Information on Result #520303
There is no (35, 71, 82)-net in base 2, because extracting embedded orthogonal array would yield OA(271, 82, S2, 36), but
- the linear programming bound shows that M ≥ 1 341152 081134 979240 689664 / 437 > 271 [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 (35, 72, 82)-net in base 2 | [i] | m-Reduction | |
| 2 | No (35, 73, 82)-net in base 2 | [i] | ||
| 3 | No (35, 74, 82)-net in base 2 | [i] | ||