Information on Result #521463
There is no (39, 114, 126)-net in base 3, because extracting embedded orthogonal array would yield OA(3114, 126, S3, 75), but
- the linear programming bound shows that M ≥ 30 712703 035837 543817 171656 466148 659734 050649 950249 413259 499491 / 12 402877 > 3114 [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 (39, 115, 126)-net in base 3 | [i] | m-Reduction | |
| 2 | No (39, 116, 126)-net in base 3 | [i] | ||
| 3 | No (39, 117, 126)-net in base 3 | [i] | ||
| 4 | No (39, 118, 126)-net in base 3 | [i] | ||
| 5 | No (39, 119, 126)-net in base 3 | [i] | ||
| 6 | No (39, 120, 126)-net in base 3 | [i] | ||
| 7 | No (39, 121, 126)-net in base 3 | [i] | ||
| 8 | No (39, 122, 126)-net in base 3 | [i] | ||
| 9 | No (39, 123, 126)-net in base 3 | [i] | ||
| 10 | No (39, 124, 126)-net in base 3 | [i] | ||
| 11 | No (39, 125, 126)-net in base 3 | [i] | ||
| 12 | No (39, 126, 126)-net in base 3 | [i] | ||
| 13 | No (39, 127, 126)-net in base 3 | [i] | ||
| 14 | No (39, 128, 126)-net in base 3 | [i] | ||
| 15 | No (39, 129, 126)-net in base 3 | [i] | ||
| 16 | No (39, 130, 126)-net in base 3 | [i] | ||
| 17 | No (39, 131, 126)-net in base 3 | [i] | ||
| 18 | No (39, 132, 126)-net in base 3 | [i] | ||
| 19 | No (39, 133, 126)-net in base 3 | [i] | ||
| 20 | No (39, 134, 126)-net in base 3 | [i] | ||
| 21 | No (39, 135, 126)-net in base 3 | [i] | ||
| 22 | No (39, 136, 126)-net in base 3 | [i] | ||
| 23 | No (39, 137, 126)-net in base 3 | [i] | ||
| 24 | No (39, 138, 126)-net in base 3 | [i] | ||
| 25 | No (39, 139, 126)-net in base 3 | [i] | ||
| 26 | No (39, 140, 126)-net in base 3 | [i] | ||
| 27 | No (39, 141, 126)-net in base 3 | [i] | ||
| 28 | No (39, 142, 126)-net in base 3 | [i] | ||
| 29 | No (39, 143, 126)-net in base 3 | [i] | ||
| 30 | No (39, 144, 126)-net in base 3 | [i] | ||
| 31 | No (39, 145, 126)-net in base 3 | [i] | ||
| 32 | No (39, 146, 126)-net in base 3 | [i] | ||
| 33 | No (39, 147, 126)-net in base 3 | [i] | ||
| 34 | No (39, 148, 126)-net in base 3 | [i] | ||
| 35 | No (39, 149, 126)-net in base 3 | [i] | ||
| 36 | No (39, 150, 126)-net in base 3 | [i] | ||
| 37 | No (39, 151, 126)-net in base 3 | [i] | ||
| 38 | No (39, 152, 126)-net in base 3 | [i] | ||
| 39 | No (39, 153, 126)-net in base 3 | [i] | ||
| 40 | No (39, 154, 126)-net in base 3 | [i] | ||
| 41 | No (39, 155, 126)-net in base 3 | [i] | ||
| 42 | No (39, 156, 126)-net in base 3 | [i] | ||
| 43 | No (39, 157, 126)-net in base 3 | [i] | ||
| 44 | No (39, 158, 126)-net in base 3 | [i] | ||
| 45 | No (39, 159, 126)-net in base 3 | [i] | ||
| 46 | No (39, 160, 126)-net in base 3 | [i] | ||
| 47 | No (39, 161, 126)-net in base 3 | [i] | ||
| 48 | No (39, 162, 126)-net in base 3 | [i] | ||
| 49 | No (39, 163, 126)-net in base 3 | [i] | ||
| 50 | No (39, 164, 126)-net in base 3 | [i] | ||
| 51 | No (39, 165, 126)-net in base 3 | [i] | ||
| 52 | No (39, 166, 126)-net in base 3 | [i] | ||
| 53 | No (39, 167, 126)-net in base 3 | [i] | ||
| 54 | No (39, 168, 126)-net in base 3 | [i] | ||
| 55 | No (39, 169, 126)-net in base 3 | [i] | ||
| 56 | No (39, 170, 126)-net in base 3 | [i] | ||
| 57 | No (39, 171, 126)-net in base 3 | [i] | ||
| 58 | No (39, 172, 126)-net in base 3 | [i] | ||
| 59 | No (39, 173, 126)-net in base 3 | [i] | ||
| 60 | No (39, 174, 126)-net in base 3 | [i] | ||
| 61 | No (39, 175, 126)-net in base 3 | [i] | ||
| 62 | No (39, 176, 126)-net in base 3 | [i] | ||
| 63 | No (39, 177, 126)-net in base 3 | [i] | ||
| 64 | No (39, 178, 126)-net in base 3 | [i] | ||
| 65 | No (39, 179, 126)-net in base 3 | [i] | ||
| 66 | No (39, 180, 126)-net in base 3 | [i] | ||
| 67 | No (39, 181, 126)-net in base 3 | [i] | ||
| 68 | No (39, 182, 126)-net in base 3 | [i] | ||
| 69 | No (39, 183, 126)-net in base 3 | [i] | ||
| 70 | No (39, 184, 126)-net in base 3 | [i] | ||
| 71 | No (39, 185, 126)-net in base 3 | [i] | ||
| 72 | No (39, 186, 126)-net in base 3 | [i] | ||
| 73 | No (39, 187, 126)-net in base 3 | [i] | ||
| 74 | No (39, 188, 126)-net in base 3 | [i] | ||
| 75 | No (39, 189, 126)-net in base 3 | [i] | ||
| 76 | No (39, 190, 126)-net in base 3 | [i] | ||
| 77 | No (39, 191, 126)-net in base 3 | [i] | ||