Information on Result #523432
There is no (15, 66, 296)-net in base 8, because extracting embedded orthogonal array would yield OA(866, 296, S8, 51), but
- the linear programming bound shows that M ≥ 1 250062 958837 561183 624404 744244 192700 439017 944864 767705 236229 106710 888395 390839 850805 321385 337484 514454 170810 392090 648828 600419 191095 296000 / 3 096891 109413 013981 634976 757753 456870 522002 446974 025728 410339 087894 301101 500579 > 866 [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 (15, 67, 296)-net in base 8 | [i] | m-Reduction | |
| 2 | No (15, 68, 296)-net in base 8 | [i] | ||
| 3 | No (15, 69, 296)-net in base 8 | [i] | ||
| 4 | No (15, 70, 296)-net in base 8 | [i] | ||
| 5 | No (15, 71, 296)-net in base 8 | [i] | ||
| 6 | No (15, 72, 296)-net in base 8 | [i] | ||