Information on Result #521500
There is no (43, 125, 138)-net in base 3, because extracting embedded orthogonal array would yield OA(3125, 138, S3, 82), but
- the linear programming bound shows that M ≥ 2 604298 500822 942421 007731 043738 827010 505663 123983 033715 065100 424407 / 4 505323 > 3125 [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 (43, 126, 138)-net in base 3 | [i] | m-Reduction | |
| 2 | No (43, 127, 138)-net in base 3 | [i] | ||
| 3 | No (43, 128, 138)-net in base 3 | [i] | ||
| 4 | No (43, 129, 138)-net in base 3 | [i] | ||
| 5 | No (43, 130, 138)-net in base 3 | [i] | ||
| 6 | No (43, 131, 138)-net in base 3 | [i] | ||
| 7 | No (43, 132, 138)-net in base 3 | [i] | ||
| 8 | No (43, 133, 138)-net in base 3 | [i] | ||
| 9 | No (43, 134, 138)-net in base 3 | [i] | ||
| 10 | No (43, 135, 138)-net in base 3 | [i] | ||
| 11 | No (43, 136, 138)-net in base 3 | [i] | ||
| 12 | No (43, 137, 138)-net in base 3 | [i] | ||
| 13 | No (43, 138, 138)-net in base 3 | [i] | ||
| 14 | No (43, 139, 138)-net in base 3 | [i] | ||
| 15 | No (43, 140, 138)-net in base 3 | [i] | ||
| 16 | No (43, 141, 138)-net in base 3 | [i] | ||
| 17 | No (43, 142, 138)-net in base 3 | [i] | ||
| 18 | No (43, 143, 138)-net in base 3 | [i] | ||
| 19 | No (43, 144, 138)-net in base 3 | [i] | ||
| 20 | No (43, 145, 138)-net in base 3 | [i] | ||
| 21 | No (43, 146, 138)-net in base 3 | [i] | ||
| 22 | No (43, 147, 138)-net in base 3 | [i] | ||
| 23 | No (43, 148, 138)-net in base 3 | [i] | ||
| 24 | No (43, 149, 138)-net in base 3 | [i] | ||
| 25 | No (43, 150, 138)-net in base 3 | [i] | ||
| 26 | No (43, 151, 138)-net in base 3 | [i] | ||
| 27 | No (43, 152, 138)-net in base 3 | [i] | ||
| 28 | No (43, 153, 138)-net in base 3 | [i] | ||
| 29 | No (43, 154, 138)-net in base 3 | [i] | ||
| 30 | No (43, 155, 138)-net in base 3 | [i] | ||
| 31 | No (43, 156, 138)-net in base 3 | [i] | ||
| 32 | No (43, 157, 138)-net in base 3 | [i] | ||
| 33 | No (43, 158, 138)-net in base 3 | [i] | ||
| 34 | No (43, 159, 138)-net in base 3 | [i] | ||
| 35 | No (43, 160, 138)-net in base 3 | [i] | ||
| 36 | No (43, 161, 138)-net in base 3 | [i] | ||
| 37 | No (43, 162, 138)-net in base 3 | [i] | ||
| 38 | No (43, 163, 138)-net in base 3 | [i] | ||
| 39 | No (43, 164, 138)-net in base 3 | [i] | ||
| 40 | No (43, 165, 138)-net in base 3 | [i] | ||
| 41 | No (43, 166, 138)-net in base 3 | [i] | ||
| 42 | No (43, 167, 138)-net in base 3 | [i] | ||
| 43 | No (43, 168, 138)-net in base 3 | [i] | ||
| 44 | No (43, 169, 138)-net in base 3 | [i] | ||
| 45 | No (43, 170, 138)-net in base 3 | [i] | ||
| 46 | No (43, 171, 138)-net in base 3 | [i] | ||
| 47 | No (43, 172, 138)-net in base 3 | [i] | ||
| 48 | No (43, 173, 138)-net in base 3 | [i] | ||
| 49 | No (43, 174, 138)-net in base 3 | [i] | ||
| 50 | No (43, 175, 138)-net in base 3 | [i] | ||
| 51 | No (43, 176, 138)-net in base 3 | [i] | ||
| 52 | No (43, 177, 138)-net in base 3 | [i] | ||
| 53 | No (43, 178, 138)-net in base 3 | [i] | ||
| 54 | No (43, 179, 138)-net in base 3 | [i] | ||
| 55 | No (43, 180, 138)-net in base 3 | [i] | ||
| 56 | No (43, 181, 138)-net in base 3 | [i] | ||
| 57 | No (43, 182, 138)-net in base 3 | [i] | ||
| 58 | No (43, 183, 138)-net in base 3 | [i] | ||
| 59 | No (43, 184, 138)-net in base 3 | [i] | ||
| 60 | No (43, 185, 138)-net in base 3 | [i] | ||
| 61 | No (43, 186, 138)-net in base 3 | [i] | ||
| 62 | No (43, 187, 138)-net in base 3 | [i] | ||
| 63 | No (43, 188, 138)-net in base 3 | [i] | ||
| 64 | No (43, 189, 138)-net in base 3 | [i] | ||
| 65 | No (43, 190, 138)-net in base 3 | [i] | ||
| 66 | No (43, 191, 138)-net in base 3 | [i] | ||
| 67 | No (43, 192, 138)-net in base 3 | [i] | ||
| 68 | No (43, 193, 138)-net in base 3 | [i] | ||
| 69 | No (43, 194, 138)-net in base 3 | [i] | ||
| 70 | No (43, 195, 138)-net in base 3 | [i] | ||
| 71 | No (43, 196, 138)-net in base 3 | [i] | ||
| 72 | No (43, 197, 138)-net in base 3 | [i] | ||
| 73 | No (43, 198, 138)-net in base 3 | [i] | ||
| 74 | No (43, 199, 138)-net in base 3 | [i] | ||
| 75 | No (43, 200, 138)-net in base 3 | [i] | ||
| 76 | No (43, 201, 138)-net in base 3 | [i] | ||
| 77 | No (43, 202, 138)-net in base 3 | [i] | ||
| 78 | No (43, 203, 138)-net in base 3 | [i] | ||
| 79 | No (43, 204, 138)-net in base 3 | [i] | ||
| 80 | No (43, 205, 138)-net in base 3 | [i] | ||
| 81 | No (43, 206, 138)-net in base 3 | [i] | ||
| 82 | No (43, 207, 138)-net in base 3 | [i] | ||
| 83 | No (43, 208, 138)-net in base 3 | [i] | ||
| 84 | No (43, 209, 138)-net in base 3 | [i] | ||