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

Authors:
C. Koukouvinos;M. Mitrouli;Jennifer Seberry
Affiliations:
Department of Mathematics, National Technical University of Athens, Zografou 15773, Athens, Greece;Department of Mathematics, University of Athens, Panepistemiopolis 15784, Athens, Greece;School of Information Technology and Computer Science, University of Wollongong, Wollongong, NSW, 2522, Australia
Venue:
Designs, Codes and Cryptography
Year:
2001

Citing 4
Cited 0

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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 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,\lambda), can have growth greater than v for families other than Hadamard families.