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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2011, Volume 2, Issue 3, Pages 47–73
DOI: https://doi.org/10.4213/mvk36 (Mi mvk36) 		 
Family of maximal period sequences with low cross-correlation over an 8-element ring

V. L. Kurakin

Russian State Social University, Moscow
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DOI: https://doi.org/10.4213/mvk36
Abstract: A family of sequences over a ring with 8 elements having period $2(2^m-1)$ and cross-correlation function asymptotically optimal with respect to the Sidelnikov and Welch bounds is constructed.
Key words: linear recurrent sequences over rings, sequences of maximal period, cross-correlation function, Sidelnikov bound, Welch bound, optimal cross-correlation, sums of characters.
Received 10.V.2011
Document Type: Article
UDC: 512.53+519.113.6
Language: Russian
Citation: V. L. Kurakin, “Family of maximal period sequences with low cross-correlation over an 8-element ring”, Mat. Vopr. Kriptogr., 2:3 (2011), 47–73
Citation in format AMSBIB
\Bibitem{Kur11}
\by V.~L.~Kurakin
\paper Family of maximal period sequences with low cross-correlation over an 8-element ring
\jour Mat. Vopr. Kriptogr.
\yr 2011
\vol 2
\issue 3
\pages 47--73
\mathnet{http://mi.mathnet.ru/mvk36}
\crossref{https://doi.org/10.4213/mvk36}
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