A new construction for Williamson-type matrices |
| |
Authors: | Jennifer Seberry |
| |
Affiliation: | 1. Department of Computer Science, University of Sydney, 2006, N.S.W., Australia
|
| |
Abstract: | It is shown that ifq is a prime power then there are Williamson-type matrices of order - 1/2q 2(q + 1) whenq ≡ 1 (mod 4).
- 1/4q 2(q + 1) whenq ≡ 3 (mod 4) and there are Williamson-type matrices of order 1/4(q + 1).
This gives Williamson-type matrices for the new orders 363, 1183, 1805, 2601, 3174, 5103. The construction can be combined with known results on orthogonal designs to give an Hadamard matrix of the new order 33396 = 4 ? 8349. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|