peng, HaiPeng Li, LiXiang Hui, SiLi Yang, YiXian
Copyright Year	2014
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 $$2^{2^n - (l - n)} /2^{2^n - l}$$ shortest n-stage feedback shift registers (nFSR) and at least $$2^{2^n - (l - n) - 1} /2^{2^n - l - 1}$$ shortest 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 $$2^{2^{n - 2} - 1}$$ different full-length nNLFSRs, respectively.
Starting Page	1
Ending Page	14
Page Count	14
File Format	PDF
ISSN	1674733X
Journal	Science in China Series : Information Sciences
Volume Number	57
Issue Number	9
e-ISSN	18691919
Language	English
Publisher	Science China Press
Publisher Date	2014-01-08
Publisher Place	Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	nonlinear feedback shift register semi-tensor product Boolean network full-length nNLFSR binary sequence Information Systems and Communication Service
Content Type	Text
Resource Type	Article
Subject	Computer Science

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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