Information on Result #521156
There is no (18, 136, 47)-net in base 3, because extracting embedded OOA would yield OOA(3136, 47, S3, 3, 118), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 696198 609130 885597 695136 021593 547814 689632 716312 296141 651066 450089 / 7 > 3136 [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 (18, 137, 47)-net in base 3 | [i] | m-Reduction | |
| 2 | No (18, 138, 47)-net in base 3 | [i] | ||
| 3 | No (18, 139, 47)-net in base 3 | [i] | ||
| 4 | No (18, 140, 47)-net in base 3 | [i] | ||
| 5 | No (18, 141, 47)-net in base 3 | [i] | ||
| 6 | No (18, 142, 47)-net in base 3 | [i] | ||
| 7 | No (18, 143, 47)-net in base 3 | [i] | ||
| 8 | No (18, 144, 47)-net in base 3 | [i] | ||
| 9 | No (18, 145, 47)-net in base 3 | [i] | ||
| 10 | No (18, 146, 47)-net in base 3 | [i] | ||
| 11 | No (18, 147, 47)-net in base 3 | [i] | ||
| 12 | No (18, 148, 47)-net in base 3 | [i] | ||
| 13 | No (18, 149, 47)-net in base 3 | [i] | ||
| 14 | No (18, 150, 47)-net in base 3 | [i] | ||
| 15 | No (18, 151, 47)-net in base 3 | [i] | ||
| 16 | No (18, 152, 47)-net in base 3 | [i] | ||
| 17 | No (18, 153, 47)-net in base 3 | [i] | ||
| 18 | No (18, 154, 47)-net in base 3 | [i] | ||
| 19 | No (18, 155, 47)-net in base 3 | [i] | ||
| 20 | No (18, 156, 47)-net in base 3 | [i] | ||
| 21 | No (18, 157, 47)-net in base 3 | [i] | ||
| 22 | No (18, 158, 47)-net in base 3 | [i] | ||
| 23 | No (18, 159, 47)-net in base 3 | [i] | ||
| 24 | No (18, 160, 47)-net in base 3 | [i] | ||
| 25 | No (18, 161, 47)-net in base 3 | [i] | ||
| 26 | No (18, 162, 47)-net in base 3 | [i] | ||
| 27 | No (18, 163, 47)-net in base 3 | [i] | ||
| 28 | No (18, 164, 47)-net in base 3 | [i] | ||
| 29 | No (18, 165, 47)-net in base 3 | [i] | ||
| 30 | No (18, 166, 47)-net in base 3 | [i] | ||
| 31 | No (18, 167, 47)-net in base 3 | [i] | ||
| 32 | No (18, 168, 47)-net in base 3 | [i] | ||
| 33 | No (18, 169, 47)-net in base 3 | [i] | ||
| 34 | No (18, 170, 47)-net in base 3 | [i] | ||
| 35 | No (18, 171, 47)-net in base 3 | [i] | ||
| 36 | No (18, 172, 47)-net in base 3 | [i] | ||
| 37 | No (18, 173, 47)-net in base 3 | [i] | ||
| 38 | No (18, 174, 47)-net in base 3 | [i] | ||
| 39 | No (18, 175, 47)-net in base 3 | [i] | ||
| 40 | No (18, 176, 47)-net in base 3 | [i] | ||
| 41 | No (18, 177, 47)-net in base 3 | [i] | ||
| 42 | No (18, 178, 47)-net in base 3 | [i] | ||