Information on Result #522634
There is no (19, 67, 190)-net in base 5, because extracting embedded orthogonal array would yield OA(567, 190, S5, 48), but
- the linear programming bound shows that M ≥ 139 124959 067603 873322 973848 261999 902938 721401 487962 196427 958905 932685 857275 222943 487399 518687 652744 119986 891746 520996 093750 000000 000000 / 1945 405900 784912 155706 111127 555122 141815 117656 438746 607270 389576 779617 403604 841411 250557 > 567 [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 (19, 68, 190)-net in base 5 | [i] | m-Reduction | |
| 2 | No (19, 69, 190)-net in base 5 | [i] | ||
| 3 | No (19, 70, 190)-net in base 5 | [i] | ||
| 4 | No (19, 71, 190)-net in base 5 | [i] | ||
| 5 | No (19, 72, 190)-net in base 5 | [i] | ||
| 6 | No (19, 73, 190)-net in base 5 | [i] | ||
| 7 | No (19, 74, 190)-net in base 5 | [i] | ||
| 8 | No (19, 75, 190)-net in base 5 | [i] | ||