Information on Result #520611
There is no (75, 157, 163)-net in base 2, because extracting embedded orthogonal array would yield OA(2157, 163, S2, 82), but
- the (dual) Plotkin bound shows that M ≥ 17 538019 647970 835018 444217 992595 396235 871190 515712 / 83 > 2157 [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 (75, 158, 163)-net in base 2 | [i] | m-Reduction | |
| 2 | No (75, 159, 163)-net in base 2 | [i] | ||
| 3 | No (75, 160, 163)-net in base 2 | [i] | ||
| 4 | No (75, 161, 163)-net in base 2 | [i] | ||
| 5 | No (75, 162, 163)-net in base 2 | [i] | ||
| 6 | No (75, 163, 163)-net in base 2 | [i] | ||
| 7 | No (75, 164, 163)-net in base 2 | [i] | ||
| 8 | No (75, 165, 163)-net in base 2 | [i] | ||
| 9 | No (75, 166, 163)-net in base 2 | [i] | ||