Information on Result #523810
There is no (2, 32, 113)-net in base 16, because extracting embedded orthogonal array would yield OA(1632, 113, S16, 30), but
- the linear programming bound shows that M ≥ 717 553682 135575 190882 837481 077483 153553 381648 236544 / 2 087375 178989 > 1632 [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 (2, 33, 113)-net in base 16 | [i] | m-Reduction | |
| 2 | No (2, 34, 113)-net in base 16 | [i] | ||
| 3 | No (2, 35, 113)-net in base 16 | [i] | ||