Information on Result #521074
There is no (10, 58, 31)-net in base 3, because extracting embedded OOA would yield OOA(358, 31, S3, 2, 48), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 42391 158275 216203 514294 433201 / 7 > 358 [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 (10, 59, 31)-net in base 3 | [i] | m-Reduction | |
| 2 | No (10, 60, 31)-net in base 3 | [i] | ||
| 3 | No (10, 61, 31)-net in base 3 | [i] | ||
| 4 | No (10, 62, 31)-net in base 3 | [i] | ||
| 5 | No (10, 63, 31)-net in base 3 | [i] | ||
| 6 | No (10, 64, 31)-net in base 3 | [i] | ||
| 7 | No (10, 65, 31)-net in base 3 | [i] | ||
| 8 | No (10, 66, 31)-net in base 3 | [i] | ||
| 9 | No (10, 67, 31)-net in base 3 | [i] | ||
| 10 | No (10, 68, 31)-net in base 3 | [i] | ||
| 11 | No (10, 69, 31)-net in base 3 | [i] | ||
| 12 | No (10, 70, 31)-net in base 3 | [i] | ||
| 13 | No (10, 71, 31)-net in base 3 | [i] | ||
| 14 | No (10, 72, 31)-net in base 3 | [i] | ||
| 15 | No (10, 73, 31)-net in base 3 | [i] | ||
| 16 | No (10, 74, 31)-net in base 3 | [i] | ||
| 17 | No (10, 75, 31)-net in base 3 | [i] | ||
| 18 | No (10, 76, 31)-net in base 3 | [i] | ||
| 19 | No (10, 77, 31)-net in base 3 | [i] | ||
| 20 | No (10, 78, 31)-net in base 3 | [i] | ||
| 21 | No (10, 79, 31)-net in base 3 | [i] | ||
| 22 | No (10, 80, 31)-net in base 3 | [i] | ||
| 23 | No (10, 81, 31)-net in base 3 | [i] | ||
| 24 | No (10, 82, 31)-net in base 3 | [i] | ||