Information on Result #521665
There is no (65, 204, 209)-net in base 3, because extracting embedded orthogonal array would yield OA(3204, 209, S3, 139), but
- the (dual) Plotkin bound shows that M ≥ 1742 693381 014614 361631 744253 876750 131626 600682 858921 288089 186323 970185 832803 443622 626158 010427 690561 / 70 > 3204 [i]
Mode: Bound.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No (65, 205, 209)-net in base 3 | [i] | m-Reduction | |
| 2 | No (65, 206, 209)-net in base 3 | [i] | ||
| 3 | No (65, 207, 209)-net in base 3 | [i] | ||
| 4 | No (65, 208, 209)-net in base 3 | [i] | ||
| 5 | No (65, 209, 209)-net in base 3 | [i] | ||
| 6 | No (65, 210, 209)-net in base 3 | [i] | ||
| 7 | No (65, 211, 209)-net in base 3 | [i] | ||
| 8 | No (65, 212, 209)-net in base 3 | [i] | ||
| 9 | No (65, 213, 209)-net in base 3 | [i] | ||
| 10 | No (65, 214, 209)-net in base 3 | [i] | ||
| 11 | No (65, 215, 209)-net in base 3 | [i] | ||
| 12 | No (65, 216, 209)-net in base 3 | [i] | ||
| 13 | No (65, 217, 209)-net in base 3 | [i] | ||
| 14 | No (65, 218, 209)-net in base 3 | [i] | ||
| 15 | No (65, 219, 209)-net in base 3 | [i] | ||
| 16 | No (65, 220, 209)-net in base 3 | [i] | ||
| 17 | No (65, 221, 209)-net in base 3 | [i] | ||
| 18 | No (65, 222, 209)-net in base 3 | [i] | ||
| 19 | No (65, 223, 209)-net in base 3 | [i] | ||
| 20 | No (65, 224, 209)-net in base 3 | [i] | ||
| 21 | No (65, 225, 209)-net in base 3 | [i] | ||
| 22 | No (65, 226, 209)-net in base 3 | [i] | ||
| 23 | No (65, 227, 209)-net in base 3 | [i] | ||
| 24 | No (65, 228, 209)-net in base 3 | [i] | ||
| 25 | No (65, 229, 209)-net in base 3 | [i] | ||
| 26 | No (65, 230, 209)-net in base 3 | [i] | ||
| 27 | No (65, 231, 209)-net in base 3 | [i] | ||
| 28 | No (65, 232, 209)-net in base 3 | [i] | ||
| 29 | No (65, 233, 209)-net in base 3 | [i] | ||
| 30 | No (65, 234, 209)-net in base 3 | [i] | ||
| 31 | No (65, 235, 209)-net in base 3 | [i] | ||
| 32 | No (65, 236, 209)-net in base 3 | [i] | ||
| 33 | No (65, 237, 209)-net in base 3 | [i] | ||
| 34 | No (65, 238, 209)-net in base 3 | [i] | ||
| 35 | No (65, 239, 209)-net in base 3 | [i] | ||
| 36 | No (65, 240, 209)-net in base 3 | [i] | ||
| 37 | No (65, 241, 209)-net in base 3 | [i] | ||
| 38 | No (65, 242, 209)-net in base 3 | [i] | ||
| 39 | No (65, 243, 209)-net in base 3 | [i] | ||
| 40 | No (65, 244, 209)-net in base 3 | [i] | ||
| 41 | No (65, 245, 209)-net in base 3 | [i] | ||
| 42 | No (65, 246, 209)-net in base 3 | [i] | ||
| 43 | No (65, 247, 209)-net in base 3 | [i] | ||
| 44 | No (65, 248, 209)-net in base 3 | [i] | ||
| 45 | No (65, 249, 209)-net in base 3 | [i] | ||
| 46 | No (65, 250, 209)-net in base 3 | [i] | ||