Information on Result #520569
There is no (63, 123, 140)-net in base 2, because extracting embedded orthogonal array would yield OA(2123, 140, S2, 60), but
- the linear programming bound shows that M ≥ 3 888746 889172 484760 459445 013730 247120 519168 / 329189 > 2123 [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 (63, 124, 140)-net in base 2 | [i] | m-Reduction | |
| 2 | No (63, 125, 140)-net in base 2 | [i] | ||
| 3 | No (63, 126, 140)-net in base 2 | [i] | ||