Skew Hadamard difference sets from the Ree-Tits slice symplectic spreads in PG(3,3^{2h+1})
| dc.creator | Ding, Cunsheng | |
| dc.creator | Wang, Zeying | |
| dc.creator | Xiang, Qing | |
| dc.date | 2006-09-21 | |
| dc.date.accessioned | 2026-07-07T07:25:02Z | |
| dc.date.available | 2026-07-07T07:25:02Z | |
| dc.description | Using a class of permutation polynomials of $F_{3^{2h+1}}$ obtained from the Ree-Tits symplectic spreads in $PG(3,3^{2h+1})$, we construct a family of skew Hadamard difference sets in the additive group of $F_{3^{2h+1}}$. With the help of a computer, we show that these skew Hadamard difference sets are new when $h=2$ and $h=3$. We conjecture that they are always new when $h>3$. Furthermore, we present a variation of the classical construction of the twin prime power difference sets, and show that inequivalent skew Hadamard difference sets lead to inequivalent difference sets with twin prime power parameters. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/math/0609586 | |
| dc.identifier | http://arxiv.org/abs/math/0609586 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116595 | |
| dc.subject | Combinatorics | |
| dc.subject | 05B10 | |
| dc.title | Skew Hadamard difference sets from the Ree-Tits slice symplectic spreads in PG(3,3^{2h+1}) | |
| dc.type | text |