Williamson matrices up to order 59 |
| |
| Authors: | W H Holzmann H Kharaghani B Tayfeh-Rezaie |
| |
| Institution: | (1) Department of Mathematics and Computer Science, University of Lethbridge, Lethbridge, Alberta, Canada, T1K 3M4;(2) Institute for Studies in Theoretical Physics and Mathematics (IPM), P.O. Box 19395-5746, Tehran, Iran |
| |
| Abstract: | A recent result of Schmidt has brought Williamson matrices back into the spotlight. In this article, a new algorithm is introduced
to search for hard to find Williamson matrices. We find all nonequivalent Williamson matrices of odd order n up to n = 59. It turns out that there are none for n = 35, 47, 53, 59 and it seems that the Turyn class may be the only infinite class of these matrices.
|
| |
| Keywords: | Symmetric circulant matrices Williamson matrices Hadamard matrices |
| 本文献已被 SpringerLink 等数据库收录！ |
|
