On the existence of cyclic difference sets with small parameters
| dc.creator | Baumert, Leonard D. | |
| dc.creator | Gordon, Daniel M. | |
| dc.date | 2003-04-30 | |
| dc.date.accessioned | 2026-07-07T04:57:37Z | |
| dc.date.available | 2026-07-07T04:57:37Z | |
| dc.description | 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. | |
| dc.description | 8 pages. To appear, Proceedings of Fields Institute conference in number theory in honor of Hugh Williams | |
| dc.identifier | https://arxiv.org/abs/math/0304502 | |
| dc.identifier | http://arxiv.org/abs/math/0304502 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67324 | |
| dc.subject | Combinatorics | |
| dc.subject | 05B10 | |
| dc.title | On the existence of cyclic difference sets with small parameters | |
| dc.type | text |