Binary sequence/array pairs via diference set pairs: A recursive approach

Autor:	K. T. Arasu, Anika Goyal, Abhishek Puri
Jazyk:	angličtina
Rok vydání:	2017
Předmět:	‎autocorrelation‎ ‎binary sequence‎ ‎perfect sequence pair‎ ‎difference set pair Mathematics QA1-939
Zdroj:	Transactions on Combinatorics, Vol 6, Iss 3, Pp 19-36 (2017)
Druh dokumentu:	article
ISSN:	2251-8657 2251-8665
DOI:	10.22108/toc.2017.21466
Popis:	Binary array pairs with optimal/ideal correlation values and their algebraic counterparts textquotedblleft difference set pairstextquotedblright;(DSPs) in abelian groups are studied‎. ‎In addition to generalizing known 1-dimensional (sequences) examples‎, ‎we provide four new recursive constructions‎, ‎unifying previously obtained ones‎. ‎Any further advancements in the construction of binary sequences/arrays with optimal/ideal correlation values (equivalently cyclic/abelian difference sets) would give rise to richer classes of DSPs (and hence binary perfect array pairs)‎. ‎Discrete signals arising from DSPs find applications in cryptography‎, ‎CDMA systems‎, ‎radar and wireless communications‎.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/637472478033403e8a155e9b126bd99e Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF