Information on Result #520529
There is no (57, 115, 126)-net in base 2, because extracting embedded orthogonal array would yield OA(2115, 126, S2, 58), but
- the linear programming bound shows that M ≥ 76 098302 758686 433723 742954 201049 726976 / 1575 > 2115 [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 (57, 116, 126)-net in base 2 | [i] | m-Reduction | |
| 2 | No (57, 117, 126)-net in base 2 | [i] | ||
| 3 | No (57, 118, 126)-net in base 2 | [i] | ||
| 4 | No (57, 119, 126)-net in base 2 | [i] | ||
| 5 | No (57, 120, 126)-net in base 2 | [i] | ||
| 6 | No (57, 121, 126)-net in base 2 | [i] | ||
| 7 | No (57, 122, 126)-net in base 2 | [i] | ||
| 8 | No (57, 123, 126)-net in base 2 | [i] | ||
| 9 | No (57, 124, 126)-net in base 2 | [i] | ||
| 10 | No (57, 125, 126)-net in base 2 | [i] | ||
| 11 | No (57, 126, 126)-net in base 2 | [i] | ||
| 12 | No (57, 127, 126)-net in base 2 | [i] | ||
| 13 | No (57, 128, 126)-net in base 2 | [i] | ||