Information on Result #520244
There is no (29, 55, 82)-net in base 2, because extracting embedded orthogonal array would yield OA(255, 82, S2, 26), but
- the linear programming bound shows that M ≥ 644 047496 602240 790095 200256 / 16885 995399 > 255 [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 (29, 56, 82)-net in base 2 | [i] | m-Reduction | |