Information on Result #521512
There is no (45, 127, 144)-net in base 3, because extracting embedded orthogonal array would yield OA(3127, 144, S3, 82), but
- the linear programming bound shows that M ≥ 13577 961473 879661 811848 237829 138963 029891 906866 238711 650620 748976 085767 / 3257 508055 > 3127 [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 (45, 128, 144)-net in base 3 | [i] | m-Reduction | |
| 2 | No (45, 129, 144)-net in base 3 | [i] | ||
| 3 | No (45, 130, 144)-net in base 3 | [i] | ||
| 4 | No (45, 131, 144)-net in base 3 | [i] | ||
| 5 | No (45, 132, 144)-net in base 3 | [i] | ||
| 6 | No (45, 133, 144)-net in base 3 | [i] | ||
| 7 | No (45, 134, 144)-net in base 3 | [i] | ||
| 8 | No (45, 135, 144)-net in base 3 | [i] | ||
| 9 | No (45, 136, 144)-net in base 3 | [i] | ||
| 10 | No (45, 137, 144)-net in base 3 | [i] | ||
| 11 | No (45, 138, 144)-net in base 3 | [i] | ||
| 12 | No (45, 139, 144)-net in base 3 | [i] | ||
| 13 | No (45, 140, 144)-net in base 3 | [i] | ||
| 14 | No (45, 141, 144)-net in base 3 | [i] | ||
| 15 | No (45, 142, 144)-net in base 3 | [i] | ||
| 16 | No (45, 143, 144)-net in base 3 | [i] | ||
| 17 | No (45, 144, 144)-net in base 3 | [i] | ||
| 18 | No (45, 145, 144)-net in base 3 | [i] | ||
| 19 | No (45, 146, 144)-net in base 3 | [i] | ||
| 20 | No (45, 147, 144)-net in base 3 | [i] | ||
| 21 | No (45, 148, 144)-net in base 3 | [i] | ||
| 22 | No (45, 149, 144)-net in base 3 | [i] | ||
| 23 | No (45, 150, 144)-net in base 3 | [i] | ||
| 24 | No (45, 151, 144)-net in base 3 | [i] | ||
| 25 | No (45, 152, 144)-net in base 3 | [i] | ||
| 26 | No (45, 153, 144)-net in base 3 | [i] | ||
| 27 | No (45, 154, 144)-net in base 3 | [i] | ||
| 28 | No (45, 155, 144)-net in base 3 | [i] | ||
| 29 | No (45, 156, 144)-net in base 3 | [i] | ||
| 30 | No (45, 157, 144)-net in base 3 | [i] | ||
| 31 | No (45, 158, 144)-net in base 3 | [i] | ||
| 32 | No (45, 159, 144)-net in base 3 | [i] | ||
| 33 | No (45, 160, 144)-net in base 3 | [i] | ||
| 34 | No (45, 161, 144)-net in base 3 | [i] | ||
| 35 | No (45, 162, 144)-net in base 3 | [i] | ||
| 36 | No (45, 163, 144)-net in base 3 | [i] | ||
| 37 | No (45, 164, 144)-net in base 3 | [i] | ||
| 38 | No (45, 165, 144)-net in base 3 | [i] | ||
| 39 | No (45, 166, 144)-net in base 3 | [i] | ||
| 40 | No (45, 167, 144)-net in base 3 | [i] | ||
| 41 | No (45, 168, 144)-net in base 3 | [i] | ||
| 42 | No (45, 169, 144)-net in base 3 | [i] | ||
| 43 | No (45, 170, 144)-net in base 3 | [i] | ||
| 44 | No (45, 171, 144)-net in base 3 | [i] | ||
| 45 | No (45, 172, 144)-net in base 3 | [i] | ||
| 46 | No (45, 173, 144)-net in base 3 | [i] | ||
| 47 | No (45, 174, 144)-net in base 3 | [i] | ||
| 48 | No (45, 175, 144)-net in base 3 | [i] | ||
| 49 | No (45, 176, 144)-net in base 3 | [i] | ||
| 50 | No (45, 177, 144)-net in base 3 | [i] | ||
| 51 | No (45, 178, 144)-net in base 3 | [i] | ||
| 52 | No (45, 179, 144)-net in base 3 | [i] | ||
| 53 | No (45, 180, 144)-net in base 3 | [i] | ||
| 54 | No (45, 181, 144)-net in base 3 | [i] | ||
| 55 | No (45, 182, 144)-net in base 3 | [i] | ||
| 56 | No (45, 183, 144)-net in base 3 | [i] | ||
| 57 | No (45, 184, 144)-net in base 3 | [i] | ||
| 58 | No (45, 185, 144)-net in base 3 | [i] | ||
| 59 | No (45, 186, 144)-net in base 3 | [i] | ||
| 60 | No (45, 187, 144)-net in base 3 | [i] | ||
| 61 | No (45, 188, 144)-net in base 3 | [i] | ||
| 62 | No (45, 189, 144)-net in base 3 | [i] | ||
| 63 | No (45, 190, 144)-net in base 3 | [i] | ||
| 64 | No (45, 191, 144)-net in base 3 | [i] | ||
| 65 | No (45, 192, 144)-net in base 3 | [i] | ||
| 66 | No (45, 193, 144)-net in base 3 | [i] | ||
| 67 | No (45, 194, 144)-net in base 3 | [i] | ||
| 68 | No (45, 195, 144)-net in base 3 | [i] | ||
| 69 | No (45, 196, 144)-net in base 3 | [i] | ||
| 70 | No (45, 197, 144)-net in base 3 | [i] | ||
| 71 | No (45, 198, 144)-net in base 3 | [i] | ||
| 72 | No (45, 199, 144)-net in base 3 | [i] | ||
| 73 | No (45, 200, 144)-net in base 3 | [i] | ||
| 74 | No (45, 201, 144)-net in base 3 | [i] | ||
| 75 | No (45, 202, 144)-net in base 3 | [i] | ||
| 76 | No (45, 203, 144)-net in base 3 | [i] | ||
| 77 | No (45, 204, 144)-net in base 3 | [i] | ||
| 78 | No (45, 205, 144)-net in base 3 | [i] | ||
| 79 | No (45, 206, 144)-net in base 3 | [i] | ||
| 80 | No (45, 207, 144)-net in base 3 | [i] | ||
| 81 | No (45, 208, 144)-net in base 3 | [i] | ||
| 82 | No (45, 209, 144)-net in base 3 | [i] | ||
| 83 | No (45, 210, 144)-net in base 3 | [i] | ||
| 84 | No (45, 211, 144)-net in base 3 | [i] | ||
| 85 | No (45, 212, 144)-net in base 3 | [i] | ||
| 86 | No (45, 213, 144)-net in base 3 | [i] | ||
| 87 | No (45, 214, 144)-net in base 3 | [i] | ||
| 88 | No (45, 215, 144)-net in base 3 | [i] | ||
| 89 | No (45, 216, 144)-net in base 3 | [i] | ||
| 90 | No (45, 217, 144)-net in base 3 | [i] | ||
| 91 | No (45, 218, 144)-net in base 3 | [i] | ||