Information on Result #521222
There is no (23, 71, 79)-net in base 3, because extracting embedded orthogonal array would yield OA(371, 79, S3, 48), but
- the linear programming bound shows that M ≥ 31 021606 173381 243165 103883 623561 926657 / 3857 > 371 [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 (23, 72, 79)-net in base 3 | [i] | m-Reduction | |
| 2 | No (23, 73, 79)-net in base 3 | [i] | ||
| 3 | No (23, 74, 79)-net in base 3 | [i] | ||
| 4 | No (23, 75, 79)-net in base 3 | [i] | ||
| 5 | No (23, 76, 79)-net in base 3 | [i] | ||
| 6 | No (23, 77, 79)-net in base 3 | [i] | ||
| 7 | No (23, 78, 79)-net in base 3 | [i] | ||
| 8 | No (23, 79, 79)-net in base 3 | [i] | ||
| 9 | No (23, 80, 79)-net in base 3 | [i] | ||
| 10 | No (23, 81, 79)-net in base 3 | [i] | ||
| 11 | No (23, 82, 79)-net in base 3 | [i] | ||
| 12 | No (23, 83, 79)-net in base 3 | [i] | ||
| 13 | No (23, 84, 79)-net in base 3 | [i] | ||
| 14 | No (23, 85, 79)-net in base 3 | [i] | ||
| 15 | No (23, 86, 79)-net in base 3 | [i] | ||
| 16 | No (23, 87, 79)-net in base 3 | [i] | ||
| 17 | No (23, 88, 79)-net in base 3 | [i] | ||
| 18 | No (23, 89, 79)-net in base 3 | [i] | ||
| 19 | No (23, 90, 79)-net in base 3 | [i] | ||
| 20 | No (23, 91, 79)-net in base 3 | [i] | ||
| 21 | No (23, 92, 79)-net in base 3 | [i] | ||
| 22 | No (23, 93, 79)-net in base 3 | [i] | ||
| 23 | No (23, 94, 79)-net in base 3 | [i] | ||
| 24 | No (23, 95, 79)-net in base 3 | [i] | ||
| 25 | No (23, 96, 79)-net in base 3 | [i] | ||
| 26 | No (23, 97, 79)-net in base 3 | [i] | ||
| 27 | No (23, 98, 79)-net in base 3 | [i] | ||
| 28 | No (23, 99, 79)-net in base 3 | [i] | ||
| 29 | No (23, 100, 79)-net in base 3 | [i] | ||
| 30 | No (23, 101, 79)-net in base 3 | [i] | ||
| 31 | No (23, 102, 79)-net in base 3 | [i] | ||
| 32 | No (23, 103, 79)-net in base 3 | [i] | ||
| 33 | No (23, 104, 79)-net in base 3 | [i] | ||
| 34 | No (23, 105, 79)-net in base 3 | [i] | ||
| 35 | No (23, 106, 79)-net in base 3 | [i] | ||
| 36 | No (23, 107, 79)-net in base 3 | [i] | ||
| 37 | No (23, 108, 79)-net in base 3 | [i] | ||
| 38 | No (23, 109, 79)-net in base 3 | [i] | ||
| 39 | No (23, 110, 79)-net in base 3 | [i] | ||
| 40 | No (23, 111, 79)-net in base 3 | [i] | ||
| 41 | No (23, 112, 79)-net in base 3 | [i] | ||
| 42 | No (23, 113, 79)-net in base 3 | [i] | ||
| 43 | No (23, 114, 79)-net in base 3 | [i] | ||
| 44 | No (23, 115, 79)-net in base 3 | [i] | ||
| 45 | No (23, 116, 79)-net in base 3 | [i] | ||
| 46 | No (23, 117, 79)-net in base 3 | [i] | ||