Information on Result #520511
There is no (55, 111, 122)-net in base 2, because extracting embedded orthogonal array would yield OA(2111, 122, S2, 56), but
- the linear programming bound shows that M ≥ 53 252196 581133 192158 208770 352481 304576 / 17255 > 2111 [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 (55, 112, 122)-net in base 2 | [i] | m-Reduction | |
| 2 | No (55, 113, 122)-net in base 2 | [i] | ||
| 3 | No (55, 114, 122)-net in base 2 | [i] | ||