Information on Result #520521
There is no (56, 112, 124)-net in base 2, because extracting embedded orthogonal array would yield OA(2112, 124, S2, 56), but
- the linear programming bound shows that M ≥ 21 267647 932558 653966 460912 964485 513216 / 3451 > 2112 [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 (56, 113, 124)-net in base 2 | [i] | m-Reduction | |
| 2 | No (56, 114, 124)-net in base 2 | [i] | ||
| 3 | No (56, 115, 124)-net in base 2 | [i] | ||
| 4 | No (56, 116, 124)-net in base 2 | [i] | ||
| 5 | No (56, 117, 124)-net in base 2 | [i] | ||
| 6 | No (56, 118, 124)-net in base 2 | [i] | ||
| 7 | No (56, 119, 124)-net in base 2 | [i] | ||
| 8 | No (56, 120, 124)-net in base 2 | [i] | ||
| 9 | No (56, 121, 124)-net in base 2 | [i] | ||
| 10 | No (56, 122, 124)-net in base 2 | [i] | ||
| 11 | No (56, 123, 124)-net in base 2 | [i] | ||
| 12 | No (56, 124, 124)-net in base 2 | [i] | ||
| 13 | No (56, 125, 124)-net in base 2 | [i] | ||