Further results on ternary complementary sequences, orthogonal designs and weighing matrices

Koukouvinos, C; Simos, DE

dc.contributor.author	Koukouvinos, C	en
dc.contributor.author	Simos, DE	en
dc.date.accessioned	2014-03-01T02:02:07Z
dc.date.available	2014-03-01T02:02:07Z
dc.date.issued	2011	en
dc.identifier.issn	10344942	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29293
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-79958168539&partnerID=40&md5=da9e1dec84419a55a4468ca06ea8405e	en
dc.title	Further results on ternary complementary sequences, orthogonal designs and weighing matrices	en
heal.type	journalArticle	en
heal.publicationDate	2011	en
heal.abstract	A set of sequences is complementary, if the sum of their periodic or nonperiodic autocorrelation function is zero. Infinite families of orthogonal designs, based on some weighing matrices of order 2n, weight 2n-k and spread σ, are constructed from two circulants matrices by using complementary sequences of zero non-periodic autocorrelation function, i.e. ternary complementary pairs. Moreover, a new measure is introduced, called ζ-efficiency, for ternary complementary pairs and some of its basic properties are explored. Using the notion of ζ-efficiency, some infinite classes of weighing matrices from ternary complementary pairs are constructed. Finally, a multiplication theorem for sequences with zero periodic autocorrelation function is given and its consequences are studied. As an application, we give some more weighing matrices from the derived pairs of zero periodic autocorrelation function. © 2011 Combinatorial Mathematics Society of Australasia (Inc.).	en
heal.journalName	Australasian Journal of Combinatorics	en
dc.identifier.volume	50	en
dc.identifier.spage	97	en
dc.identifier.epage	112	en