Information on Result #521474
There is no (40, 116, 129)-net in base 3, because extracting embedded orthogonal array would yield OA(3116, 129, S3, 76), but
- the linear programming bound shows that M ≥ 10 043490 566221 756034 999262 067129 182567 059217 282309 049833 675189 / 424270 > 3116 [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 (40, 117, 129)-net in base 3 | [i] | m-Reduction | |
| 2 | No (40, 118, 129)-net in base 3 | [i] | ||
| 3 | No (40, 119, 129)-net in base 3 | [i] | ||
| 4 | No (40, 120, 129)-net in base 3 | [i] | ||
| 5 | No (40, 121, 129)-net in base 3 | [i] | ||
| 6 | No (40, 122, 129)-net in base 3 | [i] | ||
| 7 | No (40, 123, 129)-net in base 3 | [i] | ||
| 8 | No (40, 124, 129)-net in base 3 | [i] | ||
| 9 | No (40, 125, 129)-net in base 3 | [i] | ||
| 10 | No (40, 126, 129)-net in base 3 | [i] | ||
| 11 | No (40, 127, 129)-net in base 3 | [i] | ||
| 12 | No (40, 128, 129)-net in base 3 | [i] | ||
| 13 | No (40, 129, 129)-net in base 3 | [i] | ||
| 14 | No (40, 130, 129)-net in base 3 | [i] | ||
| 15 | No (40, 131, 129)-net in base 3 | [i] | ||
| 16 | No (40, 132, 129)-net in base 3 | [i] | ||
| 17 | No (40, 133, 129)-net in base 3 | [i] | ||
| 18 | No (40, 134, 129)-net in base 3 | [i] | ||
| 19 | No (40, 135, 129)-net in base 3 | [i] | ||
| 20 | No (40, 136, 129)-net in base 3 | [i] | ||
| 21 | No (40, 137, 129)-net in base 3 | [i] | ||
| 22 | No (40, 138, 129)-net in base 3 | [i] | ||
| 23 | No (40, 139, 129)-net in base 3 | [i] | ||
| 24 | No (40, 140, 129)-net in base 3 | [i] | ||
| 25 | No (40, 141, 129)-net in base 3 | [i] | ||
| 26 | No (40, 142, 129)-net in base 3 | [i] | ||
| 27 | No (40, 143, 129)-net in base 3 | [i] | ||
| 28 | No (40, 144, 129)-net in base 3 | [i] | ||
| 29 | No (40, 145, 129)-net in base 3 | [i] | ||
| 30 | No (40, 146, 129)-net in base 3 | [i] | ||
| 31 | No (40, 147, 129)-net in base 3 | [i] | ||
| 32 | No (40, 148, 129)-net in base 3 | [i] | ||
| 33 | No (40, 149, 129)-net in base 3 | [i] | ||
| 34 | No (40, 150, 129)-net in base 3 | [i] | ||
| 35 | No (40, 151, 129)-net in base 3 | [i] | ||
| 36 | No (40, 152, 129)-net in base 3 | [i] | ||
| 37 | No (40, 153, 129)-net in base 3 | [i] | ||
| 38 | No (40, 154, 129)-net in base 3 | [i] | ||
| 39 | No (40, 155, 129)-net in base 3 | [i] | ||
| 40 | No (40, 156, 129)-net in base 3 | [i] | ||
| 41 | No (40, 157, 129)-net in base 3 | [i] | ||
| 42 | No (40, 158, 129)-net in base 3 | [i] | ||
| 43 | No (40, 159, 129)-net in base 3 | [i] | ||
| 44 | No (40, 160, 129)-net in base 3 | [i] | ||
| 45 | No (40, 161, 129)-net in base 3 | [i] | ||
| 46 | No (40, 162, 129)-net in base 3 | [i] | ||
| 47 | No (40, 163, 129)-net in base 3 | [i] | ||
| 48 | No (40, 164, 129)-net in base 3 | [i] | ||
| 49 | No (40, 165, 129)-net in base 3 | [i] | ||
| 50 | No (40, 166, 129)-net in base 3 | [i] | ||
| 51 | No (40, 167, 129)-net in base 3 | [i] | ||
| 52 | No (40, 168, 129)-net in base 3 | [i] | ||
| 53 | No (40, 169, 129)-net in base 3 | [i] | ||
| 54 | No (40, 170, 129)-net in base 3 | [i] | ||
| 55 | No (40, 171, 129)-net in base 3 | [i] | ||
| 56 | No (40, 172, 129)-net in base 3 | [i] | ||
| 57 | No (40, 173, 129)-net in base 3 | [i] | ||
| 58 | No (40, 174, 129)-net in base 3 | [i] | ||
| 59 | No (40, 175, 129)-net in base 3 | [i] | ||
| 60 | No (40, 176, 129)-net in base 3 | [i] | ||
| 61 | No (40, 177, 129)-net in base 3 | [i] | ||
| 62 | No (40, 178, 129)-net in base 3 | [i] | ||
| 63 | No (40, 179, 129)-net in base 3 | [i] | ||
| 64 | No (40, 180, 129)-net in base 3 | [i] | ||
| 65 | No (40, 181, 129)-net in base 3 | [i] | ||
| 66 | No (40, 182, 129)-net in base 3 | [i] | ||
| 67 | No (40, 183, 129)-net in base 3 | [i] | ||
| 68 | No (40, 184, 129)-net in base 3 | [i] | ||
| 69 | No (40, 185, 129)-net in base 3 | [i] | ||
| 70 | No (40, 186, 129)-net in base 3 | [i] | ||
| 71 | No (40, 187, 129)-net in base 3 | [i] | ||
| 72 | No (40, 188, 129)-net in base 3 | [i] | ||
| 73 | No (40, 189, 129)-net in base 3 | [i] | ||
| 74 | No (40, 190, 129)-net in base 3 | [i] | ||
| 75 | No (40, 191, 129)-net in base 3 | [i] | ||
| 76 | No (40, 192, 129)-net in base 3 | [i] | ||
| 77 | No (40, 193, 129)-net in base 3 | [i] | ||
| 78 | No (40, 194, 129)-net in base 3 | [i] | ||
| 79 | No (40, 195, 129)-net in base 3 | [i] | ||
| 80 | No (40, 196, 129)-net in base 3 | [i] | ||