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Finding Matching Initial States for Equivalent NLFSRs in the Fibonacci and the Galois Configurations
KTH, School of Information and Communication Technology (ICT), Electronic Systems.ORCID iD: 0000-0001-7382-9408
2010 (English)In: IEEE Transactions on Information Theory, ISSN 0018-9448, E-ISSN 1557-9654, Vol. 56, no 6, 2961-2966 p.Article in journal (Refereed) Published
Abstract [en]

The Fibonacci and the Galois configurations of nonlinear feedback shift registers (NLFSRs) are considered. In the former, the feedback is applied to the input bit of the shift register only. In the latter, the feedback can potentially be applied to every bit. The sufficient conditions for equivalence of NLFSRs in the Fibonacci and the Galois configurations have been formulated previously. The equivalent NLFSRs in different configurations normally have to be initialized to different states to generate the same output sequences. The mapping between the initial states of two equivalent NLFSRs in the Fibonacci and the Galois configurations is derived in this paper.

Place, publisher, year, edition, pages
2010. Vol. 56, no 6, 2961-2966 p.
Keyword [en]
Fibonacci nonlinear feedback shift register (NLFSR), Galois NLFSR, initial state, pseudorandom sequence, stream cipher
National Category
Computer Science Computer and Information Science
Identifiers
URN: urn:nbn:se:kth:diva-27859DOI: 10.1109/TIT.2010.2046250ISI: 000277880200037Scopus ID: 2-s2.0-77957567671OAI: oai:DiVA.org:kth-27859DiVA: diva2:385785
Note
QC 20110112Available from: 2011-01-12 Created: 2011-01-03 Last updated: 2017-12-11Bibliographically approved

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Dubrova, Elena

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