Information on Result #520246
There is no (29, 59, 70)-net in base 2, because extracting embedded orthogonal array would yield OA(259, 70, S2, 30), but
- the linear programming bound shows that M ≥ 23 634890 844440 363008 / 35 > 259 [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, 60, 70)-net in base 2 | [i] | m-Reduction | |
| 2 | No (29, 61, 70)-net in base 2 | [i] | ||
| 3 | No (29, 62, 70)-net in base 2 | [i] | ||