Information on Result #520380
There is no (42, 90, 95)-net in base 2, because extracting embedded orthogonal array would yield OA(290, 95, S2, 48), but
- adding a parity check bit [i] would yield OA(291, 96, S2, 49), but
- the (dual) Plotkin bound shows that M ≥ 79228 162514 264337 593543 950336 / 25 > 291 [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 (42, 91, 95)-net in base 2 | [i] | m-Reduction | |
| 2 | No (42, 92, 95)-net in base 2 | [i] | ||
| 3 | No (42, 93, 95)-net in base 2 | [i] | ||
| 4 | No (42, 94, 95)-net in base 2 | [i] | ||
| 5 | No (42, 95, 95)-net in base 2 | [i] | ||