Skip to main content
Article
Bounds on the maximum determinant for (1,-1) matrices
Faculty of Informatics - Papers (Archive)
  • C Koukouvinos, National Technical University of Athens, Greece
  • M Mitrouli, University of Athens, Greece
  • Jennifer Seberry, University of Wollongong
RIS ID
4604
Publication Date
1-5-2000
Publication Details

Koukouvinos, C., Mitrouli, M. & Seberry, J. (2000). Bounds on the maximum determinant for (1,-1) matrices. Bulletin of the Institute of Combinatorics and its applications, 29 39-48.

Abstract

We suppose the Hadamard conjecture is true and an Hadamard matrix of order 4t, exists for all t ≥ 1. We use the results for the equivalent SBIBD(4t –1, 2t–1, t–1) to establish the maximum determinant or a lower bound for the maximum determinant for all ±1 matrices. In particular we give numerical results for all orders ≤100.

Citation Information
C Koukouvinos, M Mitrouli and Jennifer Seberry. "Bounds on the maximum determinant for (1,-1) matrices" (2000)
Available at: http://works.bepress.com/jseberry/63/