Information on Result #520294
There is no (34, 74, 79)-net in base 2, because extracting embedded orthogonal array would yield OA(274, 79, S2, 40), but
- the (dual) Plotkin bound shows that M ≥ 906694 364710 971881 029632 / 41 > 274 [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 (34, 75, 79)-net in base 2 | [i] | m-Reduction | |
| 2 | No (34, 76, 79)-net in base 2 | [i] | ||
| 3 | No (34, 77, 79)-net in base 2 | [i] | ||