Some results on Kharaghani type orthogonal designs

Georgiou, S; Koukouvinos, C; Seberry, J

dc.contributor.author	Georgiou, S	en
dc.contributor.author	Koukouvinos, C	en
dc.contributor.author	Seberry, J	en
dc.date.accessioned	2014-03-01T01:53:04Z
dc.date.available	2014-03-01T01:53:04Z
dc.date.issued	2003	en
dc.identifier.issn	03153681	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/26835
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0038687485&partnerID=40&md5=fd2733675bd70d9e2c5302fc08122521	en
dc.subject	Amicable sets	en
dc.subject	Hall polynomial	en
dc.subject	Kharaghani type orthogonal designs	en
dc.subject	Orthogonal designs	en
dc.subject	Sequences	en
dc.title	Some results on Kharaghani type orthogonal designs	en
heal.type	journalArticle	en
heal.publicationDate	2003	en
heal.abstract	In this paper we give a general theorem which can be used to multiply the length of amicable sequences keeping the amicability property and the type of the sequences. As a consequence we have that if there exist two, four or eight amicable sequences of length m and type (a1, a2), (a1, a2, a3, a4) or (a1,a2,...,a8) then there exist amicable sequences of length l = 0 (mod m) and of the same type. We also present a theorem that produces a set of 2v amicable sequences from a set of v (not necessary amicable) sequences and a construction method for amicable sequences of type (a1, a1, a2, a2,..., av, av) from v pairs of disjoint (0, ±1) amicable sequences. Using these results we can obtain many infinite classes of Kharaghani type orthogonal designs. Actually, if there exists an Kharaghani type orthogonal design of order n and of type (a1, a2,..., av), which is constructed from sequences, then there exists an infinite family of Kharaghani type orthogonal designs of the same type which is constructed from appropriate sequences.	en
heal.journalName	Utilitas Mathematica	en
dc.identifier.volume	63	en
dc.identifier.spage	43	en
dc.identifier.epage	52	en