Information on Result #521180
There is no (20, 63, 71)-net in base 3, because extracting embedded orthogonal array would yield OA(363, 71, S3, 43), but
- the linear programming bound shows that M ≥ 16965 831756 065304 186694 432350 137421 / 9724 > 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 (20, 64, 71)-net in base 3 | [i] | m-Reduction | |
| 2 | No (20, 65, 71)-net in base 3 | [i] | ||
| 3 | No (20, 66, 71)-net in base 3 | [i] | ||
| 4 | No (20, 67, 71)-net in base 3 | [i] | ||
| 5 | No (20, 68, 71)-net in base 3 | [i] | ||
| 6 | No (20, 69, 71)-net in base 3 | [i] | ||
| 7 | No (20, 70, 71)-net in base 3 | [i] | ||
| 8 | No (20, 71, 71)-net in base 3 | [i] | ||
| 9 | No (20, 72, 71)-net in base 3 | [i] | ||
| 10 | No (20, 73, 71)-net in base 3 | [i] | ||
| 11 | No (20, 74, 71)-net in base 3 | [i] | ||
| 12 | No (20, 75, 71)-net in base 3 | [i] | ||
| 13 | No (20, 76, 71)-net in base 3 | [i] | ||
| 14 | No (20, 77, 71)-net in base 3 | [i] | ||
| 15 | No (20, 78, 71)-net in base 3 | [i] | ||
| 16 | No (20, 79, 71)-net in base 3 | [i] | ||
| 17 | No (20, 80, 71)-net in base 3 | [i] | ||
| 18 | No (20, 81, 71)-net in base 3 | [i] | ||
| 19 | No (20, 82, 71)-net in base 3 | [i] | ||
| 20 | No (20, 83, 71)-net in base 3 | [i] | ||
| 21 | No (20, 84, 71)-net in base 3 | [i] | ||
| 22 | No (20, 85, 71)-net in base 3 | [i] | ||
| 23 | No (20, 86, 71)-net in base 3 | [i] | ||
| 24 | No (20, 87, 71)-net in base 3 | [i] | ||
| 25 | No (20, 88, 71)-net in base 3 | [i] | ||
| 26 | No (20, 89, 71)-net in base 3 | [i] | ||
| 27 | No (20, 90, 71)-net in base 3 | [i] | ||
| 28 | No (20, 91, 71)-net in base 3 | [i] | ||
| 29 | No (20, 92, 71)-net in base 3 | [i] | ||
| 30 | No (20, 93, 71)-net in base 3 | [i] | ||
| 31 | No (20, 94, 71)-net in base 3 | [i] | ||
| 32 | No (20, 95, 71)-net in base 3 | [i] | ||
| 33 | No (20, 96, 71)-net in base 3 | [i] | ||
| 34 | No (20, 97, 71)-net in base 3 | [i] | ||
| 35 | No (20, 98, 71)-net in base 3 | [i] | ||
| 36 | No (20, 99, 71)-net in base 3 | [i] | ||
| 37 | No (20, 100, 71)-net in base 3 | [i] | ||
| 38 | No (20, 101, 71)-net in base 3 | [i] | ||
| 39 | No (20, 102, 71)-net in base 3 | [i] | ||
| 40 | No (20, 103, 71)-net in base 3 | [i] | ||
| 41 | No (20, 104, 71)-net in base 3 | [i] | ||