Information on Result #522652
There is no (20, 68, 210)-net in base 5, because extracting embedded orthogonal array would yield OA(568, 210, S5, 48), but
- the linear programming bound shows that M ≥ 6760 956083 916702 352992 250564 109932 606189 415621 657408 476429 552982 124466 864951 923836 257741 129429 632565 006613 731384 277343 750000 / 19342 287027 559923 481797 783576 010130 384623 417931 322127 496147 355024 935112 515561 > 568 [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 (20, 69, 210)-net in base 5 | [i] | m-Reduction | |
| 2 | No (20, 70, 210)-net in base 5 | [i] | ||
| 3 | No (20, 71, 210)-net in base 5 | [i] | ||