Information on Result #523828
There is no (3, 35, 162)-net in base 16, because extracting embedded orthogonal array would yield OA(1635, 162, S16, 32), but
- the linear programming bound shows that M ≥ 4853 573546 032429 937192 168908 048884 147376 956821 677601 984190 873600 / 3413 823898 487425 614953 > 1635 [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 (3, 36, 162)-net in base 16 | [i] | m-Reduction | |
| 2 | No (3, 37, 162)-net in base 16 | [i] | ||
| 3 | No (3, 38, 162)-net in base 16 | [i] | ||
| 4 | No (3, 39, 162)-net in base 16 | [i] | ||
| 5 | No (3, 40, 162)-net in base 16 | [i] | ||