Information on Result #520403
There is no (44, 94, 99)-net in base 2, because extracting embedded orthogonal array would yield OA(294, 99, S2, 50), but
- adding a parity check bit [i] would yield OA(295, 100, S2, 51), but
- the (dual) Plotkin bound shows that M ≥ 633825 300114 114700 748351 602688 / 13 > 295 [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 (44, 95, 99)-net in base 2 | [i] | m-Reduction | |
| 2 | No (44, 96, 99)-net in base 2 | [i] | ||
| 3 | No (44, 97, 99)-net in base 2 | [i] | ||
| 4 | No (44, 98, 99)-net in base 2 | [i] | ||
| 5 | No (44, 99, 99)-net in base 2 | [i] | ||