Name
Abstract | ||
|---|---|---|
A directed triplewhist tournament on p players over Z(p) is said to have the three-person property if no two games in the tournament have three common players. We briefly denote such a design as a 3PDTWh( p). In this paper, we investigate the existence of a Z-cyclic 3PDTWh(p) for any prime p equivalent to 1 (mod 4) and show that such a design exists whenever p equivalent to 5, 9, 13 (mod 16) and p >= 29. This result is obtained by applying Weil's theorem. In addition, we also prove that a Z-cyclic 3PDTWh( p) exists whenever p equivalent to 1 (mod 16) and p < 10,000 except possibly for p = 257,769. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1007/s10623-007-9103-4 | DESIGNS CODES AND CRYPTOGRAPHY |
Keywords | DocType | Volume |
Weil theorem, Whist tournament, Z-cyclic, 3PDTWh | Journal | 45 |
Issue | ISSN | Citations |
1 | 0925-1022 | 0 |
PageRank | References | Authors |
0.34 | 14 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xiande Zhang | 1 | 52 | 15.19 |
| Gennian Ge | 2 | 904 | 95.51 |