Information on Result #521293
There is no (27, 193, 66)-net in base 3, because extracting embedded OOA would yield OOA(3193, 66, S3, 3, 166), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 22954 295334 952140 560141 595731 487128 244501 656402 145203 355827 465829 304289 337149 571369 885097 448247 / 167 > 3193 [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 (27, 194, 66)-net in base 3 | [i] | m-Reduction | |
| 2 | No (27, 195, 66)-net in base 3 | [i] | ||
| 3 | No (27, 196, 66)-net in base 3 | [i] | ||
| 4 | No (27, 197, 66)-net in base 3 | [i] | ||
| 5 | No (27, 198, 66)-net in base 3 | [i] | ||
| 6 | No (27, 199, 66)-net in base 3 | [i] | ||
| 7 | No (27, 200, 66)-net in base 3 | [i] | ||
| 8 | No (27, 201, 66)-net in base 3 | [i] | ||
| 9 | No (27, 202, 66)-net in base 3 | [i] | ||
| 10 | No (27, 203, 66)-net in base 3 | [i] | ||
| 11 | No (27, 204, 66)-net in base 3 | [i] | ||
| 12 | No (27, 205, 66)-net in base 3 | [i] | ||
| 13 | No (27, 206, 66)-net in base 3 | [i] | ||
| 14 | No (27, 207, 66)-net in base 3 | [i] | ||
| 15 | No (27, 208, 66)-net in base 3 | [i] | ||
| 16 | No (27, 209, 66)-net in base 3 | [i] | ||
| 17 | No (27, 210, 66)-net in base 3 | [i] | ||
| 18 | No (27, 211, 66)-net in base 3 | [i] | ||
| 19 | No (27, 212, 66)-net in base 3 | [i] | ||
| 20 | No (27, 213, 66)-net in base 3 | [i] | ||
| 21 | No (27, 214, 66)-net in base 3 | [i] | ||
| 22 | No (27, 215, 66)-net in base 3 | [i] | ||
| 23 | No (27, 216, 66)-net in base 3 | [i] | ||
| 24 | No (27, 217, 66)-net in base 3 | [i] | ||
| 25 | No (27, 218, 66)-net in base 3 | [i] | ||
| 26 | No (27, 219, 66)-net in base 3 | [i] | ||
| 27 | No (27, 220, 66)-net in base 3 | [i] | ||
| 28 | No (27, 221, 66)-net in base 3 | [i] | ||
| 29 | No (27, 222, 66)-net in base 3 | [i] | ||
| 30 | No (27, 223, 66)-net in base 3 | [i] | ||
| 31 | No (27, 224, 66)-net in base 3 | [i] | ||
| 32 | No (27, 225, 66)-net in base 3 | [i] | ||
| 33 | No (27, 226, 66)-net in base 3 | [i] | ||
| 34 | No (27, 227, 66)-net in base 3 | [i] | ||
| 35 | No (27, 228, 66)-net in base 3 | [i] | ||
| 36 | No (27, 229, 66)-net in base 3 | [i] | ||
| 37 | No (27, 230, 66)-net in base 3 | [i] | ||
| 38 | No (27, 231, 66)-net in base 3 | [i] | ||
| 39 | No (27, 232, 66)-net in base 3 | [i] | ||
| 40 | No (27, 233, 66)-net in base 3 | [i] | ||
| 41 | No (27, 234, 66)-net in base 3 | [i] | ||
| 42 | No (27, 235, 66)-net in base 3 | [i] | ||
| 43 | No (27, 236, 66)-net in base 3 | [i] | ||
| 44 | No (27, 237, 66)-net in base 3 | [i] | ||
| 45 | No (27, 238, 66)-net in base 3 | [i] | ||
| 46 | No (27, 239, 66)-net in base 3 | [i] | ||
| 47 | No (27, 240, 66)-net in base 3 | [i] | ||
| 48 | No (27, 241, 66)-net in base 3 | [i] | ||
| 49 | No (27, 242, 66)-net in base 3 | [i] | ||
| 50 | No (27, 243, 66)-net in base 3 | [i] | ||
| 51 | No (27, 244, 66)-net in base 3 | [i] | ||
| 52 | No (27, 245, 66)-net in base 3 | [i] | ||
| 53 | No (27, 246, 66)-net in base 3 | [i] | ||
| 54 | No (27, 247, 66)-net in base 3 | [i] | ||
| 55 | No (27, 248, 66)-net in base 3 | [i] | ||
| 56 | No (27, 249, 66)-net in base 3 | [i] | ||
| 57 | No (27, 250, 66)-net in base 3 | [i] | ||