Information on Result #521402
There is no (34, 100, 112)-net in base 3, because extracting embedded orthogonal array would yield OA(3100, 112, S3, 66), but
- the linear programming bound shows that M ≥ 337012 060714 431725 512045 406748 426703 296453 236034 239913 / 541025 > 3100 [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 (34, 101, 112)-net in base 3 | [i] | m-Reduction | |
| 2 | No (34, 102, 112)-net in base 3 | [i] | ||
| 3 | No (34, 103, 112)-net in base 3 | [i] | ||
| 4 | No (34, 104, 112)-net in base 3 | [i] | ||
| 5 | No (34, 105, 112)-net in base 3 | [i] | ||
| 6 | No (34, 106, 112)-net in base 3 | [i] | ||
| 7 | No (34, 107, 112)-net in base 3 | [i] | ||
| 8 | No (34, 108, 112)-net in base 3 | [i] | ||
| 9 | No (34, 109, 112)-net in base 3 | [i] | ||
| 10 | No (34, 110, 112)-net in base 3 | [i] | ||
| 11 | No (34, 111, 112)-net in base 3 | [i] | ||
| 12 | No (34, 112, 112)-net in base 3 | [i] | ||
| 13 | No (34, 113, 112)-net in base 3 | [i] | ||
| 14 | No (34, 114, 112)-net in base 3 | [i] | ||
| 15 | No (34, 115, 112)-net in base 3 | [i] | ||
| 16 | No (34, 116, 112)-net in base 3 | [i] | ||
| 17 | No (34, 117, 112)-net in base 3 | [i] | ||
| 18 | No (34, 118, 112)-net in base 3 | [i] | ||
| 19 | No (34, 119, 112)-net in base 3 | [i] | ||
| 20 | No (34, 120, 112)-net in base 3 | [i] | ||
| 21 | No (34, 121, 112)-net in base 3 | [i] | ||
| 22 | No (34, 122, 112)-net in base 3 | [i] | ||
| 23 | No (34, 123, 112)-net in base 3 | [i] | ||
| 24 | No (34, 124, 112)-net in base 3 | [i] | ||
| 25 | No (34, 125, 112)-net in base 3 | [i] | ||
| 26 | No (34, 126, 112)-net in base 3 | [i] | ||
| 27 | No (34, 127, 112)-net in base 3 | [i] | ||
| 28 | No (34, 128, 112)-net in base 3 | [i] | ||
| 29 | No (34, 129, 112)-net in base 3 | [i] | ||
| 30 | No (34, 130, 112)-net in base 3 | [i] | ||
| 31 | No (34, 131, 112)-net in base 3 | [i] | ||
| 32 | No (34, 132, 112)-net in base 3 | [i] | ||
| 33 | No (34, 133, 112)-net in base 3 | [i] | ||
| 34 | No (34, 134, 112)-net in base 3 | [i] | ||
| 35 | No (34, 135, 112)-net in base 3 | [i] | ||
| 36 | No (34, 136, 112)-net in base 3 | [i] | ||
| 37 | No (34, 137, 112)-net in base 3 | [i] | ||
| 38 | No (34, 138, 112)-net in base 3 | [i] | ||
| 39 | No (34, 139, 112)-net in base 3 | [i] | ||
| 40 | No (34, 140, 112)-net in base 3 | [i] | ||
| 41 | No (34, 141, 112)-net in base 3 | [i] | ||
| 42 | No (34, 142, 112)-net in base 3 | [i] | ||
| 43 | No (34, 143, 112)-net in base 3 | [i] | ||
| 44 | No (34, 144, 112)-net in base 3 | [i] | ||
| 45 | No (34, 145, 112)-net in base 3 | [i] | ||
| 46 | No (34, 146, 112)-net in base 3 | [i] | ||
| 47 | No (34, 147, 112)-net in base 3 | [i] | ||
| 48 | No (34, 148, 112)-net in base 3 | [i] | ||
| 49 | No (34, 149, 112)-net in base 3 | [i] | ||
| 50 | No (34, 150, 112)-net in base 3 | [i] | ||
| 51 | No (34, 151, 112)-net in base 3 | [i] | ||
| 52 | No (34, 152, 112)-net in base 3 | [i] | ||
| 53 | No (34, 153, 112)-net in base 3 | [i] | ||
| 54 | No (34, 154, 112)-net in base 3 | [i] | ||
| 55 | No (34, 155, 112)-net in base 3 | [i] | ||
| 56 | No (34, 156, 112)-net in base 3 | [i] | ||
| 57 | No (34, 157, 112)-net in base 3 | [i] | ||
| 58 | No (34, 158, 112)-net in base 3 | [i] | ||
| 59 | No (34, 159, 112)-net in base 3 | [i] | ||
| 60 | No (34, 160, 112)-net in base 3 | [i] | ||
| 61 | No (34, 161, 112)-net in base 3 | [i] | ||
| 62 | No (34, 162, 112)-net in base 3 | [i] | ||
| 63 | No (34, 163, 112)-net in base 3 | [i] | ||
| 64 | No (34, 164, 112)-net in base 3 | [i] | ||
| 65 | No (34, 165, 112)-net in base 3 | [i] | ||
| 66 | No (34, 166, 112)-net in base 3 | [i] | ||
| 67 | No (34, 167, 112)-net in base 3 | [i] | ||
| 68 | No (34, 168, 112)-net in base 3 | [i] | ||