Some new orders of Hadamard and skew-Hadamard matrices
Combinatorics
2014-06-13 v2
Abstract
We construct Hadamard matrices of orders 4x251 = 1004 and 4x631 = 2524, and skew-Hadamard matrices of orders 4x213 = 852 and 4x631 = 2524. As far as we know, such matrices have not been constructed previously. The constructions use the Goethals-Seidel array, suitable supplementary difference sets on a cyclic group and a new efficient matching algorithm based on hashing techniques.
Keywords
Cite
@article{arxiv.1301.3671,
title = {Some new orders of Hadamard and skew-Hadamard matrices},
author = {Dragomir Z. Djokovic and Oleg Golubitsky and Ilias S. Kotsireas},
journal= {arXiv preprint arXiv:1301.3671},
year = {2014}
}
Comments
8 pages