Information on Result #521207
There is no (22, 68, 76)-net in base 3, because extracting embedded orthogonal array would yield OA(368, 76, S3, 46), but
- the linear programming bound shows that M ≥ 1 013777 979522 262848 532806 654364 768845 / 3619 > 368 [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 (22, 69, 76)-net in base 3 | [i] | m-Reduction | |
| 2 | No (22, 70, 76)-net in base 3 | [i] | ||
| 3 | No (22, 71, 76)-net in base 3 | [i] | ||
| 4 | No (22, 72, 76)-net in base 3 | [i] | ||
| 5 | No (22, 73, 76)-net in base 3 | [i] | ||
| 6 | No (22, 74, 76)-net in base 3 | [i] | ||
| 7 | No (22, 75, 76)-net in base 3 | [i] | ||
| 8 | No (22, 76, 76)-net in base 3 | [i] | ||
| 9 | No (22, 77, 76)-net in base 3 | [i] | ||
| 10 | No (22, 78, 76)-net in base 3 | [i] | ||
| 11 | No (22, 79, 76)-net in base 3 | [i] | ||
| 12 | No (22, 80, 76)-net in base 3 | [i] | ||
| 13 | No (22, 81, 76)-net in base 3 | [i] | ||
| 14 | No (22, 82, 76)-net in base 3 | [i] | ||
| 15 | No (22, 83, 76)-net in base 3 | [i] | ||
| 16 | No (22, 84, 76)-net in base 3 | [i] | ||
| 17 | No (22, 85, 76)-net in base 3 | [i] | ||
| 18 | No (22, 86, 76)-net in base 3 | [i] | ||
| 19 | No (22, 87, 76)-net in base 3 | [i] | ||
| 20 | No (22, 88, 76)-net in base 3 | [i] | ||
| 21 | No (22, 89, 76)-net in base 3 | [i] | ||
| 22 | No (22, 90, 76)-net in base 3 | [i] | ||
| 23 | No (22, 91, 76)-net in base 3 | [i] | ||
| 24 | No (22, 92, 76)-net in base 3 | [i] | ||
| 25 | No (22, 93, 76)-net in base 3 | [i] | ||
| 26 | No (22, 94, 76)-net in base 3 | [i] | ||
| 27 | No (22, 95, 76)-net in base 3 | [i] | ||
| 28 | No (22, 96, 76)-net in base 3 | [i] | ||
| 29 | No (22, 97, 76)-net in base 3 | [i] | ||
| 30 | No (22, 98, 76)-net in base 3 | [i] | ||
| 31 | No (22, 99, 76)-net in base 3 | [i] | ||
| 32 | No (22, 100, 76)-net in base 3 | [i] | ||
| 33 | No (22, 101, 76)-net in base 3 | [i] | ||
| 34 | No (22, 102, 76)-net in base 3 | [i] | ||
| 35 | No (22, 103, 76)-net in base 3 | [i] | ||
| 36 | No (22, 104, 76)-net in base 3 | [i] | ||
| 37 | No (22, 105, 76)-net in base 3 | [i] | ||
| 38 | No (22, 106, 76)-net in base 3 | [i] | ||
| 39 | No (22, 107, 76)-net in base 3 | [i] | ||
| 40 | No (22, 108, 76)-net in base 3 | [i] | ||
| 41 | No (22, 109, 76)-net in base 3 | [i] | ||
| 42 | No (22, 110, 76)-net in base 3 | [i] | ||
| 43 | No (22, 111, 76)-net in base 3 | [i] | ||
| 44 | No (22, 112, 76)-net in base 3 | [i] | ||
| 45 | No (22, 113, 76)-net in base 3 | [i] | ||