Information on Result #521582
There is no (59, 186, 191)-net in base 3, because extracting embedded orthogonal array would yield OA(3186, 191, S3, 127), but
- the (dual) Plotkin bound shows that M ≥ 4 498196 224760 364601 242719 132174 628305 800834 098010 033971 355568 455673 974002 968757 862019 419449 / 64 > 3186 [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 (59, 187, 191)-net in base 3 | [i] | m-Reduction | |
| 2 | No (59, 188, 191)-net in base 3 | [i] | ||
| 3 | No (59, 189, 191)-net in base 3 | [i] | ||
| 4 | No (59, 190, 191)-net in base 3 | [i] | ||
| 5 | No (59, 191, 191)-net in base 3 | [i] | ||
| 6 | No (59, 192, 191)-net in base 3 | [i] | ||
| 7 | No (59, 193, 191)-net in base 3 | [i] | ||
| 8 | No (59, 194, 191)-net in base 3 | [i] | ||
| 9 | No (59, 195, 191)-net in base 3 | [i] | ||
| 10 | No (59, 196, 191)-net in base 3 | [i] | ||
| 11 | No (59, 197, 191)-net in base 3 | [i] | ||
| 12 | No (59, 198, 191)-net in base 3 | [i] | ||
| 13 | No (59, 199, 191)-net in base 3 | [i] | ||
| 14 | No (59, 200, 191)-net in base 3 | [i] | ||
| 15 | No (59, 201, 191)-net in base 3 | [i] | ||
| 16 | No (59, 202, 191)-net in base 3 | [i] | ||
| 17 | No (59, 203, 191)-net in base 3 | [i] | ||
| 18 | No (59, 204, 191)-net in base 3 | [i] | ||
| 19 | No (59, 205, 191)-net in base 3 | [i] | ||
| 20 | No (59, 206, 191)-net in base 3 | [i] | ||
| 21 | No (59, 207, 191)-net in base 3 | [i] | ||
| 22 | No (59, 208, 191)-net in base 3 | [i] | ||
| 23 | No (59, 209, 191)-net in base 3 | [i] | ||
| 24 | No (59, 210, 191)-net in base 3 | [i] | ||
| 25 | No (59, 211, 191)-net in base 3 | [i] | ||
| 26 | No (59, 212, 191)-net in base 3 | [i] | ||
| 27 | No (59, 213, 191)-net in base 3 | [i] | ||
| 28 | No (59, 214, 191)-net in base 3 | [i] | ||
| 29 | No (59, 215, 191)-net in base 3 | [i] | ||
| 30 | No (59, 216, 191)-net in base 3 | [i] | ||
| 31 | No (59, 217, 191)-net in base 3 | [i] | ||
| 32 | No (59, 218, 191)-net in base 3 | [i] | ||
| 33 | No (59, 219, 191)-net in base 3 | [i] | ||
| 34 | No (59, 220, 191)-net in base 3 | [i] | ||
| 35 | No (59, 221, 191)-net in base 3 | [i] | ||
| 36 | No (59, 222, 191)-net in base 3 | [i] | ||
| 37 | No (59, 223, 191)-net in base 3 | [i] | ||
| 38 | No (59, 224, 191)-net in base 3 | [i] | ||
| 39 | No (59, 225, 191)-net in base 3 | [i] | ||
| 40 | No (59, 226, 191)-net in base 3 | [i] | ||
| 41 | No (59, 227, 191)-net in base 3 | [i] | ||
| 42 | No (59, 228, 191)-net in base 3 | [i] | ||
| 43 | No (59, 229, 191)-net in base 3 | [i] | ||
| 44 | No (59, 230, 191)-net in base 3 | [i] | ||
| 45 | No (59, 231, 191)-net in base 3 | [i] | ||
| 46 | No (59, 232, 191)-net in base 3 | [i] | ||
| 47 | No (59, 233, 191)-net in base 3 | [i] | ||
| 48 | No (59, 234, 191)-net in base 3 | [i] | ||
| 49 | No (59, 235, 191)-net in base 3 | [i] | ||
| 50 | No (59, 236, 191)-net in base 3 | [i] | ||
| 51 | No (59, 237, 191)-net in base 3 | [i] | ||
| 52 | No (59, 238, 191)-net in base 3 | [i] | ||
| 53 | No (59, 239, 191)-net in base 3 | [i] | ||
| 54 | No (59, 240, 191)-net in base 3 | [i] | ||
| 55 | No (59, 241, 191)-net in base 3 | [i] | ||
| 56 | No (59, 242, 191)-net in base 3 | [i] | ||
| 57 | No (59, 243, 191)-net in base 3 | [i] | ||
| 58 | No (59, 244, 191)-net in base 3 | [i] | ||
| 59 | No (59, 245, 191)-net in base 3 | [i] | ||
| 60 | No (59, 246, 191)-net in base 3 | [i] | ||
| 61 | No (59, 247, 191)-net in base 3 | [i] | ||
| 62 | No (59, 248, 191)-net in base 3 | [i] | ||
| 63 | No (59, 249, 191)-net in base 3 | [i] | ||
| 64 | No (59, 250, 191)-net in base 3 | [i] | ||