Information on Result #522483
There is no (11, 55, 66)-net in base 5, because extracting embedded orthogonal array would yield OA(555, 66, S5, 44), but
- the linear programming bound shows that M ≥ 975608 482889 356309 897266 328334 808349 609375 / 3111 > 555 [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 (11, 56, 66)-net in base 5 | [i] | m-Reduction | |
| 2 | No (11, 57, 66)-net in base 5 | [i] | ||
| 3 | No (11, 58, 66)-net in base 5 | [i] | ||