Information on Result #523883
There is no (5, 44, 259)-net in base 16, because extracting embedded orthogonal array would yield OA(1644, 259, S16, 39), but
- the linear programming bound shows that M ≥ 50 774228 000133 379999 225829 635218 451511 707870 599888 076338 819166 895840 828939 967031 893032 960000 / 526 270836 757774 539017 306203 501343 024669 > 1644 [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 (5, 45, 259)-net in base 16 | [i] | m-Reduction | |
| 2 | No (5, 46, 259)-net in base 16 | [i] | ||
| 3 | No (5, 47, 259)-net in base 16 | [i] | ||
| 4 | No (5, 48, 259)-net in base 16 | [i] | ||