Information on Result #523361
There is no (11, 62, 187)-net in base 8, because extracting embedded orthogonal array would yield OA(862, 187, S8, 51), but
- the linear programming bound shows that M ≥ 486 077877 347552 688790 679815 507810 642176 594417 217572 526710 667826 470675 232790 901201 089388 680444 610709 329460 005247 500938 816258 220851 345374 576640 / 4 837688 162429 564662 522847 813829 015730 651336 054402 266904 729358 109884 366756 784267 489073 > 862 [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 (11, 63, 187)-net in base 8 | [i] | m-Reduction | |
| 2 | No (11, 64, 187)-net in base 8 | [i] | ||
| 3 | No (11, 65, 187)-net in base 8 | [i] | ||
| 4 | No (11, 66, 187)-net in base 8 | [i] | ||
| 5 | No (11, 67, 187)-net in base 8 | [i] | ||
| 6 | No (11, 68, 187)-net in base 8 | [i] | ||
| 7 | No (11, 69, 187)-net in base 8 | [i] | ||
| 8 | No (11, 70, 187)-net in base 8 | [i] | ||
| 9 | No (11, 71, 187)-net in base 8 | [i] | ||