Symmetric 2-adic complexity of generalized cyclotomic sequences of order six with period p n

Autor:	S A Koltsova, V A Edemskiy
Rok vydání:	2021
Předmět:	Combinatorics History Mathematics::Number Theory Order (group theory) Mathematics::Representation Theory Period (music) Computer Science Applications Education Mathematics
Zdroj:	Journal of Physics: Conference Series. 2052:012009
ISSN:	1742-6596 1742-6588
DOI:	10.1088/1742-6596/2052/1/012009
Popis:	In this paper, the symmetric 2-adic complexity of generalized cyclotomic sequences of order six with period equals a power of an odd prime is studied. The estimate of symmetric 2-adic complexity of these sequences is obtained. It is shown that above sequences have high symmetric 2-adic complexity and the 2-adic complexity of this class of sequences is large enough to resist the attack of the rational approximation algorithm for feedback with carry shift registers.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ecf8e88b5c5e6a8528e8ae5d493c609a https://doi.org/10.1088/1742-6596/2052/1/012009 Zobrazit plný text záznamu