Information on Result #521362
There is no (31, 155, 80)-net in base 3, because extracting embedded OOA would yield OOA(3155, 80, S3, 2, 124), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 2427 494450 315468 069358 961833 665581 682507 450011 656972 431201 424883 184770 261689 / 25 > 3155 [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 (31, 156, 80)-net in base 3 | [i] | m-Reduction | |
| 2 | No (31, 157, 80)-net in base 3 | [i] | ||
| 3 | No (31, 158, 80)-net in base 3 | [i] | ||
| 4 | No (31, 159, 80)-net in base 3 | [i] | ||
| 5 | No (31, 160, 80)-net in base 3 | [i] | ||
| 6 | No (31, 161, 80)-net in base 3 | [i] | ||
| 7 | No (31, 162, 80)-net in base 3 | [i] | ||
| 8 | No (31, 163, 80)-net in base 3 | [i] | ||
| 9 | No (31, 164, 80)-net in base 3 | [i] | ||
| 10 | No (31, 165, 80)-net in base 3 | [i] | ||
| 11 | No (31, 166, 80)-net in base 3 | [i] | ||
| 12 | No (31, 167, 80)-net in base 3 | [i] | ||
| 13 | No (31, 168, 80)-net in base 3 | [i] | ||
| 14 | No (31, 169, 80)-net in base 3 | [i] | ||
| 15 | No (31, 170, 80)-net in base 3 | [i] | ||
| 16 | No (31, 171, 80)-net in base 3 | [i] | ||
| 17 | No (31, 172, 80)-net in base 3 | [i] | ||
| 18 | No (31, 173, 80)-net in base 3 | [i] | ||
| 19 | No (31, 174, 80)-net in base 3 | [i] | ||
| 20 | No (31, 175, 80)-net in base 3 | [i] | ||
| 21 | No (31, 176, 80)-net in base 3 | [i] | ||
| 22 | No (31, 177, 80)-net in base 3 | [i] | ||
| 23 | No (31, 178, 80)-net in base 3 | [i] | ||
| 24 | No (31, 179, 80)-net in base 3 | [i] | ||
| 25 | No (31, 180, 80)-net in base 3 | [i] | ||
| 26 | No (31, 181, 80)-net in base 3 | [i] | ||
| 27 | No (31, 182, 80)-net in base 3 | [i] | ||
| 28 | No (31, 183, 80)-net in base 3 | [i] | ||
| 29 | No (31, 184, 80)-net in base 3 | [i] | ||
| 30 | No (31, 185, 80)-net in base 3 | [i] | ||
| 31 | No (31, 186, 80)-net in base 3 | [i] | ||
| 32 | No (31, 187, 80)-net in base 3 | [i] | ||
| 33 | No (31, 188, 80)-net in base 3 | [i] | ||
| 34 | No (31, 189, 80)-net in base 3 | [i] | ||
| 35 | No (31, 190, 80)-net in base 3 | [i] | ||
| 36 | No (31, 191, 80)-net in base 3 | [i] | ||
| 37 | No (31, 192, 80)-net in base 3 | [i] | ||
| 38 | No (31, 193, 80)-net in base 3 | [i] | ||
| 39 | No (31, 194, 80)-net in base 3 | [i] | ||
| 40 | No (31, 195, 80)-net in base 3 | [i] | ||
| 41 | No (31, 196, 80)-net in base 3 | [i] | ||
| 42 | No (31, 197, 80)-net in base 3 | [i] | ||
| 43 | No (31, 198, 80)-net in base 3 | [i] | ||
| 44 | No (31, 199, 80)-net in base 3 | [i] | ||
| 45 | No (31, 200, 80)-net in base 3 | [i] | ||
| 46 | No (31, 201, 80)-net in base 3 | [i] | ||
| 47 | No (31, 202, 80)-net in base 3 | [i] | ||
| 48 | No (31, 203, 80)-net in base 3 | [i] | ||
| 49 | No (31, 204, 80)-net in base 3 | [i] | ||
| 50 | No (31, 205, 80)-net in base 3 | [i] | ||
| 51 | No (31, 206, 80)-net in base 3 | [i] | ||
| 52 | No (31, 207, 80)-net in base 3 | [i] | ||
| 53 | No (31, 208, 80)-net in base 3 | [i] | ||
| 54 | No (31, 209, 80)-net in base 3 | [i] | ||
| 55 | No (31, 210, 80)-net in base 3 | [i] | ||
| 56 | No (31, 211, 80)-net in base 3 | [i] | ||
| 57 | No (31, 212, 80)-net in base 3 | [i] | ||
| 58 | No (31, 213, 80)-net in base 3 | [i] | ||
| 59 | No (31, 214, 80)-net in base 3 | [i] | ||
| 60 | No (31, 215, 80)-net in base 3 | [i] | ||
| 61 | No (31, 216, 80)-net in base 3 | [i] | ||
| 62 | No (31, 217, 80)-net in base 3 | [i] | ||
| 63 | No (31, 218, 80)-net in base 3 | [i] | ||
| 64 | No (31, 219, 80)-net in base 3 | [i] | ||