Information on Result #522452
There is no (9, 48, 56)-net in base 5, because extracting embedded orthogonal array would yield OA(548, 56, S5, 39), but
- the linear programming bound shows that M ≥ 877520 278663 723729 550838 470458 984375 / 207 > 548 [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 (9, 49, 56)-net in base 5 | [i] | m-Reduction | |
| 2 | No (9, 50, 56)-net in base 5 | [i] | ||
| 3 | No (9, 51, 56)-net in base 5 | [i] | ||
| 4 | No (9, 52, 56)-net in base 5 | [i] | ||
| 5 | No (9, 53, 56)-net in base 5 | [i] | ||
| 6 | No (9, 54, 56)-net in base 5 | [i] | ||
| 7 | No (9, 55, 56)-net in base 5 | [i] | ||
| 8 | No (9, 56, 56)-net in base 5 | [i] | ||
| 9 | No (9, 57, 56)-net in base 5 | [i] | ||
| 10 | No (9, 58, 56)-net in base 5 | [i] | ||
| 11 | No (9, 59, 56)-net in base 5 | [i] | ||
| 12 | No (9, 60, 56)-net in base 5 | [i] | ||
| 13 | No (9, 61, 56)-net in base 5 | [i] | ||
| 14 | No (9, 62, 56)-net in base 5 | [i] | ||
| 15 | No (9, 63, 56)-net in base 5 | [i] | ||
| 16 | No (9, 64, 56)-net in base 5 | [i] | ||
| 17 | No (9, 65, 56)-net in base 5 | [i] | ||
| 18 | No (9, 66, 56)-net in base 5 | [i] | ||
| 19 | No (9, 67, 56)-net in base 5 | [i] | ||
| 20 | No (9, 68, 56)-net in base 5 | [i] | ||
| 21 | No (9, 69, 56)-net in base 5 | [i] | ||
| 22 | No (9, 70, 56)-net in base 5 | [i] | ||
| 23 | No (9, 71, 56)-net in base 5 | [i] | ||
| 24 | No (9, 72, 56)-net in base 5 | [i] | ||
| 25 | No (9, 73, 56)-net in base 5 | [i] | ||
| 26 | No (9, 74, 56)-net in base 5 | [i] | ||
| 27 | No (9, 75, 56)-net in base 5 | [i] | ||
| 28 | No (9, 76, 56)-net in base 5 | [i] | ||
| 29 | No (9, 77, 56)-net in base 5 | [i] | ||
| 30 | No (9, 78, 56)-net in base 5 | [i] | ||
| 31 | No (9, 79, 56)-net in base 5 | [i] | ||
| 32 | No (9, 80, 56)-net in base 5 | [i] | ||
| 33 | No (9, 81, 56)-net in base 5 | [i] | ||
| 34 | No (9, 82, 56)-net in base 5 | [i] | ||
| 35 | No (9, 83, 56)-net in base 5 | [i] | ||
| 36 | No (9, 84, 56)-net in base 5 | [i] | ||
| 37 | No (9, 85, 56)-net in base 5 | [i] | ||
| 38 | No (9, 86, 56)-net in base 5 | [i] | ||
| 39 | No (9, 87, 56)-net in base 5 | [i] | ||
| 40 | No (9, 88, 56)-net in base 5 | [i] | ||
| 41 | No (9, 89, 56)-net in base 5 | [i] | ||
| 42 | No (9, 90, 56)-net in base 5 | [i] | ||
| 43 | No (9, 91, 56)-net in base 5 | [i] | ||
| 44 | No (9, 92, 56)-net in base 5 | [i] | ||
| 45 | No (9, 93, 56)-net in base 5 | [i] | ||
| 46 | No (9, 94, 56)-net in base 5 | [i] | ||