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Article
Values of minors of (1,-1) incidence matrices of SBIBDs and their application to the growth problem
Faculty of Informatics - Papers (Archive)
  • C. Koukouvinos
  • M. Mitrouli
  • Jennifer Seberry, University of Wollongong
RIS ID
6391
Publication Date
1-1-2001
Publication Details

C. Koukouvinos, M. Mitrouli and Jennifer Seberry, Values of minors of (1,-1) incidence matrices of SBIBDs and their application to the growth problem, Designs, Codes, Cryptography, 23 (2001), 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 remians 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.

Citation Information
C. Koukouvinos, M. Mitrouli and Jennifer Seberry. "Values of minors of (1,-1) incidence matrices of SBIBDs and their application to the growth problem" (2001)
Available at: http://works.bepress.com/jseberry/356/