On circulant best matrices and their applications

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	2014-03-01T01:16:49Z
dc.date.available	2014-03-01T01:16:49Z
dc.date.issued	2001	en
dc.identifier.issn	0308-1087	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14246
dc.subject	Circulant matrices	en
dc.subject	Hadamard matrices	en
dc.subject	Orthogonal designs	en
dc.subject	Supplementary difference sets	en
dc.subject.classification	Mathematics	en
dc.subject.other	HADAMARD-MATRICES	en
dc.subject.other	CLASSIFICATION	en
dc.title	On circulant best matrices and their applications	en
heal.type	journalArticle	en
heal.identifier.primary	10.1080/03081080108818672	en
heal.identifier.secondary	http://dx.doi.org/10.1080/03081080108818672	en
heal.language	English	en
heal.publicationDate	2001	en
heal.abstract	Call four type 1 (1, -1) matrices, X1, X2, X3, X4, on the same group of order m (odd) with the properties (i) (Xi-I)T = -(Xi-I), i=1, 2, 3, (ii) X4T = X4 and the diagonal elements are positive, (iii) XiXj=XjXi and (iv) X1X1T + X2X2T + X3X3T + X4X4T = 4mIm, best matrices. We use a computer to give, for the first time, all inequivalent best matrices of odd order m ≤ 31. Inequivalent best matrices of order m, m odd, can be used to find inequivalent skew-Hadamard matrices of order 4m. We use best matrices of order (1/4) (s2+3) to construct new orthogonal designs, including new OD(2s2+6; 1, 1, 2, 2, s2, s2). © 2001 OPA (Overseas Publishers Association) N.V. Published by license under the Gordon and Breach Science Publishers imprint.	en
heal.publisher	GORDON BREACH PUBLISHING, TAYLOR & FRANCIS GROUP	en
heal.journalName	Linear and Multilinear Algebra	en
dc.identifier.doi	10.1080/03081080108818672	en
dc.identifier.isi	ISI:000168265300004	en
dc.identifier.volume	48	en
dc.identifier.issue	3	en
dc.identifier.spage	263	en
dc.identifier.epage	274	en