Information on Result #521416
There is no (35, 102, 115)-net in base 3, because extracting embedded orthogonal array would yield OA(3102, 115, S3, 67), but
- the linear programming bound shows that M ≥ 273892 744995 340833 777347 939263 771534 786080 723599 733441 / 56287 > 3102 [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 (35, 103, 115)-net in base 3 | [i] | m-Reduction | |
| 2 | No (35, 104, 115)-net in base 3 | [i] | ||
| 3 | No (35, 105, 115)-net in base 3 | [i] | ||
| 4 | No (35, 106, 115)-net in base 3 | [i] | ||
| 5 | No (35, 107, 115)-net in base 3 | [i] | ||
| 6 | No (35, 108, 115)-net in base 3 | [i] | ||
| 7 | No (35, 109, 115)-net in base 3 | [i] | ||
| 8 | No (35, 110, 115)-net in base 3 | [i] | ||
| 9 | No (35, 111, 115)-net in base 3 | [i] | ||
| 10 | No (35, 112, 115)-net in base 3 | [i] | ||
| 11 | No (35, 113, 115)-net in base 3 | [i] | ||
| 12 | No (35, 114, 115)-net in base 3 | [i] | ||
| 13 | No (35, 115, 115)-net in base 3 | [i] | ||
| 14 | No (35, 116, 115)-net in base 3 | [i] | ||
| 15 | No (35, 117, 115)-net in base 3 | [i] | ||
| 16 | No (35, 118, 115)-net in base 3 | [i] | ||
| 17 | No (35, 119, 115)-net in base 3 | [i] | ||
| 18 | No (35, 120, 115)-net in base 3 | [i] | ||
| 19 | No (35, 121, 115)-net in base 3 | [i] | ||
| 20 | No (35, 122, 115)-net in base 3 | [i] | ||
| 21 | No (35, 123, 115)-net in base 3 | [i] | ||
| 22 | No (35, 124, 115)-net in base 3 | [i] | ||
| 23 | No (35, 125, 115)-net in base 3 | [i] | ||
| 24 | No (35, 126, 115)-net in base 3 | [i] | ||
| 25 | No (35, 127, 115)-net in base 3 | [i] | ||
| 26 | No (35, 128, 115)-net in base 3 | [i] | ||
| 27 | No (35, 129, 115)-net in base 3 | [i] | ||
| 28 | No (35, 130, 115)-net in base 3 | [i] | ||
| 29 | No (35, 131, 115)-net in base 3 | [i] | ||
| 30 | No (35, 132, 115)-net in base 3 | [i] | ||
| 31 | No (35, 133, 115)-net in base 3 | [i] | ||
| 32 | No (35, 134, 115)-net in base 3 | [i] | ||
| 33 | No (35, 135, 115)-net in base 3 | [i] | ||
| 34 | No (35, 136, 115)-net in base 3 | [i] | ||
| 35 | No (35, 137, 115)-net in base 3 | [i] | ||
| 36 | No (35, 138, 115)-net in base 3 | [i] | ||
| 37 | No (35, 139, 115)-net in base 3 | [i] | ||
| 38 | No (35, 140, 115)-net in base 3 | [i] | ||
| 39 | No (35, 141, 115)-net in base 3 | [i] | ||
| 40 | No (35, 142, 115)-net in base 3 | [i] | ||
| 41 | No (35, 143, 115)-net in base 3 | [i] | ||
| 42 | No (35, 144, 115)-net in base 3 | [i] | ||
| 43 | No (35, 145, 115)-net in base 3 | [i] | ||
| 44 | No (35, 146, 115)-net in base 3 | [i] | ||
| 45 | No (35, 147, 115)-net in base 3 | [i] | ||
| 46 | No (35, 148, 115)-net in base 3 | [i] | ||
| 47 | No (35, 149, 115)-net in base 3 | [i] | ||
| 48 | No (35, 150, 115)-net in base 3 | [i] | ||
| 49 | No (35, 151, 115)-net in base 3 | [i] | ||
| 50 | No (35, 152, 115)-net in base 3 | [i] | ||
| 51 | No (35, 153, 115)-net in base 3 | [i] | ||
| 52 | No (35, 154, 115)-net in base 3 | [i] | ||
| 53 | No (35, 155, 115)-net in base 3 | [i] | ||
| 54 | No (35, 156, 115)-net in base 3 | [i] | ||
| 55 | No (35, 157, 115)-net in base 3 | [i] | ||
| 56 | No (35, 158, 115)-net in base 3 | [i] | ||
| 57 | No (35, 159, 115)-net in base 3 | [i] | ||
| 58 | No (35, 160, 115)-net in base 3 | [i] | ||
| 59 | No (35, 161, 115)-net in base 3 | [i] | ||
| 60 | No (35, 162, 115)-net in base 3 | [i] | ||
| 61 | No (35, 163, 115)-net in base 3 | [i] | ||
| 62 | No (35, 164, 115)-net in base 3 | [i] | ||
| 63 | No (35, 165, 115)-net in base 3 | [i] | ||
| 64 | No (35, 166, 115)-net in base 3 | [i] | ||
| 65 | No (35, 167, 115)-net in base 3 | [i] | ||
| 66 | No (35, 168, 115)-net in base 3 | [i] | ||
| 67 | No (35, 169, 115)-net in base 3 | [i] | ||
| 68 | No (35, 170, 115)-net in base 3 | [i] | ||
| 69 | No (35, 171, 115)-net in base 3 | [i] | ||
| 70 | No (35, 172, 115)-net in base 3 | [i] | ||
| 71 | No (35, 173, 115)-net in base 3 | [i] | ||