Information on Result #521517
There is no (46, 133, 146)-net in base 3, because extracting embedded orthogonal array would yield OA(3133, 146, S3, 87), but
- the linear programming bound shows that M ≥ 1497 523208 240534 920642 237582 447721 349397 399972 787749 000691 443934 141439 / 508571 > 3133 [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 (46, 134, 146)-net in base 3 | [i] | m-Reduction | |
| 2 | No (46, 135, 146)-net in base 3 | [i] | ||
| 3 | No (46, 136, 146)-net in base 3 | [i] | ||
| 4 | No (46, 137, 146)-net in base 3 | [i] | ||
| 5 | No (46, 138, 146)-net in base 3 | [i] | ||
| 6 | No (46, 139, 146)-net in base 3 | [i] | ||
| 7 | No (46, 140, 146)-net in base 3 | [i] | ||
| 8 | No (46, 141, 146)-net in base 3 | [i] | ||
| 9 | No (46, 142, 146)-net in base 3 | [i] | ||
| 10 | No (46, 143, 146)-net in base 3 | [i] | ||
| 11 | No (46, 144, 146)-net in base 3 | [i] | ||
| 12 | No (46, 145, 146)-net in base 3 | [i] | ||
| 13 | No (46, 146, 146)-net in base 3 | [i] | ||
| 14 | No (46, 147, 146)-net in base 3 | [i] | ||
| 15 | No (46, 148, 146)-net in base 3 | [i] | ||
| 16 | No (46, 149, 146)-net in base 3 | [i] | ||
| 17 | No (46, 150, 146)-net in base 3 | [i] | ||
| 18 | No (46, 151, 146)-net in base 3 | [i] | ||
| 19 | No (46, 152, 146)-net in base 3 | [i] | ||
| 20 | No (46, 153, 146)-net in base 3 | [i] | ||
| 21 | No (46, 154, 146)-net in base 3 | [i] | ||
| 22 | No (46, 155, 146)-net in base 3 | [i] | ||
| 23 | No (46, 156, 146)-net in base 3 | [i] | ||
| 24 | No (46, 157, 146)-net in base 3 | [i] | ||
| 25 | No (46, 158, 146)-net in base 3 | [i] | ||
| 26 | No (46, 159, 146)-net in base 3 | [i] | ||
| 27 | No (46, 160, 146)-net in base 3 | [i] | ||
| 28 | No (46, 161, 146)-net in base 3 | [i] | ||
| 29 | No (46, 162, 146)-net in base 3 | [i] | ||
| 30 | No (46, 163, 146)-net in base 3 | [i] | ||
| 31 | No (46, 164, 146)-net in base 3 | [i] | ||
| 32 | No (46, 165, 146)-net in base 3 | [i] | ||
| 33 | No (46, 166, 146)-net in base 3 | [i] | ||
| 34 | No (46, 167, 146)-net in base 3 | [i] | ||
| 35 | No (46, 168, 146)-net in base 3 | [i] | ||
| 36 | No (46, 169, 146)-net in base 3 | [i] | ||
| 37 | No (46, 170, 146)-net in base 3 | [i] | ||
| 38 | No (46, 171, 146)-net in base 3 | [i] | ||
| 39 | No (46, 172, 146)-net in base 3 | [i] | ||
| 40 | No (46, 173, 146)-net in base 3 | [i] | ||
| 41 | No (46, 174, 146)-net in base 3 | [i] | ||
| 42 | No (46, 175, 146)-net in base 3 | [i] | ||
| 43 | No (46, 176, 146)-net in base 3 | [i] | ||
| 44 | No (46, 177, 146)-net in base 3 | [i] | ||
| 45 | No (46, 178, 146)-net in base 3 | [i] | ||
| 46 | No (46, 179, 146)-net in base 3 | [i] | ||
| 47 | No (46, 180, 146)-net in base 3 | [i] | ||
| 48 | No (46, 181, 146)-net in base 3 | [i] | ||
| 49 | No (46, 182, 146)-net in base 3 | [i] | ||
| 50 | No (46, 183, 146)-net in base 3 | [i] | ||
| 51 | No (46, 184, 146)-net in base 3 | [i] | ||
| 52 | No (46, 185, 146)-net in base 3 | [i] | ||
| 53 | No (46, 186, 146)-net in base 3 | [i] | ||
| 54 | No (46, 187, 146)-net in base 3 | [i] | ||
| 55 | No (46, 188, 146)-net in base 3 | [i] | ||
| 56 | No (46, 189, 146)-net in base 3 | [i] | ||
| 57 | No (46, 190, 146)-net in base 3 | [i] | ||
| 58 | No (46, 191, 146)-net in base 3 | [i] | ||
| 59 | No (46, 192, 146)-net in base 3 | [i] | ||
| 60 | No (46, 193, 146)-net in base 3 | [i] | ||
| 61 | No (46, 194, 146)-net in base 3 | [i] | ||
| 62 | No (46, 195, 146)-net in base 3 | [i] | ||
| 63 | No (46, 196, 146)-net in base 3 | [i] | ||
| 64 | No (46, 197, 146)-net in base 3 | [i] | ||
| 65 | No (46, 198, 146)-net in base 3 | [i] | ||
| 66 | No (46, 199, 146)-net in base 3 | [i] | ||
| 67 | No (46, 200, 146)-net in base 3 | [i] | ||
| 68 | No (46, 201, 146)-net in base 3 | [i] | ||
| 69 | No (46, 202, 146)-net in base 3 | [i] | ||
| 70 | No (46, 203, 146)-net in base 3 | [i] | ||
| 71 | No (46, 204, 146)-net in base 3 | [i] | ||
| 72 | No (46, 205, 146)-net in base 3 | [i] | ||
| 73 | No (46, 206, 146)-net in base 3 | [i] | ||
| 74 | No (46, 207, 146)-net in base 3 | [i] | ||
| 75 | No (46, 208, 146)-net in base 3 | [i] | ||
| 76 | No (46, 209, 146)-net in base 3 | [i] | ||
| 77 | No (46, 210, 146)-net in base 3 | [i] | ||
| 78 | No (46, 211, 146)-net in base 3 | [i] | ||
| 79 | No (46, 212, 146)-net in base 3 | [i] | ||
| 80 | No (46, 213, 146)-net in base 3 | [i] | ||
| 81 | No (46, 214, 146)-net in base 3 | [i] | ||
| 82 | No (46, 215, 146)-net in base 3 | [i] | ||
| 83 | No (46, 216, 146)-net in base 3 | [i] | ||
| 84 | No (46, 217, 146)-net in base 3 | [i] | ||
| 85 | No (46, 218, 146)-net in base 3 | [i] | ||
| 86 | No (46, 219, 146)-net in base 3 | [i] | ||
| 87 | No (46, 220, 146)-net in base 3 | [i] | ||
| 88 | No (46, 221, 146)-net in base 3 | [i] | ||
| 89 | No (46, 222, 146)-net in base 3 | [i] | ||
| 90 | No (46, 223, 146)-net in base 3 | [i] | ||
| 91 | No (46, 224, 146)-net in base 3 | [i] | ||