Information on Result #521195
There is no (21, 207, 53)-net in base 3, because extracting embedded OOA would yield OOA(3207, 53, S3, 4, 186), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 165555 871196 388364 355015 704118 291262 504527 064871 597522 368472 700777 167654 116327 144149 485010 990630 603295 / 187 > 3207 [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 (21, 208, 53)-net in base 3 | [i] | m-Reduction | |
| 2 | No (21, 209, 53)-net in base 3 | [i] | ||
| 3 | No (21, 210, 53)-net in base 3 | [i] | ||
| 4 | No (21, 211, 53)-net in base 3 | [i] | ||
| 5 | No (21, 212, 53)-net in base 3 | [i] | ||
| 6 | No (21, 213, 53)-net in base 3 | [i] | ||
| 7 | No (21, 214, 53)-net in base 3 | [i] | ||
| 8 | No (21, 215, 53)-net in base 3 | [i] | ||
| 9 | No (21, 216, 53)-net in base 3 | [i] | ||
| 10 | No (21, 217, 53)-net in base 3 | [i] | ||
| 11 | No (21, 218, 53)-net in base 3 | [i] | ||
| 12 | No (21, 219, 53)-net in base 3 | [i] | ||
| 13 | No (21, 220, 53)-net in base 3 | [i] | ||
| 14 | No (21, 221, 53)-net in base 3 | [i] | ||
| 15 | No (21, 222, 53)-net in base 3 | [i] | ||
| 16 | No (21, 223, 53)-net in base 3 | [i] | ||
| 17 | No (21, 224, 53)-net in base 3 | [i] | ||
| 18 | No (21, 225, 53)-net in base 3 | [i] | ||
| 19 | No (21, 226, 53)-net in base 3 | [i] | ||
| 20 | No (21, 227, 53)-net in base 3 | [i] | ||
| 21 | No (21, 228, 53)-net in base 3 | [i] | ||
| 22 | No (21, 229, 53)-net in base 3 | [i] | ||
| 23 | No (21, 230, 53)-net in base 3 | [i] | ||
| 24 | No (21, 231, 53)-net in base 3 | [i] | ||
| 25 | No (21, 232, 53)-net in base 3 | [i] | ||
| 26 | No (21, 233, 53)-net in base 3 | [i] | ||
| 27 | No (21, 234, 53)-net in base 3 | [i] | ||
| 28 | No (21, 235, 53)-net in base 3 | [i] | ||
| 29 | No (21, 236, 53)-net in base 3 | [i] | ||
| 30 | No (21, 237, 53)-net in base 3 | [i] | ||
| 31 | No (21, 238, 53)-net in base 3 | [i] | ||
| 32 | No (21, 239, 53)-net in base 3 | [i] | ||
| 33 | No (21, 240, 53)-net in base 3 | [i] | ||
| 34 | No (21, 241, 53)-net in base 3 | [i] | ||
| 35 | No (21, 242, 53)-net in base 3 | [i] | ||
| 36 | No (21, 243, 53)-net in base 3 | [i] | ||
| 37 | No (21, 244, 53)-net in base 3 | [i] | ||
| 38 | No (21, 245, 53)-net in base 3 | [i] | ||
| 39 | No (21, 246, 53)-net in base 3 | [i] | ||
| 40 | No (21, 247, 53)-net in base 3 | [i] | ||
| 41 | No (21, 248, 53)-net in base 3 | [i] | ||
| 42 | No (21, 249, 53)-net in base 3 | [i] | ||
| 43 | No (21, 250, 53)-net in base 3 | [i] | ||
| 44 | No (21, m, 53)-net in base 3 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |