Information on Result #521879
There is no (13, 56, 62)-net in base 4, because extracting embedded orthogonal array would yield OA(456, 62, S4, 43), but
- the linear programming bound shows that M ≥ 26 916866 914644 546426 302092 970676 977664 / 4675 > 456 [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 (13, 57, 62)-net in base 4 | [i] | m-Reduction | |
| 2 | No (13, 58, 62)-net in base 4 | [i] | ||
| 3 | No (13, 59, 62)-net in base 4 | [i] | ||
| 4 | No (13, 60, 62)-net in base 4 | [i] | ||
| 5 | No (13, 61, 62)-net in base 4 | [i] | ||
| 6 | No (13, 62, 62)-net in base 4 | [i] | ||
| 7 | No (13, 63, 62)-net in base 4 | [i] | ||
| 8 | No (13, 64, 62)-net in base 4 | [i] | ||
| 9 | No (13, 65, 62)-net in base 4 | [i] | ||
| 10 | No (13, 66, 62)-net in base 4 | [i] | ||
| 11 | No (13, 67, 62)-net in base 4 | [i] | ||
| 12 | No (13, 68, 62)-net in base 4 | [i] | ||
| 13 | No (13, 69, 62)-net in base 4 | [i] | ||
| 14 | No (13, 70, 62)-net in base 4 | [i] | ||
| 15 | No (13, 71, 62)-net in base 4 | [i] | ||
| 16 | No (13, 72, 62)-net in base 4 | [i] | ||
| 17 | No (13, 73, 62)-net in base 4 | [i] | ||
| 18 | No (13, 74, 62)-net in base 4 | [i] | ||
| 19 | No (13, 75, 62)-net in base 4 | [i] | ||
| 20 | No (13, 76, 62)-net in base 4 | [i] | ||
| 21 | No (13, 77, 62)-net in base 4 | [i] | ||
| 22 | No (13, 78, 62)-net in base 4 | [i] | ||
| 23 | No (13, 79, 62)-net in base 4 | [i] | ||
| 24 | No (13, 80, 62)-net in base 4 | [i] | ||
| 25 | No (13, 81, 62)-net in base 4 | [i] | ||
| 26 | No (13, 82, 62)-net in base 4 | [i] | ||
| 27 | No (13, 83, 62)-net in base 4 | [i] | ||
| 28 | No (13, 84, 62)-net in base 4 | [i] | ||
| 29 | No (13, 85, 62)-net in base 4 | [i] | ||
| 30 | No (13, 86, 62)-net in base 4 | [i] | ||
| 31 | No (13, 87, 62)-net in base 4 | [i] | ||
| 32 | No (13, 88, 62)-net in base 4 | [i] | ||
| 33 | No (13, 89, 62)-net in base 4 | [i] | ||
| 34 | No (13, 90, 62)-net in base 4 | [i] | ||
| 35 | No (13, 91, 62)-net in base 4 | [i] | ||
| 36 | No (13, 92, 62)-net in base 4 | [i] | ||
| 37 | No (13, 93, 62)-net in base 4 | [i] | ||
| 38 | No (13, 94, 62)-net in base 4 | [i] | ||
| 39 | No (13, 95, 62)-net in base 4 | [i] | ||
| 40 | No (13, 96, 62)-net in base 4 | [i] | ||
| 41 | No (13, 97, 62)-net in base 4 | [i] | ||
| 42 | No (13, 98, 62)-net in base 4 | [i] | ||
| 43 | No (13, 99, 62)-net in base 4 | [i] | ||
| 44 | No (13, 100, 62)-net in base 4 | [i] | ||