Information on Result #521292
There is no (27, 137, 71)-net in base 3, because extracting embedded OOA would yield OOA(3137, 71, S3, 2, 110), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 10 442979 136963 283965 427040 323903 217220 344490 744684 442124 765996 751335 / 37 > 3137 [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, 138, 71)-net in base 3 | [i] | m-Reduction | |
| 2 | No (27, 139, 71)-net in base 3 | [i] | ||
| 3 | No (27, 140, 71)-net in base 3 | [i] | ||
| 4 | No (27, 141, 71)-net in base 3 | [i] | ||
| 5 | No (27, 142, 71)-net in base 3 | [i] | ||
| 6 | No (27, 143, 71)-net in base 3 | [i] | ||
| 7 | No (27, 144, 71)-net in base 3 | [i] | ||
| 8 | No (27, 145, 71)-net in base 3 | [i] | ||
| 9 | No (27, 146, 71)-net in base 3 | [i] | ||
| 10 | No (27, 147, 71)-net in base 3 | [i] | ||
| 11 | No (27, 148, 71)-net in base 3 | [i] | ||
| 12 | No (27, 149, 71)-net in base 3 | [i] | ||
| 13 | No (27, 150, 71)-net in base 3 | [i] | ||
| 14 | No (27, 151, 71)-net in base 3 | [i] | ||
| 15 | No (27, 152, 71)-net in base 3 | [i] | ||
| 16 | No (27, 153, 71)-net in base 3 | [i] | ||
| 17 | No (27, 154, 71)-net in base 3 | [i] | ||
| 18 | No (27, 155, 71)-net in base 3 | [i] | ||
| 19 | No (27, 156, 71)-net in base 3 | [i] | ||
| 20 | No (27, 157, 71)-net in base 3 | [i] | ||
| 21 | No (27, 158, 71)-net in base 3 | [i] | ||
| 22 | No (27, 159, 71)-net in base 3 | [i] | ||
| 23 | No (27, 160, 71)-net in base 3 | [i] | ||
| 24 | No (27, 161, 71)-net in base 3 | [i] | ||
| 25 | No (27, 162, 71)-net in base 3 | [i] | ||
| 26 | No (27, 163, 71)-net in base 3 | [i] | ||
| 27 | No (27, 164, 71)-net in base 3 | [i] | ||
| 28 | No (27, 165, 71)-net in base 3 | [i] | ||
| 29 | No (27, 166, 71)-net in base 3 | [i] | ||
| 30 | No (27, 167, 71)-net in base 3 | [i] | ||
| 31 | No (27, 168, 71)-net in base 3 | [i] | ||
| 32 | No (27, 169, 71)-net in base 3 | [i] | ||
| 33 | No (27, 170, 71)-net in base 3 | [i] | ||
| 34 | No (27, 171, 71)-net in base 3 | [i] | ||
| 35 | No (27, 172, 71)-net in base 3 | [i] | ||
| 36 | No (27, 173, 71)-net in base 3 | [i] | ||
| 37 | No (27, 174, 71)-net in base 3 | [i] | ||
| 38 | No (27, 175, 71)-net in base 3 | [i] | ||
| 39 | No (27, 176, 71)-net in base 3 | [i] | ||
| 40 | No (27, 177, 71)-net in base 3 | [i] | ||
| 41 | No (27, 178, 71)-net in base 3 | [i] | ||
| 42 | No (27, 179, 71)-net in base 3 | [i] | ||
| 43 | No (27, 180, 71)-net in base 3 | [i] | ||
| 44 | No (27, 181, 71)-net in base 3 | [i] | ||
| 45 | No (27, 182, 71)-net in base 3 | [i] | ||
| 46 | No (27, 183, 71)-net in base 3 | [i] | ||
| 47 | No (27, 184, 71)-net in base 3 | [i] | ||
| 48 | No (27, 185, 71)-net in base 3 | [i] | ||
| 49 | No (27, 186, 71)-net in base 3 | [i] | ||
| 50 | No (27, 187, 71)-net in base 3 | [i] | ||
| 51 | No (27, 188, 71)-net in base 3 | [i] | ||
| 52 | No (27, 189, 71)-net in base 3 | [i] | ||
| 53 | No (27, 190, 71)-net in base 3 | [i] | ||
| 54 | No (27, 191, 71)-net in base 3 | [i] | ||
| 55 | No (27, 192, 71)-net in base 3 | [i] | ||