Document Type
Journal Article
RIS ID
13269
Citation
Mingyuan, Xia; Xia, Tianbing; and Seberry, Jennifer, 2005, A new method for constructing Williamson matrices, Design, Codes and Cryptography, 35(2), 191-209.
http://ro.uow.edu.au/era/2147
Abstract
For every prime power q ≡1 (mod 4) we prove the existence of (q; x, y)-partitions of GF(q) with q =x2 +4y2 for some x, y, which are very useful for constructing SDS, DS and Hadamard matrices. We discuss the transformations of (q; x, y)-partitions and, by using the partitions, construct generalized cyclotomic classes which have properties similar to those of classical cyclotomic classes. Thus we provide a new construction for Williamson matrices of order q2.
COinS