Information on Result #521452
There is no (38, 108, 124)-net in base 3, because extracting embedded orthogonal array would yield OA(3108, 124, S3, 70), but
- the linear programming bound shows that M ≥ 37 454952 569242 421982 996691 395370 215650 157240 469539 761140 263717 / 10878 767680 > 3108 [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 (38, 109, 124)-net in base 3 | [i] | m-Reduction | |
| 2 | No (38, 110, 124)-net in base 3 | [i] | ||
| 3 | No (38, 111, 124)-net in base 3 | [i] | ||
| 4 | No (38, 112, 124)-net in base 3 | [i] | ||
| 5 | No (38, 113, 124)-net in base 3 | [i] | ||
| 6 | No (38, 114, 124)-net in base 3 | [i] | ||
| 7 | No (38, 115, 124)-net in base 3 | [i] | ||
| 8 | No (38, 116, 124)-net in base 3 | [i] | ||
| 9 | No (38, 117, 124)-net in base 3 | [i] | ||
| 10 | No (38, 118, 124)-net in base 3 | [i] | ||
| 11 | No (38, 119, 124)-net in base 3 | [i] | ||
| 12 | No (38, 120, 124)-net in base 3 | [i] | ||
| 13 | No (38, 121, 124)-net in base 3 | [i] | ||
| 14 | No (38, 122, 124)-net in base 3 | [i] | ||
| 15 | No (38, 123, 124)-net in base 3 | [i] | ||
| 16 | No (38, 124, 124)-net in base 3 | [i] | ||
| 17 | No (38, 125, 124)-net in base 3 | [i] | ||
| 18 | No (38, 126, 124)-net in base 3 | [i] | ||
| 19 | No (38, 127, 124)-net in base 3 | [i] | ||
| 20 | No (38, 128, 124)-net in base 3 | [i] | ||
| 21 | No (38, 129, 124)-net in base 3 | [i] | ||
| 22 | No (38, 130, 124)-net in base 3 | [i] | ||
| 23 | No (38, 131, 124)-net in base 3 | [i] | ||
| 24 | No (38, 132, 124)-net in base 3 | [i] | ||
| 25 | No (38, 133, 124)-net in base 3 | [i] | ||
| 26 | No (38, 134, 124)-net in base 3 | [i] | ||
| 27 | No (38, 135, 124)-net in base 3 | [i] | ||
| 28 | No (38, 136, 124)-net in base 3 | [i] | ||
| 29 | No (38, 137, 124)-net in base 3 | [i] | ||
| 30 | No (38, 138, 124)-net in base 3 | [i] | ||
| 31 | No (38, 139, 124)-net in base 3 | [i] | ||
| 32 | No (38, 140, 124)-net in base 3 | [i] | ||
| 33 | No (38, 141, 124)-net in base 3 | [i] | ||
| 34 | No (38, 142, 124)-net in base 3 | [i] | ||
| 35 | No (38, 143, 124)-net in base 3 | [i] | ||
| 36 | No (38, 144, 124)-net in base 3 | [i] | ||
| 37 | No (38, 145, 124)-net in base 3 | [i] | ||
| 38 | No (38, 146, 124)-net in base 3 | [i] | ||
| 39 | No (38, 147, 124)-net in base 3 | [i] | ||
| 40 | No (38, 148, 124)-net in base 3 | [i] | ||
| 41 | No (38, 149, 124)-net in base 3 | [i] | ||
| 42 | No (38, 150, 124)-net in base 3 | [i] | ||
| 43 | No (38, 151, 124)-net in base 3 | [i] | ||
| 44 | No (38, 152, 124)-net in base 3 | [i] | ||
| 45 | No (38, 153, 124)-net in base 3 | [i] | ||
| 46 | No (38, 154, 124)-net in base 3 | [i] | ||
| 47 | No (38, 155, 124)-net in base 3 | [i] | ||
| 48 | No (38, 156, 124)-net in base 3 | [i] | ||
| 49 | No (38, 157, 124)-net in base 3 | [i] | ||
| 50 | No (38, 158, 124)-net in base 3 | [i] | ||
| 51 | No (38, 159, 124)-net in base 3 | [i] | ||
| 52 | No (38, 160, 124)-net in base 3 | [i] | ||
| 53 | No (38, 161, 124)-net in base 3 | [i] | ||
| 54 | No (38, 162, 124)-net in base 3 | [i] | ||
| 55 | No (38, 163, 124)-net in base 3 | [i] | ||
| 56 | No (38, 164, 124)-net in base 3 | [i] | ||
| 57 | No (38, 165, 124)-net in base 3 | [i] | ||
| 58 | No (38, 166, 124)-net in base 3 | [i] | ||
| 59 | No (38, 167, 124)-net in base 3 | [i] | ||
| 60 | No (38, 168, 124)-net in base 3 | [i] | ||
| 61 | No (38, 169, 124)-net in base 3 | [i] | ||
| 62 | No (38, 170, 124)-net in base 3 | [i] | ||
| 63 | No (38, 171, 124)-net in base 3 | [i] | ||
| 64 | No (38, 172, 124)-net in base 3 | [i] | ||
| 65 | No (38, 173, 124)-net in base 3 | [i] | ||
| 66 | No (38, 174, 124)-net in base 3 | [i] | ||
| 67 | No (38, 175, 124)-net in base 3 | [i] | ||
| 68 | No (38, 176, 124)-net in base 3 | [i] | ||
| 69 | No (38, 177, 124)-net in base 3 | [i] | ||
| 70 | No (38, 178, 124)-net in base 3 | [i] | ||
| 71 | No (38, 179, 124)-net in base 3 | [i] | ||
| 72 | No (38, 180, 124)-net in base 3 | [i] | ||
| 73 | No (38, 181, 124)-net in base 3 | [i] | ||
| 74 | No (38, 182, 124)-net in base 3 | [i] | ||
| 75 | No (38, 183, 124)-net in base 3 | [i] | ||
| 76 | No (38, 184, 124)-net in base 3 | [i] | ||
| 77 | No (38, 185, 124)-net in base 3 | [i] | ||
| 78 | No (38, 186, 124)-net in base 3 | [i] | ||