Information on Result #520580
There is no (65, 127, 144)-net in base 2, because extracting embedded orthogonal array would yield OA(2127, 144, S2, 62), but
- the linear programming bound shows that M ≥ 1 097070 350953 105606 205919 734360 020713 734144 / 5719 > 2127 [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 (65, 128, 144)-net in base 2 | [i] | m-Reduction | |
| 2 | No (65, 129, 144)-net in base 2 | [i] | ||
| 3 | No (65, 130, 144)-net in base 2 | [i] | ||