On the existence of cyclic difference sets with small parameters
Combinatorics
2007-05-23 v1
Abstract
Previous surveys by Baumert and Lopez and Sanchez have resolved the existence of cyclic (v,k,lambda) difference sets with k <= 150, except for six open cases. In this paper we show that four of those difference sets do not exist. We also look at the existence of difference sets with k <= 300 and cyclic Hadamard difference sets with v <= 10,000. Finally, we extend an earlier search of the second author to show that no cyclic projective planes exist with non-prime power orders up to two billion.
Cite
@article{arxiv.math/0304502,
title = {On the existence of cyclic difference sets with small parameters},
author = {Leonard D. Baumert and Daniel M. Gordon},
journal= {arXiv preprint arXiv:math/0304502},
year = {2007}
}
Comments
8 pages. To appear, Proceedings of Fields Institute conference in number theory in honor of Hugh Williams