Information on Result #521066
There is no (9, 33, 36)-net in base 3, because extracting embedded orthogonal array would yield OA(333, 36, S3, 24), but
- the (dual) Plotkin bound shows that M ≥ 150094 635296 999121 / 25 > 333 [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 (9, 34, 36)-net in base 3 | [i] | m-Reduction | |
| 2 | No (9, 35, 36)-net in base 3 | [i] | ||
| 3 | No (9, 36, 36)-net in base 3 | [i] | ||
| 4 | No (9, 37, 36)-net in base 3 | [i] | ||
| 5 | No (9, 38, 36)-net in base 3 | [i] | ||
| 6 | No (9, 39, 36)-net in base 3 | [i] | ||
| 7 | No (9, 40, 36)-net in base 3 | [i] | ||
| 8 | No (9, 41, 36)-net in base 3 | [i] | ||
| 9 | No (9, 42, 36)-net in base 3 | [i] | ||
| 10 | No (9, 43, 36)-net in base 3 | [i] | ||
| 11 | No (9, 44, 36)-net in base 3 | [i] | ||
| 12 | No (9, 45, 36)-net in base 3 | [i] | ||
| 13 | No (9, 46, 36)-net in base 3 | [i] | ||
| 14 | No (9, 47, 36)-net in base 3 | [i] | ||
| 15 | No (9, 48, 36)-net in base 3 | [i] | ||
| 16 | No (9, 49, 36)-net in base 3 | [i] | ||
| 17 | No (9, 50, 36)-net in base 3 | [i] | ||
| 18 | No (9, 51, 36)-net in base 3 | [i] | ||
| 19 | No (9, 52, 36)-net in base 3 | [i] | ||