Information on Result #522690
There is no (22, 99, 117)-net in base 5, because extracting embedded orthogonal array would yield OA(599, 117, S5, 77), but
- the linear programming bound shows that M ≥ 1856 586827 495109 693107 965362 093462 886026 486169 388505 231836 461462 080478 668212 890625 / 1 144811 144204 > 599 [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 (22, 100, 117)-net in base 5 | [i] | m-Reduction | |
2 | No (22, 101, 117)-net in base 5 | [i] | ||
3 | No (22, 102, 117)-net in base 5 | [i] |