Information on Result #521166
There is no (19, 60, 67)-net in base 3, because extracting embedded orthogonal array would yield OA(360, 67, S3, 41), but
- the linear programming bound shows that M ≥ 367 404168 771298 835858 389852 553067 / 8575 > 360 [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 (19, 61, 67)-net in base 3 | [i] | m-Reduction | |
| 2 | No (19, 62, 67)-net in base 3 | [i] | ||
| 3 | No (19, 63, 67)-net in base 3 | [i] | ||
| 4 | No (19, 64, 67)-net in base 3 | [i] | ||
| 5 | No (19, 65, 67)-net in base 3 | [i] | ||
| 6 | No (19, 66, 67)-net in base 3 | [i] | ||
| 7 | No (19, 67, 67)-net in base 3 | [i] | ||
| 8 | No (19, 68, 67)-net in base 3 | [i] | ||
| 9 | No (19, 69, 67)-net in base 3 | [i] | ||
| 10 | No (19, 70, 67)-net in base 3 | [i] | ||
| 11 | No (19, 71, 67)-net in base 3 | [i] | ||
| 12 | No (19, 72, 67)-net in base 3 | [i] | ||
| 13 | No (19, 73, 67)-net in base 3 | [i] | ||
| 14 | No (19, 74, 67)-net in base 3 | [i] | ||
| 15 | No (19, 75, 67)-net in base 3 | [i] | ||
| 16 | No (19, 76, 67)-net in base 3 | [i] | ||
| 17 | No (19, 77, 67)-net in base 3 | [i] | ||
| 18 | No (19, 78, 67)-net in base 3 | [i] | ||
| 19 | No (19, 79, 67)-net in base 3 | [i] | ||
| 20 | No (19, 80, 67)-net in base 3 | [i] | ||
| 21 | No (19, 81, 67)-net in base 3 | [i] | ||
| 22 | No (19, 82, 67)-net in base 3 | [i] | ||
| 23 | No (19, 83, 67)-net in base 3 | [i] | ||
| 24 | No (19, 84, 67)-net in base 3 | [i] | ||
| 25 | No (19, 85, 67)-net in base 3 | [i] | ||
| 26 | No (19, 86, 67)-net in base 3 | [i] | ||
| 27 | No (19, 87, 67)-net in base 3 | [i] | ||
| 28 | No (19, 88, 67)-net in base 3 | [i] | ||
| 29 | No (19, 89, 67)-net in base 3 | [i] | ||
| 30 | No (19, 90, 67)-net in base 3 | [i] | ||
| 31 | No (19, 91, 67)-net in base 3 | [i] | ||
| 32 | No (19, 92, 67)-net in base 3 | [i] | ||
| 33 | No (19, 93, 67)-net in base 3 | [i] | ||
| 34 | No (19, 94, 67)-net in base 3 | [i] | ||
| 35 | No (19, 95, 67)-net in base 3 | [i] | ||
| 36 | No (19, 96, 67)-net in base 3 | [i] | ||
| 37 | No (19, 97, 67)-net in base 3 | [i] | ||
| 38 | No (19, 98, 67)-net in base 3 | [i] | ||
| 39 | No (19, 99, 67)-net in base 3 | [i] | ||