Values of minors of (1,-1) incidence matrices of SBIBDs and their application to the growth problem

Authors
Koukouvinos, C Mitrouli, M Seberry, J
Citation
C. Koukouvinos et al., Values of minors of (1,-1) incidence matrices of SBIBDs and their application to the growth problem, DES CODES C, 23(3), 2001, pp. 267-281
Citations number
9
Categorie Soggetti
Computer Science & Engineering
Journal title
DESIGNS CODES AND CRYPTOGRAPHY
ISSN journal
09251022 → ACNP
Volume
23
Issue
3
Year of publication
2001
Pages
267 - 281
Database
ISI
SICI code
0925-1022(2001)23:3<267:VOMO(I>2.0.ZU;2-C
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,lambda). This allows us to obtain exp licit information on the growth problem for families of matrices with moder ate growth. An open problem remains to establish whether the (1, -1) CP inc idence matrices of SBIBD(v,k,lambda), can have growth greater than v for fa milies other than Hadamard families.