On Sequences with Zero Autocorrelation and Orthogonal Designs

Georgiou, S; Koukouvinos, C

dc.contributor.author	Georgiou, S	en
dc.contributor.author	Koukouvinos, C	en
dc.date.accessioned	2014-03-01T01:16:50Z
dc.date.available	2014-03-01T01:16:50Z
dc.date.issued	2001	en
dc.identifier.issn	0097-3165	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14248
dc.subject	Directed sequences	en
dc.subject	multiplication	en
dc.subject	autocorrelation	en
dc.subject	orthogonal design	en
dc.subject.classification	Mathematics	en
dc.subject.other	MATRICES	en
dc.title	On Sequences with Zero Autocorrelation and Orthogonal Designs	en
heal.type	journalArticle	en
heal.identifier.primary	10.1006/jcta.2000.3120	en
heal.identifier.secondary	http://dx.doi.org/10.1006/jcta.2000.3120	en
heal.language	English	en
heal.publicationDate	2001	en
heal.abstract	We propose some methods for multiplying the length and type of sequences with elements on a set of commuting variables which have zero non-periodic autocorrelation function. We use base sequences of lengths n + 1, n + 1, n, n in order to construct four directed sequences of lengths n + 1, n + 1, n,n and type (2n + 1, 2n + 1) with zero NPAF as well as normal sequences of length n in order to construct four directed sequences of length 2n and type (2n, 2n, 2n, 2n) with zero NPAF. We construct two and four directed sequences with zero PAF of length 34 and type (34, 34), and (34, 34, 34, 34), respectively, as well as four directed sequences with zero NPAF of lengths 34, 34, 33, 33 and type (67,67). We also indicate that from m directed sequences of lengths n(1), n(2),..., n(m), which consist of t variables, we obtain k.m directed sequences of lengths n(1), n(2),..., n(m) (k sequences will be of lengths n(i), i = 1, 2,..., m) which consist of k.t variables for k = 1, 2,.... The above methods lead to the construction of many new orthogonal designs. (C) 2001 Academic Press.	en
heal.publisher	ACADEMIC PRESS INC	en
heal.journalName	Journal of Combinatorial Theory. Series A	en
dc.identifier.doi	10.1006/jcta.2000.3120	en
dc.identifier.isi	ISI:000167937600002	en
dc.identifier.volume	94	en
dc.identifier.issue	1	en
dc.identifier.spage	15	en
dc.identifier.epage	33	en