Information on Result #3091356
There is no (12, 66, 166)-net in base 7, because 4 times m-reduction would yield (12, 62, 166)-net in base 7, but
- extracting embedded orthogonal array [i] 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
None.