Information on Result #521893
There is no (14, 57, 67)-net in base 4, because extracting embedded orthogonal array would yield OA(457, 67, S4, 43), but
- the linear programming bound shows that M ≥ 978 311804 897698 082457 201996 366333 607936 / 33915 > 457 [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 (14, 58, 67)-net in base 4 | [i] | m-Reduction | |
| 2 | No (14, 59, 67)-net in base 4 | [i] | ||