Improving the lower bounds on inequivalent Hadamard matrices through orthogonal designs and meta-programming techniques

Koukouvinos, C; Simos, DE

dc.contributor.author	Koukouvinos, C	en
dc.contributor.author	Simos, DE	en
dc.date.accessioned	2014-03-01T01:33:38Z
dc.date.available	2014-03-01T01:33:38Z
dc.date.issued	2010	en
dc.identifier.issn	0168-9274	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20501
dc.subject	Hadamard matrices	en
dc.subject	Meta-programming	en
dc.subject	Non-periodic autocorrelation function	en
dc.subject	Orthogonal designs	en
dc.subject	Sequences	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Algorithmic construction	en
dc.subject.other	Circulants	en
dc.subject.other	Hadamard matrices	en
dc.subject.other	Lower bounds	en
dc.subject.other	Meta Programming	en
dc.subject.other	New construction	en
dc.subject.other	Orthogonal design	en
dc.subject.other	Periodic autocorrelation functions	en
dc.subject.other	Symmetric block matrices	en
dc.subject.other	Systems of equations	en
dc.subject.other	Correlation detectors	en
dc.subject.other	Design	en
dc.subject.other	Regression analysis	en
dc.subject.other	Orthogonal functions	en
dc.title	Improving the lower bounds on inequivalent Hadamard matrices through orthogonal designs and meta-programming techniques	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.apnum.2009.06.002	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.apnum.2009.06.002	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	In this paper, we construct inequivalent Hadamard matrices based on several new and old full orthogonal designs, using circulant and symmetric block matrices. Not all orthogonal designs produce inequivalent Hadamard matrices, because the corresponding systems of equations do not possess solutions. In addition, we give some new constructions for orthogonal designs derived from sequences with zero autocorrelation. The orthogonal designs used to construct the inequivalent Hadamard matrices are produced from theoretical and algorithmic constructions. (C) 2009 IMACS. Published by Elsevier By. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Applied Numerical Mathematics	en
dc.identifier.doi	10.1016/j.apnum.2009.06.002	en
dc.identifier.isi	ISI:000277031000006	en
dc.identifier.volume	60	en
dc.identifier.issue	4	en
dc.identifier.spage	370	en
dc.identifier.epage	377	en