Autocorrelation Values of Generalized Cyclotomic Sequences with Period pn+1

Autor:	Xiaolin Chen, Huaning Liu
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	stream cipher generalized cyclotomy generalized cyclotomic sequence autocorrelation value character sum Mathematics QA1-939
Zdroj:	Mathematics, Vol 7, Iss 10, p 950 (2019)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math7100950
Popis:	Recently Edemskiy proposed a method for computing the linear complexity of generalized cyclotomic binary sequences of period p n + 1 , where p = d R + 1 is an odd prime, d , R are two non-negative integers, and n > 0 is a positive integer. In this paper we determine the exact values of autocorrelation of these sequences of period p n + 1 ( n ≥ 0 ) with special subsets. The method is based on certain identities involving character sums. Our results on the autocorrelation values include those of Legendre sequences, prime-square sequences, and prime cube sequences.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/849a2e90537f4645a60ddf23f96b2bfd Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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