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	2014-03-01T01:52:11Z
dc.date.available	2014-03-01T01:52:11Z
dc.date.issued	2002	en
dc.identifier.issn	0315-3681	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/26591
dc.subject	sequences	en
dc.subject	orthogonal designs	en
dc.subject	Kharaghani type orthogonal designs	en
dc.subject	amicable sets	en
dc.subject	Hall polynomial	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Statistics & Probability	en
dc.title	Some results on Kharaghani type orthogonal designs	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2002	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 (a(1), a(2)), (a(1), a(2), a(3), a(4)) or (a(1), a(2), . . ., a(8)) then there exist amicable sequences of length l equivalent to 0 (mod m) and of the same type. We also present a theorem that produces a set of 2nu amicable sequences from a set of v (not necessary amicable) sequences and a construction method for amicable sequences of type (a(1), a(1), a(2), a(2),..., a(nu) a(nu)) 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 (a(1), a(2)...., a(nu)), 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.publisher	UTIL MATH PUBL INC	en
heal.journalName	UTILITAS MATHEMATICA	en
dc.identifier.isi	ISI:000183036400004	en
dc.identifier.volume	63	en
dc.identifier.spage	43	en
dc.identifier.epage	52	en