Information on Result #520255
There is no (30, 62, 72)-net in base 2, because extracting embedded orthogonal array would yield OA(262, 72, S2, 32), but
- the linear programming bound shows that M ≥ 8706 863202 790908 362752 / 1309 > 262 [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 (30, 63, 72)-net in base 2 | [i] | m-Reduction | |
| 2 | No (30, 64, 72)-net in base 2 | [i] | ||
| 3 | No (30, 65, 72)-net in base 2 | [i] | ||