Information on Result #521192
There is no (21, 63, 74)-net in base 3, because extracting embedded orthogonal array would yield OA(363, 74, S3, 42), but
- the linear programming bound shows that M ≥ 12 034337 282839 174538 591498 251772 066709 / 10 069525 > 363 [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 (21, 64, 74)-net in base 3 | [i] | m-Reduction | |
| 2 | No (21, 65, 74)-net in base 3 | [i] | ||
| 3 | No (21, 66, 74)-net in base 3 | [i] | ||
| 4 | No (21, 67, 74)-net in base 3 | [i] | ||
| 5 | No (21, 68, 74)-net in base 3 | [i] | ||
| 6 | No (21, 69, 74)-net in base 3 | [i] | ||
| 7 | No (21, 70, 74)-net in base 3 | [i] | ||
| 8 | No (21, 71, 74)-net in base 3 | [i] | ||
| 9 | No (21, 72, 74)-net in base 3 | [i] | ||
| 10 | No (21, 73, 74)-net in base 3 | [i] | ||
| 11 | No (21, 74, 74)-net in base 3 | [i] | ||
| 12 | No (21, 75, 74)-net in base 3 | [i] | ||
| 13 | No (21, 76, 74)-net in base 3 | [i] | ||
| 14 | No (21, 77, 74)-net in base 3 | [i] | ||
| 15 | No (21, 78, 74)-net in base 3 | [i] | ||
| 16 | No (21, 79, 74)-net in base 3 | [i] | ||
| 17 | No (21, 80, 74)-net in base 3 | [i] | ||
| 18 | No (21, 81, 74)-net in base 3 | [i] | ||
| 19 | No (21, 82, 74)-net in base 3 | [i] | ||
| 20 | No (21, 83, 74)-net in base 3 | [i] | ||
| 21 | No (21, 84, 74)-net in base 3 | [i] | ||
| 22 | No (21, 85, 74)-net in base 3 | [i] | ||
| 23 | No (21, 86, 74)-net in base 3 | [i] | ||
| 24 | No (21, 87, 74)-net in base 3 | [i] | ||
| 25 | No (21, 88, 74)-net in base 3 | [i] | ||
| 26 | No (21, 89, 74)-net in base 3 | [i] | ||
| 27 | No (21, 90, 74)-net in base 3 | [i] | ||
| 28 | No (21, 91, 74)-net in base 3 | [i] | ||
| 29 | No (21, 92, 74)-net in base 3 | [i] | ||
| 30 | No (21, 93, 74)-net in base 3 | [i] | ||
| 31 | No (21, 94, 74)-net in base 3 | [i] | ||
| 32 | No (21, 95, 74)-net in base 3 | [i] | ||
| 33 | No (21, 96, 74)-net in base 3 | [i] | ||
| 34 | No (21, 97, 74)-net in base 3 | [i] | ||
| 35 | No (21, 98, 74)-net in base 3 | [i] | ||
| 36 | No (21, 99, 74)-net in base 3 | [i] | ||
| 37 | No (21, 100, 74)-net in base 3 | [i] | ||
| 38 | No (21, 101, 74)-net in base 3 | [i] | ||
| 39 | No (21, 102, 74)-net in base 3 | [i] | ||
| 40 | No (21, 103, 74)-net in base 3 | [i] | ||
| 41 | No (21, 104, 74)-net in base 3 | [i] | ||
| 42 | No (21, 105, 74)-net in base 3 | [i] | ||
| 43 | No (21, 106, 74)-net in base 3 | [i] | ||
| 44 | No (21, 107, 74)-net in base 3 | [i] | ||
| 45 | No (21, 108, 74)-net in base 3 | [i] | ||
| 46 | No (21, 109, 74)-net in base 3 | [i] | ||