On generalized Legendre pairs and multipliers of the corresponding supplementary difference sets

Georgiou, S; Koukouvinos, C

dc.contributor.author	Georgiou, S	en
dc.contributor.author	Koukouvinos, C	en
dc.date.accessioned	2014-03-01T01:18:09Z
dc.date.available	2014-03-01T01:18:09Z
dc.date.issued	2002	en
dc.identifier.issn	0315-3681	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14818
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0035982717&partnerID=40&md5=1de144c7a89209bfea6fcf3d2f34597b	en
dc.subject	Algorithm	en
dc.subject	Autocorrelation function	en
dc.subject	Multiplier	en
dc.subject	Supplementary difference sets	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Statistics & Probability	en
dc.subject.other	D-OPTIMAL DESIGNS	en
dc.title	On generalized Legendre pairs and multipliers of the corresponding supplementary difference sets	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	The autocorrelation function of a sequence is a measure for how much the given sequence differs from its translates. Binary sequences with good periodic autocorrelation properties have important applications in various areas of engineering. They are also used in several topics of combinatorics. In particular, sometimes one needs two +/-1 sequences for which the sum of their periodic autocorrelations, except for the 0-th term, is a constant, say gamma. If gamma = -2 these two sequences are called generalized Legendre pairs. In this paper, we consider generalized Legendre pairs, which are presented in the form of the corresponding supplementary difference sets. We investigate multipliers of these supplementary difference sets, and we construct a series of such pairs. The construction is achieved through an algorithm which is also presented. Using some facts from group theory, this algorithm employs a fast searching method to find the multipliers and to construct the corresponding supplementary differences sets.	en
heal.publisher	UTIL MATH PUBL INC	en
heal.journalName	Utilitas Mathematica	en
dc.identifier.isi	ISI:000175585400004	en
dc.identifier.volume	61	en
dc.identifier.spage	47	en
dc.identifier.epage	63	en