Information on Result #522501
There is no (12, 61, 70)-net in base 5, because extracting embedded orthogonal array would yield OA(561, 70, S5, 49), but
- the linear programming bound shows that M ≥ 191361 683443 691532 602315 419353 544712 066650 390625 / 35929 > 561 [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, 62, 70)-net in base 5 | [i] | m-Reduction | |
| 2 | No (12, 63, 70)-net in base 5 | [i] | ||
| 3 | No (12, 64, 70)-net in base 5 | [i] | ||
| 4 | No (12, 65, 70)-net in base 5 | [i] | ||
| 5 | No (12, 66, 70)-net in base 5 | [i] | ||
| 6 | No (12, 67, 70)-net in base 5 | [i] | ||
| 7 | No (12, 68, 70)-net in base 5 | [i] | ||
| 8 | No (12, 69, 70)-net in base 5 | [i] | ||
| 9 | No (12, 70, 70)-net in base 5 | [i] | ||
| 10 | No (12, 71, 70)-net in base 5 | [i] | ||
| 11 | No (12, 72, 70)-net in base 5 | [i] | ||
| 12 | No (12, 73, 70)-net in base 5 | [i] | ||
| 13 | No (12, 74, 70)-net in base 5 | [i] | ||
| 14 | No (12, 75, 70)-net in base 5 | [i] | ||
| 15 | No (12, 76, 70)-net in base 5 | [i] | ||
| 16 | No (12, 77, 70)-net in base 5 | [i] | ||
| 17 | No (12, 78, 70)-net in base 5 | [i] | ||
| 18 | No (12, 79, 70)-net in base 5 | [i] | ||
| 19 | No (12, 80, 70)-net in base 5 | [i] | ||
| 20 | No (12, 81, 70)-net in base 5 | [i] | ||
| 21 | No (12, 82, 70)-net in base 5 | [i] | ||
| 22 | No (12, 83, 70)-net in base 5 | [i] | ||
| 23 | No (12, 84, 70)-net in base 5 | [i] | ||
| 24 | No (12, 85, 70)-net in base 5 | [i] | ||
| 25 | No (12, 86, 70)-net in base 5 | [i] | ||
| 26 | No (12, 87, 70)-net in base 5 | [i] | ||
| 27 | No (12, 88, 70)-net in base 5 | [i] | ||
| 28 | No (12, 89, 70)-net in base 5 | [i] | ||
| 29 | No (12, 90, 70)-net in base 5 | [i] | ||
| 30 | No (12, 91, 70)-net in base 5 | [i] | ||
| 31 | No (12, 92, 70)-net in base 5 | [i] | ||
| 32 | No (12, 93, 70)-net in base 5 | [i] | ||
| 33 | No (12, 94, 70)-net in base 5 | [i] | ||
| 34 | No (12, 95, 70)-net in base 5 | [i] | ||
| 35 | No (12, 96, 70)-net in base 5 | [i] | ||
| 36 | No (12, 97, 70)-net in base 5 | [i] | ||
| 37 | No (12, 98, 70)-net in base 5 | [i] | ||
| 38 | No (12, 99, 70)-net in base 5 | [i] | ||
| 39 | No (12, 100, 70)-net in base 5 | [i] | ||
| 40 | No (12, 101, 70)-net in base 5 | [i] | ||
| 41 | No (12, 102, 70)-net in base 5 | [i] | ||
| 42 | No (12, 103, 70)-net in base 5 | [i] | ||
| 43 | No (12, 104, 70)-net in base 5 | [i] | ||
| 44 | No (12, 105, 70)-net in base 5 | [i] | ||
| 45 | No (12, 106, 70)-net in base 5 | [i] | ||
| 46 | No (12, 107, 70)-net in base 5 | [i] | ||
| 47 | No (12, 108, 70)-net in base 5 | [i] | ||
| 48 | No (12, 109, 70)-net in base 5 | [i] | ||
| 49 | No (12, 110, 70)-net in base 5 | [i] | ||
| 50 | No (12, 111, 70)-net in base 5 | [i] | ||
| 51 | No (12, 112, 70)-net in base 5 | [i] | ||
| 52 | No (12, 113, 70)-net in base 5 | [i] | ||
| 53 | No (12, 114, 70)-net in base 5 | [i] | ||
| 54 | No (12, 115, 70)-net in base 5 | [i] | ||
| 55 | No (12, 116, 70)-net in base 5 | [i] | ||
| 56 | No (12, 117, 70)-net in base 5 | [i] | ||
| 57 | No (12, 118, 70)-net in base 5 | [i] | ||
| 58 | No (12, 119, 70)-net in base 5 | [i] | ||
| 59 | No (12, 120, 70)-net in base 5 | [i] | ||
| 60 | No (12, 121, 70)-net in base 5 | [i] | ||
| 61 | No (12, 122, 70)-net in base 5 | [i] | ||