New classes of orthogonal designs and weighing matrices derived from near normal sequences

Koukouvinos, C; Simos, DE

dc.contributor.author	Koukouvinos, C	en
dc.contributor.author	Simos, DE	en
dc.date.accessioned	2014-03-01T01:59:47Z
dc.date.available	2014-03-01T01:59:47Z
dc.date.issued	2010	en
dc.identifier.issn	10344942	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29039
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-77953150684&partnerID=40&md5=db8f779684176b8de00696b08af5c0fa	en
dc.title	New classes of orthogonal designs and weighing matrices derived from near normal sequences	en
heal.type	journalArticle	en
heal.publicationDate	2010	en
heal.abstract	Directed sequences have been recently introduced and used for constructing new orthogonal designs. The construction is achieved by multiplying the length and type of suitable compatible sequences. In this paper we show that near normal sequences of length n = 4m + 1 can be used to construct four directed sequences of lengths 2m+ 1, 2m+ 1, 2m, 2m and type (4m+1,4m+1) = (n, n) with zero NPAF. The above method leads to the construction of many large orthogonal designs. In addition, we obtain new infinite families of weighing matrices constructed by near normal sequences, such as W(156+ 4k, 125), W(160+ 4k, 144), W(200+ 4k, 196) and W(276 + 4k, 225) for all k ≥ 0. These families resolve the existence and construction of over 30 weighing matrices which are listed as open in the second edition of the Handbook of Combinatorial Designs.	en
heal.journalName	Australasian Journal of Combinatorics	en
dc.identifier.volume	47	en
dc.identifier.spage	11	en
dc.identifier.epage	20	en