Information on Result #523027
There is no (12, 62, 166)-net in base 7, because extracting embedded orthogonal array would yield OA(762, 166, S7, 50), but
- the linear programming bound shows that M ≥ 101 792547 682364 525951 804962 263964 874240 998756 512581 787163 475920 699160 660853 778660 921426 445850 342687 902207 042986 263508 486520 133943 271175 658043 070902 630276 779502 961050 / 4049 531549 017622 947378 237761 681092 013775 698737 547128 420548 551144 374027 650804 875173 331446 608133 184257 018697 865667 > 762 [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, 63, 166)-net in base 7 | [i] | m-Reduction | |
| 2 | No (12, 64, 166)-net in base 7 | [i] | ||
| 3 | No (12, 65, 166)-net in base 7 | [i] | ||
| 4 | No (12, 66, 166)-net in base 7 | [i] | ||