Information on Result #521154
There is no (18, 57, 64)-net in base 3, because extracting embedded orthogonal array would yield OA(357, 64, S3, 39), but
- the linear programming bound shows that M ≥ 381520 424476 945831 628649 898809 / 235 > 357 [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 (18, 58, 64)-net in base 3 | [i] | m-Reduction | |
| 2 | No (18, 59, 64)-net in base 3 | [i] | ||
| 3 | No (18, 60, 64)-net in base 3 | [i] | ||
| 4 | No (18, 61, 64)-net in base 3 | [i] | ||
| 5 | No (18, 62, 64)-net in base 3 | [i] | ||
| 6 | No (18, 63, 64)-net in base 3 | [i] | ||
| 7 | No (18, 64, 64)-net in base 3 | [i] | ||
| 8 | No (18, 65, 64)-net in base 3 | [i] | ||
| 9 | No (18, 66, 64)-net in base 3 | [i] | ||
| 10 | No (18, 67, 64)-net in base 3 | [i] | ||
| 11 | No (18, 68, 64)-net in base 3 | [i] | ||
| 12 | No (18, 69, 64)-net in base 3 | [i] | ||
| 13 | No (18, 70, 64)-net in base 3 | [i] | ||
| 14 | No (18, 71, 64)-net in base 3 | [i] | ||
| 15 | No (18, 72, 64)-net in base 3 | [i] | ||
| 16 | No (18, 73, 64)-net in base 3 | [i] | ||
| 17 | No (18, 74, 64)-net in base 3 | [i] | ||
| 18 | No (18, 75, 64)-net in base 3 | [i] | ||
| 19 | No (18, 76, 64)-net in base 3 | [i] | ||
| 20 | No (18, 77, 64)-net in base 3 | [i] | ||
| 21 | No (18, 78, 64)-net in base 3 | [i] | ||
| 22 | No (18, 79, 64)-net in base 3 | [i] | ||
| 23 | No (18, 80, 64)-net in base 3 | [i] | ||
| 24 | No (18, 81, 64)-net in base 3 | [i] | ||
| 25 | No (18, 82, 64)-net in base 3 | [i] | ||
| 26 | No (18, 83, 64)-net in base 3 | [i] | ||
| 27 | No (18, 84, 64)-net in base 3 | [i] | ||
| 28 | No (18, 85, 64)-net in base 3 | [i] | ||
| 29 | No (18, 86, 64)-net in base 3 | [i] | ||
| 30 | No (18, 87, 64)-net in base 3 | [i] | ||
| 31 | No (18, 88, 64)-net in base 3 | [i] | ||
| 32 | No (18, 89, 64)-net in base 3 | [i] | ||
| 33 | No (18, 90, 64)-net in base 3 | [i] | ||
| 34 | No (18, 91, 64)-net in base 3 | [i] | ||
| 35 | No (18, 92, 64)-net in base 3 | [i] | ||
| 36 | No (18, 93, 64)-net in base 3 | [i] | ||
| 37 | No (18, 94, 64)-net in base 3 | [i] | ||
| 38 | No (18, 95, 64)-net in base 3 | [i] | ||