Information on Result #520536
There is no (58, 116, 128)-net in base 2, because extracting embedded orthogonal array would yield OA(2116, 128, S2, 58), but
- the linear programming bound shows that M ≥ 156 848903 502620 073002 649233 113080 659968 / 1575 > 2116 [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 (58, 117, 128)-net in base 2 | [i] | m-Reduction | |
| 2 | No (58, 118, 128)-net in base 2 | [i] | ||
| 3 | No (58, 119, 128)-net in base 2 | [i] | ||
| 4 | No (58, 120, 128)-net in base 2 | [i] | ||
| 5 | No (58, 121, 128)-net in base 2 | [i] | ||
| 6 | No (58, 122, 128)-net in base 2 | [i] | ||
| 7 | No (58, 123, 128)-net in base 2 | [i] | ||
| 8 | No (58, 124, 128)-net in base 2 | [i] | ||
| 9 | No (58, 125, 128)-net in base 2 | [i] | ||
| 10 | No (58, 126, 128)-net in base 2 | [i] | ||
| 11 | No (58, 127, 128)-net in base 2 | [i] | ||
| 12 | No (58, 128, 128)-net in base 2 | [i] | ||
| 13 | No (58, 129, 128)-net in base 2 | [i] | ||