Information on Result #520224
There is no (27, 51, 81)-net in base 2, because extracting embedded orthogonal array would yield OA(251, 81, S2, 24), but
- the linear programming bound shows that M ≥ 9 782701 960866 810384 351232 / 4249 786905 > 251 [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 (27, 52, 81)-net in base 2 | [i] | m-Reduction | |