Information on Result #521082
There is no (11, 40, 43)-net in base 3, because extracting embedded orthogonal array would yield OA(340, 43, S3, 29), but
- the (dual) Plotkin bound shows that M ≥ 72 945992 754341 572806 / 5 > 340 [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 (11, 41, 43)-net in base 3 | [i] | m-Reduction | |
| 2 | No (11, 42, 43)-net in base 3 | [i] | ||
| 3 | No (11, 43, 43)-net in base 3 | [i] | ||
| 4 | No (11, 44, 43)-net in base 3 | [i] | ||
| 5 | No (11, 45, 43)-net in base 3 | [i] | ||
| 6 | No (11, 46, 43)-net in base 3 | [i] | ||
| 7 | No (11, 47, 43)-net in base 3 | [i] | ||
| 8 | No (11, 48, 43)-net in base 3 | [i] | ||
| 9 | No (11, 49, 43)-net in base 3 | [i] | ||
| 10 | No (11, 50, 43)-net in base 3 | [i] | ||
| 11 | No (11, 51, 43)-net in base 3 | [i] | ||
| 12 | No (11, 52, 43)-net in base 3 | [i] | ||
| 13 | No (11, 53, 43)-net in base 3 | [i] | ||
| 14 | No (11, 54, 43)-net in base 3 | [i] | ||
| 15 | No (11, 55, 43)-net in base 3 | [i] | ||
| 16 | No (11, 56, 43)-net in base 3 | [i] | ||
| 17 | No (11, 57, 43)-net in base 3 | [i] | ||
| 18 | No (11, 58, 43)-net in base 3 | [i] | ||
| 19 | No (11, 59, 43)-net in base 3 | [i] | ||
| 20 | No (11, 60, 43)-net in base 3 | [i] | ||
| 21 | No (11, 61, 43)-net in base 3 | [i] | ||