Information on Result #521564
There is no (57, 180, 185)-net in base 3, because extracting embedded orthogonal array would yield OA(3180, 185, S3, 123), but
- the (dual) Plotkin bound shows that M ≥ 6170 365191 715177 779482 467945 369860 501784 408913 594010 934644 126825 341528 124785 676079 587681 / 62 > 3180 [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 (57, 181, 185)-net in base 3 | [i] | m-Reduction | |
| 2 | No (57, 182, 185)-net in base 3 | [i] | ||
| 3 | No (57, 183, 185)-net in base 3 | [i] | ||
| 4 | No (57, 184, 185)-net in base 3 | [i] | ||
| 5 | No (57, 185, 185)-net in base 3 | [i] | ||
| 6 | No (57, 186, 185)-net in base 3 | [i] | ||
| 7 | No (57, 187, 185)-net in base 3 | [i] | ||
| 8 | No (57, 188, 185)-net in base 3 | [i] | ||
| 9 | No (57, 189, 185)-net in base 3 | [i] | ||
| 10 | No (57, 190, 185)-net in base 3 | [i] | ||
| 11 | No (57, 191, 185)-net in base 3 | [i] | ||
| 12 | No (57, 192, 185)-net in base 3 | [i] | ||
| 13 | No (57, 193, 185)-net in base 3 | [i] | ||
| 14 | No (57, 194, 185)-net in base 3 | [i] | ||
| 15 | No (57, 195, 185)-net in base 3 | [i] | ||
| 16 | No (57, 196, 185)-net in base 3 | [i] | ||
| 17 | No (57, 197, 185)-net in base 3 | [i] | ||
| 18 | No (57, 198, 185)-net in base 3 | [i] | ||
| 19 | No (57, 199, 185)-net in base 3 | [i] | ||
| 20 | No (57, 200, 185)-net in base 3 | [i] | ||
| 21 | No (57, 201, 185)-net in base 3 | [i] | ||
| 22 | No (57, 202, 185)-net in base 3 | [i] | ||
| 23 | No (57, 203, 185)-net in base 3 | [i] | ||
| 24 | No (57, 204, 185)-net in base 3 | [i] | ||
| 25 | No (57, 205, 185)-net in base 3 | [i] | ||
| 26 | No (57, 206, 185)-net in base 3 | [i] | ||
| 27 | No (57, 207, 185)-net in base 3 | [i] | ||
| 28 | No (57, 208, 185)-net in base 3 | [i] | ||
| 29 | No (57, 209, 185)-net in base 3 | [i] | ||
| 30 | No (57, 210, 185)-net in base 3 | [i] | ||
| 31 | No (57, 211, 185)-net in base 3 | [i] | ||
| 32 | No (57, 212, 185)-net in base 3 | [i] | ||
| 33 | No (57, 213, 185)-net in base 3 | [i] | ||
| 34 | No (57, 214, 185)-net in base 3 | [i] | ||
| 35 | No (57, 215, 185)-net in base 3 | [i] | ||
| 36 | No (57, 216, 185)-net in base 3 | [i] | ||
| 37 | No (57, 217, 185)-net in base 3 | [i] | ||
| 38 | No (57, 218, 185)-net in base 3 | [i] | ||
| 39 | No (57, 219, 185)-net in base 3 | [i] | ||
| 40 | No (57, 220, 185)-net in base 3 | [i] | ||
| 41 | No (57, 221, 185)-net in base 3 | [i] | ||
| 42 | No (57, 222, 185)-net in base 3 | [i] | ||
| 43 | No (57, 223, 185)-net in base 3 | [i] | ||
| 44 | No (57, 224, 185)-net in base 3 | [i] | ||
| 45 | No (57, 225, 185)-net in base 3 | [i] | ||
| 46 | No (57, 226, 185)-net in base 3 | [i] | ||
| 47 | No (57, 227, 185)-net in base 3 | [i] | ||
| 48 | No (57, 228, 185)-net in base 3 | [i] | ||
| 49 | No (57, 229, 185)-net in base 3 | [i] | ||
| 50 | No (57, 230, 185)-net in base 3 | [i] | ||
| 51 | No (57, 231, 185)-net in base 3 | [i] | ||
| 52 | No (57, 232, 185)-net in base 3 | [i] | ||
| 53 | No (57, 233, 185)-net in base 3 | [i] | ||
| 54 | No (57, 234, 185)-net in base 3 | [i] | ||
| 55 | No (57, 235, 185)-net in base 3 | [i] | ||
| 56 | No (57, 236, 185)-net in base 3 | [i] | ||
| 57 | No (57, 237, 185)-net in base 3 | [i] | ||
| 58 | No (57, 238, 185)-net in base 3 | [i] | ||
| 59 | No (57, 239, 185)-net in base 3 | [i] | ||
| 60 | No (57, 240, 185)-net in base 3 | [i] | ||
| 61 | No (57, 241, 185)-net in base 3 | [i] | ||
| 62 | No (57, 242, 185)-net in base 3 | [i] | ||
| 63 | No (57, 243, 185)-net in base 3 | [i] | ||
| 64 | No (57, 244, 185)-net in base 3 | [i] | ||
| 65 | No (57, 245, 185)-net in base 3 | [i] | ||
| 66 | No (57, 246, 185)-net in base 3 | [i] | ||
| 67 | No (57, 247, 185)-net in base 3 | [i] | ||
| 68 | No (57, 248, 185)-net in base 3 | [i] | ||
| 69 | No (57, 249, 185)-net in base 3 | [i] | ||
| 70 | No (57, 250, 185)-net in base 3 | [i] | ||