Information on Result #523041
There is no (12, 81, 92)-net in base 7, because extracting embedded orthogonal array would yield OA(781, 92, S7, 69), but
- the linear programming bound shows that M ≥ 864 559770 761790 045338 407853 839994 667208 992212 813032 556141 743602 440684 512083 / 2 553125 > 781 [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 (12, 82, 92)-net in base 7 | [i] | m-Reduction | |
| 2 | No (12, 83, 92)-net in base 7 | [i] | ||
| 3 | No (12, 84, 92)-net in base 7 | [i] | ||
| 4 | No (12, 85, 92)-net in base 7 | [i] | ||
| 5 | No (12, 86, 92)-net in base 7 | [i] | ||
| 6 | No (12, 87, 92)-net in base 7 | [i] | ||
| 7 | No (12, 88, 92)-net in base 7 | [i] | ||
| 8 | No (12, 89, 92)-net in base 7 | [i] | ||
| 9 | No (12, 90, 92)-net in base 7 | [i] | ||
| 10 | No (12, 91, 92)-net in base 7 | [i] | ||
| 11 | No (12, 92, 92)-net in base 7 | [i] | ||
| 12 | No (12, 93, 92)-net in base 7 | [i] | ||
| 13 | No (12, 94, 92)-net in base 7 | [i] | ||
| 14 | No (12, 95, 92)-net in base 7 | [i] | ||
| 15 | No (12, 96, 92)-net in base 7 | [i] | ||
| 16 | No (12, 97, 92)-net in base 7 | [i] | ||
| 17 | No (12, 98, 92)-net in base 7 | [i] | ||
| 18 | No (12, 99, 92)-net in base 7 | [i] | ||
| 19 | No (12, 100, 92)-net in base 7 | [i] | ||
| 20 | No (12, 101, 92)-net in base 7 | [i] | ||
| 21 | No (12, 102, 92)-net in base 7 | [i] | ||
| 22 | No (12, 103, 92)-net in base 7 | [i] | ||
| 23 | No (12, 104, 92)-net in base 7 | [i] | ||
| 24 | No (12, 105, 92)-net in base 7 | [i] | ||
| 25 | No (12, 106, 92)-net in base 7 | [i] | ||
| 26 | No (12, 107, 92)-net in base 7 | [i] | ||
| 27 | No (12, 108, 92)-net in base 7 | [i] | ||
| 28 | No (12, 109, 92)-net in base 7 | [i] | ||
| 29 | No (12, 110, 92)-net in base 7 | [i] | ||