Information on Result #521346
There is no (30, 151, 78)-net in base 3, because extracting embedded OOA would yield OOA(3151, 78, S3, 2, 121), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 89 907201 863535 854420 702290 135762 284537 312963 394702 682637 089810 488324 824507 / 61 > 3151 [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 (30, 152, 78)-net in base 3 | [i] | m-Reduction | |
| 2 | No (30, 153, 78)-net in base 3 | [i] | ||
| 3 | No (30, 154, 78)-net in base 3 | [i] | ||
| 4 | No (30, 155, 78)-net in base 3 | [i] | ||
| 5 | No (30, 156, 78)-net in base 3 | [i] | ||
| 6 | No (30, 157, 78)-net in base 3 | [i] | ||
| 7 | No (30, 158, 78)-net in base 3 | [i] | ||
| 8 | No (30, 159, 78)-net in base 3 | [i] | ||
| 9 | No (30, 160, 78)-net in base 3 | [i] | ||
| 10 | No (30, 161, 78)-net in base 3 | [i] | ||
| 11 | No (30, 162, 78)-net in base 3 | [i] | ||
| 12 | No (30, 163, 78)-net in base 3 | [i] | ||
| 13 | No (30, 164, 78)-net in base 3 | [i] | ||
| 14 | No (30, 165, 78)-net in base 3 | [i] | ||
| 15 | No (30, 166, 78)-net in base 3 | [i] | ||
| 16 | No (30, 167, 78)-net in base 3 | [i] | ||
| 17 | No (30, 168, 78)-net in base 3 | [i] | ||
| 18 | No (30, 169, 78)-net in base 3 | [i] | ||
| 19 | No (30, 170, 78)-net in base 3 | [i] | ||
| 20 | No (30, 171, 78)-net in base 3 | [i] | ||
| 21 | No (30, 172, 78)-net in base 3 | [i] | ||
| 22 | No (30, 173, 78)-net in base 3 | [i] | ||
| 23 | No (30, 174, 78)-net in base 3 | [i] | ||
| 24 | No (30, 175, 78)-net in base 3 | [i] | ||
| 25 | No (30, 176, 78)-net in base 3 | [i] | ||
| 26 | No (30, 177, 78)-net in base 3 | [i] | ||
| 27 | No (30, 178, 78)-net in base 3 | [i] | ||
| 28 | No (30, 179, 78)-net in base 3 | [i] | ||
| 29 | No (30, 180, 78)-net in base 3 | [i] | ||
| 30 | No (30, 181, 78)-net in base 3 | [i] | ||
| 31 | No (30, 182, 78)-net in base 3 | [i] | ||
| 32 | No (30, 183, 78)-net in base 3 | [i] | ||
| 33 | No (30, 184, 78)-net in base 3 | [i] | ||
| 34 | No (30, 185, 78)-net in base 3 | [i] | ||
| 35 | No (30, 186, 78)-net in base 3 | [i] | ||
| 36 | No (30, 187, 78)-net in base 3 | [i] | ||
| 37 | No (30, 188, 78)-net in base 3 | [i] | ||
| 38 | No (30, 189, 78)-net in base 3 | [i] | ||
| 39 | No (30, 190, 78)-net in base 3 | [i] | ||
| 40 | No (30, 191, 78)-net in base 3 | [i] | ||
| 41 | No (30, 192, 78)-net in base 3 | [i] | ||
| 42 | No (30, 193, 78)-net in base 3 | [i] | ||
| 43 | No (30, 194, 78)-net in base 3 | [i] | ||
| 44 | No (30, 195, 78)-net in base 3 | [i] | ||
| 45 | No (30, 196, 78)-net in base 3 | [i] | ||
| 46 | No (30, 197, 78)-net in base 3 | [i] | ||
| 47 | No (30, 198, 78)-net in base 3 | [i] | ||
| 48 | No (30, 199, 78)-net in base 3 | [i] | ||
| 49 | No (30, 200, 78)-net in base 3 | [i] | ||
| 50 | No (30, 201, 78)-net in base 3 | [i] | ||
| 51 | No (30, 202, 78)-net in base 3 | [i] | ||
| 52 | No (30, 203, 78)-net in base 3 | [i] | ||
| 53 | No (30, 204, 78)-net in base 3 | [i] | ||
| 54 | No (30, 205, 78)-net in base 3 | [i] | ||
| 55 | No (30, 206, 78)-net in base 3 | [i] | ||
| 56 | No (30, 207, 78)-net in base 3 | [i] | ||
| 57 | No (30, 208, 78)-net in base 3 | [i] | ||
| 58 | No (30, 209, 78)-net in base 3 | [i] | ||
| 59 | No (30, 210, 78)-net in base 3 | [i] | ||
| 60 | No (30, 211, 78)-net in base 3 | [i] | ||
| 61 | No (30, 212, 78)-net in base 3 | [i] | ||
| 62 | No (30, 213, 78)-net in base 3 | [i] | ||