Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography]
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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2010, Volume 1, Issue 2, Pages 57–92
DOI: https://doi.org/10.4213/mvk10 (Mi mvk10) 		 
Free shift registers. IV

V. L. Kurakin

Russian State Social University, Moscow
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DOI: https://doi.org/10.4213/mvk10
Abstract: Semigroups and groups of vectorial periods of a shift register over the free semigroup are considered. We suggest a method of derivation of a regular shift register period based on the computation of the index of vectorial periods group. Maximal period free shift registers are defined and conditions of their existence are found. A notion of minimal shift register monoid is introduced and investigated.
Key words: free semigroup, shift register, maximal period.
Received 22.IV.2010
Document Type: Article
UDC: 512.53, 519.113.6
Language: Russian
Citation: V. L. Kurakin, “Free shift registers. IV”, Mat. Vopr. Kriptogr., 1:2 (2010), 57–92
Citation in format AMSBIB
\Bibitem{Kur10}
\by V.~L.~Kurakin
\paper Free shift registers.~IV
\jour Mat. Vopr. Kriptogr.
\yr 2010
\vol 1
\issue 2
\pages 57--92
\mathnet{http://mi.mathnet.ru/mvk10}
\crossref{https://doi.org/10.4213/mvk10}
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