On inequivalent Hadamard matrices of order 36

Georgiou, S; Koukouvinos, G

dc.contributor.author	Georgiou, S	en
dc.contributor.author	Koukouvinos, G	en
dc.date.accessioned	2014-03-01T01:21:09Z
dc.date.available	2014-03-01T01:21:09Z
dc.date.issued	2004	en
dc.identifier.issn	0381-7032	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16102
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-26944496821&partnerID=40&md5=c63cd9629de36d3b7c14555a0a923c51	en
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-26944467181&partnerID=40&md5=be584e28ebb76d9ea51175184f2d1ef2	en
dc.relation.uri	http://www.informatik.uni-trier.de/~ley/db/journals/arscom/arscom70.html#GeorgiouK04a	en
dc.relation.uri	http://www.informatik.uni-trier.de/~ley/db/journals/arscom/arscom70.html#GeorgiouK04	en
dc.subject	Algorithm	en
dc.subject	Circulant matrices	en
dc.subject	Goethals-Seidel array	en
dc.subject	Hadamard matrices	en
dc.subject	Hamming distance	en
dc.subject	Inequivalence	en
dc.subject	Symmetric Hamming distance	en
dc.subject.classification	Mathematics	en
dc.subject.other	CLASSIFICATION	en
dc.subject.other	DESIGNS	en
dc.title	On inequivalent Hadamard matrices of order 36	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	In this paper we construct many Hadamard matrices of order 44 and we use a new efficient algorithm to investigate the lower bound of inequivalent Hadamard matrices of order 44. Using four (1, -1) circulant matrices of order 11 in the Goethals - Seidel array we obtain many new Hadamard matrices of order 44 and we show that there are at least 6018 inequivalent Hadamard matrices for this order. Moreover, we use a known method to investigate the existence of double even self-dual codes [88, 44, d] over GF(2) constructed from these Hadamard matrices.	en
heal.publisher	CHARLES BABBAGE RES CTR	en
heal.journalName	Ars Combinatoria	en
dc.identifier.isi	ISI:000188754300003	en
dc.identifier.volume	70	en
dc.identifier.spage	19	en
dc.identifier.epage	31	en