Information on Result #521557
There is no (56, 177, 182)-net in base 3, because extracting embedded orthogonal array would yield OA(3177, 182, S3, 121), but
- the (dual) Plotkin bound shows that M ≥ 228 532044 137599 177017 869183 161846 685251 274404 207185 590172 004697 234871 412029 099114 058803 / 61 > 3177 [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 (56, 178, 182)-net in base 3 | [i] | m-Reduction | |
| 2 | No (56, 179, 182)-net in base 3 | [i] | ||
| 3 | No (56, 180, 182)-net in base 3 | [i] | ||
| 4 | No (56, 181, 182)-net in base 3 | [i] | ||
| 5 | No (56, 182, 182)-net in base 3 | [i] | ||
| 6 | No (56, 183, 182)-net in base 3 | [i] | ||
| 7 | No (56, 184, 182)-net in base 3 | [i] | ||
| 8 | No (56, 185, 182)-net in base 3 | [i] | ||
| 9 | No (56, 186, 182)-net in base 3 | [i] | ||
| 10 | No (56, 187, 182)-net in base 3 | [i] | ||
| 11 | No (56, 188, 182)-net in base 3 | [i] | ||
| 12 | No (56, 189, 182)-net in base 3 | [i] | ||
| 13 | No (56, 190, 182)-net in base 3 | [i] | ||
| 14 | No (56, 191, 182)-net in base 3 | [i] | ||
| 15 | No (56, 192, 182)-net in base 3 | [i] | ||
| 16 | No (56, 193, 182)-net in base 3 | [i] | ||
| 17 | No (56, 194, 182)-net in base 3 | [i] | ||
| 18 | No (56, 195, 182)-net in base 3 | [i] | ||
| 19 | No (56, 196, 182)-net in base 3 | [i] | ||
| 20 | No (56, 197, 182)-net in base 3 | [i] | ||
| 21 | No (56, 198, 182)-net in base 3 | [i] | ||
| 22 | No (56, 199, 182)-net in base 3 | [i] | ||
| 23 | No (56, 200, 182)-net in base 3 | [i] | ||
| 24 | No (56, 201, 182)-net in base 3 | [i] | ||
| 25 | No (56, 202, 182)-net in base 3 | [i] | ||
| 26 | No (56, 203, 182)-net in base 3 | [i] | ||
| 27 | No (56, 204, 182)-net in base 3 | [i] | ||
| 28 | No (56, 205, 182)-net in base 3 | [i] | ||
| 29 | No (56, 206, 182)-net in base 3 | [i] | ||
| 30 | No (56, 207, 182)-net in base 3 | [i] | ||
| 31 | No (56, 208, 182)-net in base 3 | [i] | ||
| 32 | No (56, 209, 182)-net in base 3 | [i] | ||
| 33 | No (56, 210, 182)-net in base 3 | [i] | ||
| 34 | No (56, 211, 182)-net in base 3 | [i] | ||
| 35 | No (56, 212, 182)-net in base 3 | [i] | ||
| 36 | No (56, 213, 182)-net in base 3 | [i] | ||
| 37 | No (56, 214, 182)-net in base 3 | [i] | ||
| 38 | No (56, 215, 182)-net in base 3 | [i] | ||
| 39 | No (56, 216, 182)-net in base 3 | [i] | ||
| 40 | No (56, 217, 182)-net in base 3 | [i] | ||
| 41 | No (56, 218, 182)-net in base 3 | [i] | ||
| 42 | No (56, 219, 182)-net in base 3 | [i] | ||
| 43 | No (56, 220, 182)-net in base 3 | [i] | ||
| 44 | No (56, 221, 182)-net in base 3 | [i] | ||
| 45 | No (56, 222, 182)-net in base 3 | [i] | ||
| 46 | No (56, 223, 182)-net in base 3 | [i] | ||
| 47 | No (56, 224, 182)-net in base 3 | [i] | ||
| 48 | No (56, 225, 182)-net in base 3 | [i] | ||
| 49 | No (56, 226, 182)-net in base 3 | [i] | ||
| 50 | No (56, 227, 182)-net in base 3 | [i] | ||
| 51 | No (56, 228, 182)-net in base 3 | [i] | ||
| 52 | No (56, 229, 182)-net in base 3 | [i] | ||
| 53 | No (56, 230, 182)-net in base 3 | [i] | ||
| 54 | No (56, 231, 182)-net in base 3 | [i] | ||
| 55 | No (56, 232, 182)-net in base 3 | [i] | ||
| 56 | No (56, 233, 182)-net in base 3 | [i] | ||
| 57 | No (56, 234, 182)-net in base 3 | [i] | ||
| 58 | No (56, 235, 182)-net in base 3 | [i] | ||
| 59 | No (56, 236, 182)-net in base 3 | [i] | ||
| 60 | No (56, 237, 182)-net in base 3 | [i] | ||
| 61 | No (56, 238, 182)-net in base 3 | [i] | ||
| 62 | No (56, 239, 182)-net in base 3 | [i] | ||
| 63 | No (56, 240, 182)-net in base 3 | [i] | ||
| 64 | No (56, 241, 182)-net in base 3 | [i] | ||
| 65 | No (56, 242, 182)-net in base 3 | [i] | ||
| 66 | No (56, 243, 182)-net in base 3 | [i] | ||
| 67 | No (56, 244, 182)-net in base 3 | [i] | ||
| 68 | No (56, 245, 182)-net in base 3 | [i] | ||
| 69 | No (56, 246, 182)-net in base 3 | [i] | ||
| 70 | No (56, 247, 182)-net in base 3 | [i] | ||
| 71 | No (56, 248, 182)-net in base 3 | [i] | ||
| 72 | No (56, 249, 182)-net in base 3 | [i] | ||
| 73 | No (56, 250, 182)-net in base 3 | [i] | ||