Information on Result #523471
There is no (18, 124, 145)-net in base 8, because extracting embedded orthogonal array would yield OA(8124, 145, S8, 106), but
- the linear programming bound shows that M ≥ 1 342408 141203 687605 592802 609181 013836 865893 869002 996708 967389 151373 449322 112488 044923 320188 176348 763972 521547 313977 170182 155517 558784 / 126 646656 585020 246257 > 8124 [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 (18, 125, 145)-net in base 8 | [i] | m-Reduction | |
| 2 | No (18, 126, 145)-net in base 8 | [i] | ||
| 3 | No (18, 127, 145)-net in base 8 | [i] | ||