Values of Minors of (1, -1) Incidence Matrices of SBIBDs and Their Application to the Growth Problem

Koukouvinos, C; Mitrouli, M; Seberry, J

dc.contributor.author	Koukouvinos, C	en
dc.contributor.author	Mitrouli, M	en
dc.contributor.author	Seberry, J	en
dc.date.accessioned	2014-03-01T01:17:18Z
dc.date.available	2014-03-01T01:17:18Z
dc.date.issued	2001	en
dc.identifier.issn	0925-1022	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14445
dc.subject	Complete pivoting	en
dc.subject	Gaussian elimination	en
dc.subject	Growth	en
dc.subject	Incidence matrices	en
dc.subject	Minors	en
dc.subject	SBIBD	en
dc.subject.classification	Computer Science, Theory & Methods	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	GAUSSIAN-ELIMINATION	en
dc.title	Values of Minors of (1, -1) Incidence Matrices of SBIBDs and Their Application to the Growth Problem	en
heal.type	journalArticle	en
heal.identifier.primary	10.1023/A:1011244609434	en
heal.identifier.secondary	http://dx.doi.org/10.1023/A:1011244609434	en
heal.language	English	en
heal.publicationDate	2001	en
heal.abstract	We obtain explicit formulae for the values of the v - j minors, j = 0, 1, 2 of (1, -1) incidence matrices of SBIBD(v, k, λ). This allows us to obtain explicit information on the growth problem for families of matrices with moderate growth. An open problem remains to establish whether the (1, -1) CP incidence matrices of SBIBD(v, k, λ), can have growth greater than v for families other than Hadamard families.	en
heal.publisher	KLUWER ACADEMIC PUBL	en
heal.journalName	Designs, Codes, and Cryptography	en
dc.identifier.doi	10.1023/A:1011244609434	en
dc.identifier.isi	ISI:000169327600001	en
dc.identifier.volume	23	en
dc.identifier.issue	3	en
dc.identifier.spage	267	en
dc.identifier.epage	281	en