Information on Result #523384
There is no (12, 63, 215)-net in base 8, because extracting embedded orthogonal array would yield OA(863, 215, S8, 51), but
- the linear programming bound shows that M ≥ 888 049659 806526 634191 786130 362400 515913 030438 291744 086005 596735 253567 829260 820482 770094 550055 783634 864649 171965 452306 062773 016047 124480 / 1 053826 588446 508203 823694 245542 937039 065874 666654 907871 467877 113225 277242 012681 > 863 [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, 64, 215)-net in base 8 | [i] | m-Reduction | |
| 2 | No (12, 65, 215)-net in base 8 | [i] | ||
| 3 | No (12, 66, 215)-net in base 8 | [i] | ||
| 4 | No (12, 67, 215)-net in base 8 | [i] | ||
| 5 | No (12, 68, 215)-net in base 8 | [i] | ||
| 6 | No (12, 69, 215)-net in base 8 | [i] | ||
| 7 | No (12, 70, 215)-net in base 8 | [i] | ||
| 8 | No (12, 71, 215)-net in base 8 | [i] | ||
| 9 | No (12, 72, 215)-net in base 8 | [i] | ||
| 10 | No (12, 73, 215)-net in base 8 | [i] | ||
| 11 | No (12, 74, 215)-net in base 8 | [i] | ||
| 12 | No (12, 75, 215)-net in base 8 | [i] | ||
| 13 | No (12, 76, 215)-net in base 8 | [i] | ||
| 14 | No (12, 77, 215)-net in base 8 | [i] | ||
| 15 | No (12, 78, 215)-net in base 8 | [i] | ||