Information on Result #520849
There is no (112, 214, 239)-net in base 2, because extracting embedded orthogonal array would yield OA(2214, 239, S2, 102), but
- the linear programming bound shows that M ≥ 4 499776 858427 444685 568692 820114 098477 214081 226988 556790 531079 172255 645696 / 143 712023 > 2214 [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 (112, 215, 239)-net in base 2 | [i] | m-Reduction | |
| 2 | No (112, 216, 239)-net in base 2 | [i] | ||
| 3 | No (112, 217, 239)-net in base 2 | [i] | ||