Information on Result #522748
There is no (28, 127, 143)-net in base 5, because extracting embedded orthogonal array would yield OA(5127, 143, S5, 99), but
- the linear programming bound shows that M ≥ 16790 877570 883690 780699 267730 530691 899698 390565 322722 646512 433597 454361 233758 390881 121158 599853 515625 / 225753 948288 > 5127 [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 (28, 128, 143)-net in base 5 | [i] | m-Reduction | |
| 2 | No (28, 129, 143)-net in base 5 | [i] | ||
| 3 | No (28, 130, 143)-net in base 5 | [i] | ||
| 4 | No (28, 131, 143)-net in base 5 | [i] | ||
| 5 | No (28, 132, 143)-net in base 5 | [i] | ||
| 6 | No (28, 133, 143)-net in base 5 | [i] | ||
| 7 | No (28, 134, 143)-net in base 5 | [i] | ||
| 8 | No (28, 135, 143)-net in base 5 | [i] | ||
| 9 | No (28, 136, 143)-net in base 5 | [i] | ||
| 10 | No (28, 137, 143)-net in base 5 | [i] | ||
| 11 | No (28, 138, 143)-net in base 5 | [i] | ||
| 12 | No (28, 139, 143)-net in base 5 | [i] | ||
| 13 | No (28, 140, 143)-net in base 5 | [i] | ||
| 14 | No (28, 141, 143)-net in base 5 | [i] | ||
| 15 | No (28, 142, 143)-net in base 5 | [i] | ||
| 16 | No (28, 143, 143)-net in base 5 | [i] | ||
| 17 | No (28, 144, 143)-net in base 5 | [i] | ||
| 18 | No (28, 145, 143)-net in base 5 | [i] | ||
| 19 | No (28, 146, 143)-net in base 5 | [i] | ||
| 20 | No (28, 147, 143)-net in base 5 | [i] | ||
| 21 | No (28, 148, 143)-net in base 5 | [i] | ||
| 22 | No (28, 149, 143)-net in base 5 | [i] | ||
| 23 | No (28, 150, 143)-net in base 5 | [i] | ||