Information on Result #522749
There is no (29, 94, 300)-net in base 5, because extracting embedded orthogonal array would yield OA(594, 300, S5, 65), but
- the linear programming bound shows that M ≥ 10516 954940 091904 344602 480640 722591 906961 543685 679547 040672 489731 680698 471397 118291 128675 167720 811692 906879 012474 923687 312150 789429 563965 858002 578244 480285 096784 655252 122320 234775 543212 890625 / 17178 139436 360288 168843 954862 452950 441117 585418 463584 208857 078043 700354 226203 170629 797935 345060 016501 538131 593077 429209 923377 > 594 [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 (29, 95, 300)-net in base 5 | [i] | m-Reduction | |
| 2 | No (29, 96, 300)-net in base 5 | [i] | ||
| 3 | No (29, 97, 300)-net in base 5 | [i] | ||