Information on Result #520210
There is no (25, 55, 60)-net in base 2, because extracting embedded orthogonal array would yield OA(255, 60, S2, 30), but
- the (dual) Plotkin bound shows that M ≥ 1 152921 504606 846976 / 31 > 255 [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 (25, 56, 60)-net in base 2 | [i] | m-Reduction | |