Information on Result #521520
There is no (47, 136, 149)-net in base 3, because extracting embedded orthogonal array would yield OA(3136, 149, S3, 89), but
- the linear programming bound shows that M ≥ 6 385896 362423 839893 456186 755923 270794 744764 572661 578917 513381 685836 804369 / 75 686875 > 3136 [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 (47, 137, 149)-net in base 3 | [i] | m-Reduction | |
| 2 | No (47, 138, 149)-net in base 3 | [i] | ||
| 3 | No (47, 139, 149)-net in base 3 | [i] | ||
| 4 | No (47, 140, 149)-net in base 3 | [i] | ||
| 5 | No (47, 141, 149)-net in base 3 | [i] | ||
| 6 | No (47, 142, 149)-net in base 3 | [i] | ||
| 7 | No (47, 143, 149)-net in base 3 | [i] | ||
| 8 | No (47, 144, 149)-net in base 3 | [i] | ||
| 9 | No (47, 145, 149)-net in base 3 | [i] | ||
| 10 | No (47, 146, 149)-net in base 3 | [i] | ||
| 11 | No (47, 147, 149)-net in base 3 | [i] | ||
| 12 | No (47, 148, 149)-net in base 3 | [i] | ||
| 13 | No (47, 149, 149)-net in base 3 | [i] | ||
| 14 | No (47, 150, 149)-net in base 3 | [i] | ||
| 15 | No (47, 151, 149)-net in base 3 | [i] | ||
| 16 | No (47, 152, 149)-net in base 3 | [i] | ||
| 17 | No (47, 153, 149)-net in base 3 | [i] | ||
| 18 | No (47, 154, 149)-net in base 3 | [i] | ||
| 19 | No (47, 155, 149)-net in base 3 | [i] | ||
| 20 | No (47, 156, 149)-net in base 3 | [i] | ||
| 21 | No (47, 157, 149)-net in base 3 | [i] | ||
| 22 | No (47, 158, 149)-net in base 3 | [i] | ||
| 23 | No (47, 159, 149)-net in base 3 | [i] | ||
| 24 | No (47, 160, 149)-net in base 3 | [i] | ||
| 25 | No (47, 161, 149)-net in base 3 | [i] | ||
| 26 | No (47, 162, 149)-net in base 3 | [i] | ||
| 27 | No (47, 163, 149)-net in base 3 | [i] | ||
| 28 | No (47, 164, 149)-net in base 3 | [i] | ||
| 29 | No (47, 165, 149)-net in base 3 | [i] | ||
| 30 | No (47, 166, 149)-net in base 3 | [i] | ||
| 31 | No (47, 167, 149)-net in base 3 | [i] | ||
| 32 | No (47, 168, 149)-net in base 3 | [i] | ||
| 33 | No (47, 169, 149)-net in base 3 | [i] | ||
| 34 | No (47, 170, 149)-net in base 3 | [i] | ||
| 35 | No (47, 171, 149)-net in base 3 | [i] | ||
| 36 | No (47, 172, 149)-net in base 3 | [i] | ||
| 37 | No (47, 173, 149)-net in base 3 | [i] | ||
| 38 | No (47, 174, 149)-net in base 3 | [i] | ||
| 39 | No (47, 175, 149)-net in base 3 | [i] | ||
| 40 | No (47, 176, 149)-net in base 3 | [i] | ||
| 41 | No (47, 177, 149)-net in base 3 | [i] | ||
| 42 | No (47, 178, 149)-net in base 3 | [i] | ||
| 43 | No (47, 179, 149)-net in base 3 | [i] | ||
| 44 | No (47, 180, 149)-net in base 3 | [i] | ||
| 45 | No (47, 181, 149)-net in base 3 | [i] | ||
| 46 | No (47, 182, 149)-net in base 3 | [i] | ||
| 47 | No (47, 183, 149)-net in base 3 | [i] | ||
| 48 | No (47, 184, 149)-net in base 3 | [i] | ||
| 49 | No (47, 185, 149)-net in base 3 | [i] | ||
| 50 | No (47, 186, 149)-net in base 3 | [i] | ||
| 51 | No (47, 187, 149)-net in base 3 | [i] | ||
| 52 | No (47, 188, 149)-net in base 3 | [i] | ||
| 53 | No (47, 189, 149)-net in base 3 | [i] | ||
| 54 | No (47, 190, 149)-net in base 3 | [i] | ||
| 55 | No (47, 191, 149)-net in base 3 | [i] | ||
| 56 | No (47, 192, 149)-net in base 3 | [i] | ||
| 57 | No (47, 193, 149)-net in base 3 | [i] | ||
| 58 | No (47, 194, 149)-net in base 3 | [i] | ||
| 59 | No (47, 195, 149)-net in base 3 | [i] | ||
| 60 | No (47, 196, 149)-net in base 3 | [i] | ||
| 61 | No (47, 197, 149)-net in base 3 | [i] | ||
| 62 | No (47, 198, 149)-net in base 3 | [i] | ||
| 63 | No (47, 199, 149)-net in base 3 | [i] | ||
| 64 | No (47, 200, 149)-net in base 3 | [i] | ||
| 65 | No (47, 201, 149)-net in base 3 | [i] | ||
| 66 | No (47, 202, 149)-net in base 3 | [i] | ||
| 67 | No (47, 203, 149)-net in base 3 | [i] | ||
| 68 | No (47, 204, 149)-net in base 3 | [i] | ||
| 69 | No (47, 205, 149)-net in base 3 | [i] | ||
| 70 | No (47, 206, 149)-net in base 3 | [i] | ||
| 71 | No (47, 207, 149)-net in base 3 | [i] | ||
| 72 | No (47, 208, 149)-net in base 3 | [i] | ||
| 73 | No (47, 209, 149)-net in base 3 | [i] | ||
| 74 | No (47, 210, 149)-net in base 3 | [i] | ||
| 75 | No (47, 211, 149)-net in base 3 | [i] | ||
| 76 | No (47, 212, 149)-net in base 3 | [i] | ||
| 77 | No (47, 213, 149)-net in base 3 | [i] | ||
| 78 | No (47, 214, 149)-net in base 3 | [i] | ||
| 79 | No (47, 215, 149)-net in base 3 | [i] | ||
| 80 | No (47, 216, 149)-net in base 3 | [i] | ||
| 81 | No (47, 217, 149)-net in base 3 | [i] | ||
| 82 | No (47, 218, 149)-net in base 3 | [i] | ||
| 83 | No (47, 219, 149)-net in base 3 | [i] | ||
| 84 | No (47, 220, 149)-net in base 3 | [i] | ||
| 85 | No (47, 221, 149)-net in base 3 | [i] | ||
| 86 | No (47, 222, 149)-net in base 3 | [i] | ||
| 87 | No (47, 223, 149)-net in base 3 | [i] | ||
| 88 | No (47, 224, 149)-net in base 3 | [i] | ||
| 89 | No (47, 225, 149)-net in base 3 | [i] | ||
| 90 | No (47, 226, 149)-net in base 3 | [i] | ||
| 91 | No (47, 227, 149)-net in base 3 | [i] | ||
| 92 | No (47, 228, 149)-net in base 3 | [i] | ||