Information on Result #523731
There is no (12, 65, 258)-net in base 9, because extracting embedded orthogonal array would yield OA(965, 258, S9, 53), but
- the linear programming bound shows that M ≥ 3115 168854 220783 215219 768780 159936 720843 927087 163333 700130 000830 275274 104131 449440 559940 656772 807198 649003 636302 225680 570591 397494 949207 472122 873600 / 27 533585 604222 238879 620126 549314 600127 207589 391129 267721 230267 333962 835368 350738 616937 > 965 [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 (12, 66, 258)-net in base 9 | [i] | m-Reduction | |
| 2 | No (12, 67, 258)-net in base 9 | [i] | ||
| 3 | No (12, 68, 258)-net in base 9 | [i] | ||
| 4 | No (12, 69, 258)-net in base 9 | [i] | ||
| 5 | No (12, 70, 258)-net in base 9 | [i] | ||
| 6 | No (12, 71, 258)-net in base 9 | [i] | ||
| 7 | No (12, 72, 258)-net in base 9 | [i] | ||
| 8 | No (12, 73, 258)-net in base 9 | [i] | ||
| 9 | No (12, 74, 258)-net in base 9 | [i] | ||
| 10 | No (12, 75, 258)-net in base 9 | [i] | ||
| 11 | No (12, 76, 258)-net in base 9 | [i] | ||
| 12 | No (12, 77, 258)-net in base 9 | [i] | ||
| 13 | No (12, 78, 258)-net in base 9 | [i] | ||
| 14 | No (12, 79, 258)-net in base 9 | [i] | ||
| 15 | No (12, 80, 258)-net in base 9 | [i] | ||
| 16 | No (12, 81, 258)-net in base 9 | [i] | ||
| 17 | No (12, 82, 258)-net in base 9 | [i] | ||
| 18 | No (12, 83, 258)-net in base 9 | [i] | ||
| 19 | No (12, 84, 258)-net in base 9 | [i] | ||
| 20 | No (12, 85, 258)-net in base 9 | [i] | ||
| 21 | No (12, 86, 258)-net in base 9 | [i] | ||
| 22 | No (12, 87, 258)-net in base 9 | [i] | ||
| 23 | No (12, 88, 258)-net in base 9 | [i] | ||
| 24 | No (12, 89, 258)-net in base 9 | [i] | ||
| 25 | No (12, 90, 258)-net in base 9 | [i] | ||
| 26 | No (12, 91, 258)-net in base 9 | [i] | ||