English

Skew-Hadamard matrices of orders 436, 580 and 988 exist

Combinatorics 2009-03-18 v1

Abstract

We construct two difference families on each of the cyclic groups of order 109, 145 and 247, and use them to construct skew-Hadamard matrices of orders 436, 580 and 988. Such difference families and matrices are constructed here for the first time. The matrices are constructed by using the Goethals-Seidel array.

Keywords

Cite

@article{arxiv.0706.1973,
  title  = {Skew-Hadamard matrices of orders 436, 580 and 988 exist},
  author = {Dragomir Z. Djokovic},
  journal= {arXiv preprint arXiv:0706.1973},
  year   = {2009}
}

Comments

12 pages, no figures