Information on Result #521572
There is no (58, 183, 188)-net in base 3, because extracting embedded orthogonal array would yield OA(3183, 188, S3, 125), but
- the (dual) Plotkin bound shows that M ≥ 18511 095575 145533 338447 403836 109581 505353 226740 782032 803932 380476 024584 374357 028238 763043 / 7 > 3183 [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 (58, 184, 188)-net in base 3 | [i] | m-Reduction | |
| 2 | No (58, 185, 188)-net in base 3 | [i] | ||
| 3 | No (58, 186, 188)-net in base 3 | [i] | ||
| 4 | No (58, 187, 188)-net in base 3 | [i] | ||
| 5 | No (58, 188, 188)-net in base 3 | [i] | ||
| 6 | No (58, 189, 188)-net in base 3 | [i] | ||
| 7 | No (58, 190, 188)-net in base 3 | [i] | ||
| 8 | No (58, 191, 188)-net in base 3 | [i] | ||
| 9 | No (58, 192, 188)-net in base 3 | [i] | ||
| 10 | No (58, 193, 188)-net in base 3 | [i] | ||
| 11 | No (58, 194, 188)-net in base 3 | [i] | ||
| 12 | No (58, 195, 188)-net in base 3 | [i] | ||
| 13 | No (58, 196, 188)-net in base 3 | [i] | ||
| 14 | No (58, 197, 188)-net in base 3 | [i] | ||
| 15 | No (58, 198, 188)-net in base 3 | [i] | ||
| 16 | No (58, 199, 188)-net in base 3 | [i] | ||
| 17 | No (58, 200, 188)-net in base 3 | [i] | ||
| 18 | No (58, 201, 188)-net in base 3 | [i] | ||
| 19 | No (58, 202, 188)-net in base 3 | [i] | ||
| 20 | No (58, 203, 188)-net in base 3 | [i] | ||
| 21 | No (58, 204, 188)-net in base 3 | [i] | ||
| 22 | No (58, 205, 188)-net in base 3 | [i] | ||
| 23 | No (58, 206, 188)-net in base 3 | [i] | ||
| 24 | No (58, 207, 188)-net in base 3 | [i] | ||
| 25 | No (58, 208, 188)-net in base 3 | [i] | ||
| 26 | No (58, 209, 188)-net in base 3 | [i] | ||
| 27 | No (58, 210, 188)-net in base 3 | [i] | ||
| 28 | No (58, 211, 188)-net in base 3 | [i] | ||
| 29 | No (58, 212, 188)-net in base 3 | [i] | ||
| 30 | No (58, 213, 188)-net in base 3 | [i] | ||
| 31 | No (58, 214, 188)-net in base 3 | [i] | ||
| 32 | No (58, 215, 188)-net in base 3 | [i] | ||
| 33 | No (58, 216, 188)-net in base 3 | [i] | ||
| 34 | No (58, 217, 188)-net in base 3 | [i] | ||
| 35 | No (58, 218, 188)-net in base 3 | [i] | ||
| 36 | No (58, 219, 188)-net in base 3 | [i] | ||
| 37 | No (58, 220, 188)-net in base 3 | [i] | ||
| 38 | No (58, 221, 188)-net in base 3 | [i] | ||
| 39 | No (58, 222, 188)-net in base 3 | [i] | ||
| 40 | No (58, 223, 188)-net in base 3 | [i] | ||
| 41 | No (58, 224, 188)-net in base 3 | [i] | ||
| 42 | No (58, 225, 188)-net in base 3 | [i] | ||
| 43 | No (58, 226, 188)-net in base 3 | [i] | ||
| 44 | No (58, 227, 188)-net in base 3 | [i] | ||
| 45 | No (58, 228, 188)-net in base 3 | [i] | ||
| 46 | No (58, 229, 188)-net in base 3 | [i] | ||
| 47 | No (58, 230, 188)-net in base 3 | [i] | ||
| 48 | No (58, 231, 188)-net in base 3 | [i] | ||
| 49 | No (58, 232, 188)-net in base 3 | [i] | ||
| 50 | No (58, 233, 188)-net in base 3 | [i] | ||
| 51 | No (58, 234, 188)-net in base 3 | [i] | ||
| 52 | No (58, 235, 188)-net in base 3 | [i] | ||
| 53 | No (58, 236, 188)-net in base 3 | [i] | ||
| 54 | No (58, 237, 188)-net in base 3 | [i] | ||
| 55 | No (58, 238, 188)-net in base 3 | [i] | ||
| 56 | No (58, 239, 188)-net in base 3 | [i] | ||
| 57 | No (58, 240, 188)-net in base 3 | [i] | ||
| 58 | No (58, 241, 188)-net in base 3 | [i] | ||
| 59 | No (58, 242, 188)-net in base 3 | [i] | ||
| 60 | No (58, 243, 188)-net in base 3 | [i] | ||
| 61 | No (58, 244, 188)-net in base 3 | [i] | ||
| 62 | No (58, 245, 188)-net in base 3 | [i] | ||
| 63 | No (58, 246, 188)-net in base 3 | [i] | ||
| 64 | No (58, 247, 188)-net in base 3 | [i] | ||
| 65 | No (58, 248, 188)-net in base 3 | [i] | ||
| 66 | No (58, 249, 188)-net in base 3 | [i] | ||
| 67 | No (58, 250, 188)-net in base 3 | [i] | ||