Information on Result #524254
There is no (2, 61, 247)-net in base 32, because extracting embedded orthogonal array would yield OA(3261, 247, S32, 59), but
- the linear programming bound shows that M ≥ 69666 313688 466493 132585 748412 717479 501180 313532 643690 366794 004047 936261 038394 666402 878176 578856 512986 808320 / 1067 161918 947067 > 3261 [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 (2, 62, 247)-net in base 32 | [i] | m-Reduction | |
| 2 | No (2, 63, 247)-net in base 32 | [i] | ||
| 3 | No (2, 64, 247)-net in base 32 | [i] | ||
| 4 | No (2, 65, 247)-net in base 32 | [i] | ||
| 5 | No (2, 66, 247)-net in base 32 | [i] | ||
| 6 | No (2, 67, 247)-net in base 32 | [i] | ||
| 7 | No (2, 68, 247)-net in base 32 | [i] | ||