Information on Result #521210
There is no (22, 215, 55)-net in base 3, because extracting embedded OOA would yield OOA(3215, 55, S3, 4, 193), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 537 389129 823333 586853 296080 335211 807839 299972 771156 980844 198119 163714 294704 099499 578360 467201 555655 223887 / 97 > 3215 [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 (22, 216, 55)-net in base 3 | [i] | m-Reduction | |
| 2 | No (22, 217, 55)-net in base 3 | [i] | ||
| 3 | No (22, 218, 55)-net in base 3 | [i] | ||
| 4 | No (22, 219, 55)-net in base 3 | [i] | ||
| 5 | No (22, 220, 55)-net in base 3 | [i] | ||
| 6 | No (22, 221, 55)-net in base 3 | [i] | ||
| 7 | No (22, 222, 55)-net in base 3 | [i] | ||
| 8 | No (22, 223, 55)-net in base 3 | [i] | ||
| 9 | No (22, 224, 55)-net in base 3 | [i] | ||
| 10 | No (22, 225, 55)-net in base 3 | [i] | ||
| 11 | No (22, 226, 55)-net in base 3 | [i] | ||
| 12 | No (22, 227, 55)-net in base 3 | [i] | ||
| 13 | No (22, 228, 55)-net in base 3 | [i] | ||
| 14 | No (22, 229, 55)-net in base 3 | [i] | ||
| 15 | No (22, 230, 55)-net in base 3 | [i] | ||
| 16 | No (22, 231, 55)-net in base 3 | [i] | ||
| 17 | No (22, 232, 55)-net in base 3 | [i] | ||
| 18 | No (22, 233, 55)-net in base 3 | [i] | ||
| 19 | No (22, 234, 55)-net in base 3 | [i] | ||
| 20 | No (22, 235, 55)-net in base 3 | [i] | ||
| 21 | No (22, 236, 55)-net in base 3 | [i] | ||
| 22 | No (22, 237, 55)-net in base 3 | [i] | ||
| 23 | No (22, 238, 55)-net in base 3 | [i] | ||
| 24 | No (22, 239, 55)-net in base 3 | [i] | ||
| 25 | No (22, 240, 55)-net in base 3 | [i] | ||
| 26 | No (22, 241, 55)-net in base 3 | [i] | ||
| 27 | No (22, 242, 55)-net in base 3 | [i] | ||
| 28 | No (22, 243, 55)-net in base 3 | [i] | ||
| 29 | No (22, 244, 55)-net in base 3 | [i] | ||
| 30 | No (22, 245, 55)-net in base 3 | [i] | ||
| 31 | No (22, 246, 55)-net in base 3 | [i] | ||
| 32 | No (22, 247, 55)-net in base 3 | [i] | ||
| 33 | No (22, 248, 55)-net in base 3 | [i] | ||
| 34 | No (22, 249, 55)-net in base 3 | [i] | ||
| 35 | No (22, 250, 55)-net in base 3 | [i] | ||
| 36 | No (22, m, 55)-net in base 3 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |