Information on Result #520167
There is no (20, 42, 51)-net in base 2, because extracting embedded orthogonal array would yield OA(242, 51, S2, 22), but
- the linear programming bound shows that M ≥ 246 290604 621824 / 45 > 242 [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 (20, 43, 51)-net in base 2 | [i] | m-Reduction | |