Article
A Search for Hadamard Matrices constructed from Williamson Matrices
Faculty of Informatics - Papers (Archive)
RIS ID
7790
Publication Date
1-5-2002
Publication Details
This article was originally published as Horton, J, Koukouvinos, C and Seberry, J, A Search for Hadamard Matrices constructed from Williamson Matrices, Bulletin of the Institute of Combinatorics and its Applications (ICA), 35, 2002, 75-88.
Abstract
We describe the implementation of a distributed computer search that uses Williamson's construction for Hadamard matrices. The search program is used to perform a complete search for matrices of orders 100 through 148. No new results are found, confirming existing results. We are convinced that no further matrices of any order less than 156 may be constructed. For reference purposes, we present tables of Hadamard matrices of orders 100 through 180 constructed using four circulant symmetric (1, -1) matrices in the Williamson array.
Disciplines
Citation Information
J. Horton, C. Koukouvinos and Jennifer Seberry. "A Search for Hadamard Matrices constructed from Williamson Matrices" (2002) Available at: http://works.bepress.com/jseberry/56/