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

Authors

C Koukouvinos, National Technical University of Athens, Greece
M Mitrouli, University of Athens, Greece
Jennifer Seberry, University of WollongongFollow

RIS ID

6391

Publication Details

Koukouvinos, C., Mitrouli, M. & Seberry, J. (2001). Values of minors of (1,-1) incidence matrices of SBIBDs and their application to the growth problem. Design, Codes and Cryptography, 23 267-281.

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.