Information on Result #523782
There is no (16, 126, 144)-net in base 9, because extracting embedded orthogonal array would yield OA(9126, 144, S9, 110), but
- the linear programming bound shows that M ≥ 13985 352127 709815 135823 207322 213660 655679 036196 057151 464807 486617 148753 068973 647813 060841 422573 871412 475846 092090 726797 721652 094761 117031 / 7512 322263 802055 > 9126 [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 (16, 127, 144)-net in base 9 | [i] | m-Reduction | |
| 2 | No (16, 128, 144)-net in base 9 | [i] | ||
| 3 | No (16, 129, 144)-net in base 9 | [i] | ||
| 4 | No (16, 130, 144)-net in base 9 | [i] | ||
| 5 | No (16, 131, 144)-net in base 9 | [i] | ||
| 6 | No (16, 132, 144)-net in base 9 | [i] | ||
| 7 | No (16, 133, 144)-net in base 9 | [i] | ||
| 8 | No (16, 134, 144)-net in base 9 | [i] | ||
| 9 | No (16, 135, 144)-net in base 9 | [i] | ||
| 10 | No (16, 136, 144)-net in base 9 | [i] | ||
| 11 | No (16, 137, 144)-net in base 9 | [i] | ||
| 12 | No (16, 138, 144)-net in base 9 | [i] | ||
| 13 | No (16, 139, 144)-net in base 9 | [i] | ||
| 14 | No (16, 140, 144)-net in base 9 | [i] | ||
| 15 | No (16, 141, 144)-net in base 9 | [i] | ||
| 16 | No (16, 142, 144)-net in base 9 | [i] | ||
| 17 | No (16, 143, 144)-net in base 9 | [i] | ||
| 18 | No (16, 144, 144)-net in base 9 | [i] | ||
| 19 | No (16, 145, 144)-net in base 9 | [i] | ||
| 20 | No (16, 146, 144)-net in base 9 | [i] | ||
| 21 | No (16, 147, 144)-net in base 9 | [i] | ||
| 22 | No (16, 148, 144)-net in base 9 | [i] | ||
| 23 | No (16, 149, 144)-net in base 9 | [i] | ||
| 24 | No (16, 150, 144)-net in base 9 | [i] | ||
| 25 | No (16, m, 144)-net in base 9 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |