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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2024, Volume 166, Book 2, Pages 162–172
DOI: https://doi.org/10.26907/2541-7746.2024.2.162-172 (Mi uzku1658) 		 
On the linear complexity of generalized cyclotomic sequences with odd period

V. A. Edemskiy

Yaroslav-the-Wise Novgorod State University, Veliky Novgorod, 173003 Russia
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DOI: https://doi.org/10.26907/2541-7746.2024.2.162-172
Abstract: The linear complexity of new generalized cyclotomic sequences with odd period was estimated. The sequences were defined using generalized cyclotomic classes composite modulo. Conditions sufficient for the existence of binary and non-binary sequences with high linear complexity were obtained. The earlier results on the linear complexity of sequences with the period equal to the power of a prime were generalized.
Keywords: generalized cyclotomic sequences, linear complexity.
Funding agency Grant number
Russian Science Foundation 24–21–00442
This study was supported by the Russian Science Foundation (project no. 24-21-00442).
Received: 05.05.2024
Accepted: 11.05.2024
Document Type: Article
UDC: 519.7
Language: Russian
Citation: V. A. Edemskiy, “On the linear complexity of generalized cyclotomic sequences with odd period”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 166, no. 2, Kazan University, Kazan, 2024, 162–172
Citation in format AMSBIB
\Bibitem{Ede24}
\by V.~A.~Edemskiy
\paper On the linear complexity of generalized cyclotomic sequences with odd period
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2024
\vol 166
\issue 2
\pages 162--172
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1658}
\crossref{https://doi.org/10.26907/2541-7746.2024.2.162-172}
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