Information on Result #523442
There is no (16, 74, 300)-net in base 8, because extracting embedded orthogonal array would yield OA(874, 300, S8, 58), but
- the linear programming bound shows that M ≥ 9484 880837 890886 438207 523908 826636 321312 911261 221645 649646 026350 563089 163931 675158 932013 232120 501960 989670 851342 786972 645143 430967 516677 902360 796305 817600 / 1350 585561 592555 221400 173603 375830 017309 031610 937317 207818 710872 803762 996430 646282 904581 > 874 [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 (16, 75, 300)-net in base 8 | [i] | m-Reduction | |
| 2 | No (16, 76, 300)-net in base 8 | [i] | ||
| 3 | No (16, 77, 300)-net in base 8 | [i] | ||
| 4 | No (16, 78, 300)-net in base 8 | [i] | ||
| 5 | No (16, 79, 300)-net in base 8 | [i] | ||
| 6 | No (16, 80, 300)-net in base 8 | [i] | ||