Information on Result #522710
There is no (24, 108, 126)-net in base 5, because extracting embedded orthogonal array would yield OA(5108, 126, S5, 84), but
- the linear programming bound shows that M ≥ 2 094092 513870 288705 839493 432161 771605 009517 271370 374225 103461 185426 567681 133747 100830 078125 / 654 802567 287869 > 5108 [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 (24, 109, 126)-net in base 5 | [i] | m-Reduction | |
| 2 | No (24, 110, 126)-net in base 5 | [i] | ||
| 3 | No (24, 111, 126)-net in base 5 | [i] | ||