Information on Result #523134
There is no (18, 72, 300)-net in base 7, because extracting embedded orthogonal array would yield OA(772, 300, S7, 54), but
- the linear programming bound shows that M ≥ 489103 554816 394657 800399 037864 659820 501497 415398 742685 371165 942106 365907 984558 305747 707707 237646 393998 681516 262241 865730 620908 433038 750000 / 65991 622295 854220 768278 534644 534429 740960 702156 273507 041087 721301 002664 801349 > 772 [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 (18, 73, 300)-net in base 7 | [i] | m-Reduction | |
| 2 | No (18, 74, 300)-net in base 7 | [i] | ||
| 3 | No (18, 75, 300)-net in base 7 | [i] | ||
| 4 | No (18, 76, 300)-net in base 7 | [i] | ||
| 5 | No (18, 77, 300)-net in base 7 | [i] | ||