Article
Bounds on the maximum determinant for (1,-1) matrices
Faculty of Informatics - Papers (Archive)
RIS ID
4604
Publication Date
1-1-2000
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.
Disciplines
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/361/
C. Koukouvinos, M. Mitrouli and Jennifer Seberry, Bounds on the maximum determinant for (1,-1) matrices. Bulletin of the Institute of Combinatorics and its applications, 29, (2000), 39-48. ISSN 1183-1278.