Information on Result #522939
There is no (8, 57, 67)-net in base 7, because extracting embedded orthogonal array would yield OA(757, 67, S7, 49), but
- the linear programming bound shows that M ≥ 14 690613 296110 757318 840379 593851 330929 325424 135975 451203 / 9 440000 > 757 [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 (8, 58, 67)-net in base 7 | [i] | m-Reduction | |
| 2 | No (8, 59, 67)-net in base 7 | [i] | ||
| 3 | No (8, 60, 67)-net in base 7 | [i] | ||
| 4 | No (8, 61, 67)-net in base 7 | [i] | ||
| 5 | No (8, 62, 67)-net in base 7 | [i] | ||
| 6 | No (8, 63, 67)-net in base 7 | [i] | ||
| 7 | No (8, 64, 67)-net in base 7 | [i] | ||
| 8 | No (8, 65, 67)-net in base 7 | [i] | ||
| 9 | No (8, 66, 67)-net in base 7 | [i] | ||
| 10 | No (8, 67, 67)-net in base 7 | [i] | ||
| 11 | No (8, 68, 67)-net in base 7 | [i] | ||
| 12 | No (8, 69, 67)-net in base 7 | [i] | ||
| 13 | No (8, 70, 67)-net in base 7 | [i] | ||
| 14 | No (8, 71, 67)-net in base 7 | [i] | ||
| 15 | No (8, 72, 67)-net in base 7 | [i] | ||
| 16 | No (8, 73, 67)-net in base 7 | [i] | ||
| 17 | No (8, 74, 67)-net in base 7 | [i] | ||
| 18 | No (8, 75, 67)-net in base 7 | [i] | ||
| 19 | No (8, 76, 67)-net in base 7 | [i] | ||
| 20 | No (8, 77, 67)-net in base 7 | [i] | ||
| 21 | No (8, 78, 67)-net in base 7 | [i] | ||
| 22 | No (8, 79, 67)-net in base 7 | [i] | ||
| 23 | No (8, 80, 67)-net in base 7 | [i] | ||
| 24 | No (8, 81, 67)-net in base 7 | [i] | ||
| 25 | No (8, 82, 67)-net in base 7 | [i] | ||
| 26 | No (8, 83, 67)-net in base 7 | [i] | ||
| 27 | No (8, 84, 67)-net in base 7 | [i] | ||
| 28 | No (8, 85, 67)-net in base 7 | [i] | ||
| 29 | No (8, 86, 67)-net in base 7 | [i] | ||
| 30 | No (8, 87, 67)-net in base 7 | [i] | ||
| 31 | No (8, 88, 67)-net in base 7 | [i] | ||
| 32 | No (8, 89, 67)-net in base 7 | [i] | ||
| 33 | No (8, 90, 67)-net in base 7 | [i] | ||
| 34 | No (8, 91, 67)-net in base 7 | [i] | ||
| 35 | No (8, 92, 67)-net in base 7 | [i] | ||
| 36 | No (8, 93, 67)-net in base 7 | [i] | ||
| 37 | No (8, 94, 67)-net in base 7 | [i] | ||
| 38 | No (8, 95, 67)-net in base 7 | [i] | ||
| 39 | No (8, 96, 67)-net in base 7 | [i] | ||
| 40 | No (8, 97, 67)-net in base 7 | [i] | ||
| 41 | No (8, 98, 67)-net in base 7 | [i] | ||
| 42 | No (8, 99, 67)-net in base 7 | [i] | ||
| 43 | No (8, 100, 67)-net in base 7 | [i] | ||
| 44 | No (8, 101, 67)-net in base 7 | [i] | ||
| 45 | No (8, 102, 67)-net in base 7 | [i] | ||
| 46 | No (8, 103, 67)-net in base 7 | [i] | ||
| 47 | No (8, 104, 67)-net in base 7 | [i] | ||
| 48 | No (8, 105, 67)-net in base 7 | [i] | ||
| 49 | No (8, 106, 67)-net in base 7 | [i] | ||
| 50 | No (8, 107, 67)-net in base 7 | [i] | ||
| 51 | No (8, 108, 67)-net in base 7 | [i] | ||
| 52 | No (8, 109, 67)-net in base 7 | [i] | ||
| 53 | No (8, 110, 67)-net in base 7 | [i] | ||