Some New Orders of Hadamard and Skew-Hadamard Matrices
Version of Record online: 12 JUN 2013
© 2013 Wiley Periodicals, Inc.
Journal of Combinatorial Designs
Volume 22, Issue 6, pages 270–277, June 2014
How to Cite
Đoković, D. Ž., Golubitsky, O. and Kotsireas, I. S. (2014), Some New Orders of Hadamard and Skew-Hadamard Matrices. J. Combin. Designs, 22: 270–277. doi: 10.1002/jcd.21358
- Issue online: 1 APR 2014
- Version of Record online: 12 JUN 2013
- Manuscript Revised: 14 MAY 2013
- Manuscript Received: 30 DEC 2012
- Hadamard matrices;
- supplementary difference sets;
We construct Hadamard matrices of orders and , and skew-Hadamard matrices of orders and . 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.