Information on Result #521429
There is no (36, 105, 118)-net in base 3, because extracting embedded orthogonal array would yield OA(3105, 118, S3, 69), but
- the linear programming bound shows that M ≥ 263 758713 430513 222927 586065 511011 987998 995736 826543 303683 / 1 764070 > 3105 [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 (36, 106, 118)-net in base 3 | [i] | m-Reduction | |
| 2 | No (36, 107, 118)-net in base 3 | [i] | ||
| 3 | No (36, 108, 118)-net in base 3 | [i] | ||
| 4 | No (36, 109, 118)-net in base 3 | [i] | ||
| 5 | No (36, 110, 118)-net in base 3 | [i] | ||
| 6 | No (36, 111, 118)-net in base 3 | [i] | ||
| 7 | No (36, 112, 118)-net in base 3 | [i] | ||
| 8 | No (36, 113, 118)-net in base 3 | [i] | ||
| 9 | No (36, 114, 118)-net in base 3 | [i] | ||
| 10 | No (36, 115, 118)-net in base 3 | [i] | ||
| 11 | No (36, 116, 118)-net in base 3 | [i] | ||
| 12 | No (36, 117, 118)-net in base 3 | [i] | ||
| 13 | No (36, 118, 118)-net in base 3 | [i] | ||
| 14 | No (36, 119, 118)-net in base 3 | [i] | ||
| 15 | No (36, 120, 118)-net in base 3 | [i] | ||
| 16 | No (36, 121, 118)-net in base 3 | [i] | ||
| 17 | No (36, 122, 118)-net in base 3 | [i] | ||
| 18 | No (36, 123, 118)-net in base 3 | [i] | ||
| 19 | No (36, 124, 118)-net in base 3 | [i] | ||
| 20 | No (36, 125, 118)-net in base 3 | [i] | ||
| 21 | No (36, 126, 118)-net in base 3 | [i] | ||
| 22 | No (36, 127, 118)-net in base 3 | [i] | ||
| 23 | No (36, 128, 118)-net in base 3 | [i] | ||
| 24 | No (36, 129, 118)-net in base 3 | [i] | ||
| 25 | No (36, 130, 118)-net in base 3 | [i] | ||
| 26 | No (36, 131, 118)-net in base 3 | [i] | ||
| 27 | No (36, 132, 118)-net in base 3 | [i] | ||
| 28 | No (36, 133, 118)-net in base 3 | [i] | ||
| 29 | No (36, 134, 118)-net in base 3 | [i] | ||
| 30 | No (36, 135, 118)-net in base 3 | [i] | ||
| 31 | No (36, 136, 118)-net in base 3 | [i] | ||
| 32 | No (36, 137, 118)-net in base 3 | [i] | ||
| 33 | No (36, 138, 118)-net in base 3 | [i] | ||
| 34 | No (36, 139, 118)-net in base 3 | [i] | ||
| 35 | No (36, 140, 118)-net in base 3 | [i] | ||
| 36 | No (36, 141, 118)-net in base 3 | [i] | ||
| 37 | No (36, 142, 118)-net in base 3 | [i] | ||
| 38 | No (36, 143, 118)-net in base 3 | [i] | ||
| 39 | No (36, 144, 118)-net in base 3 | [i] | ||
| 40 | No (36, 145, 118)-net in base 3 | [i] | ||
| 41 | No (36, 146, 118)-net in base 3 | [i] | ||
| 42 | No (36, 147, 118)-net in base 3 | [i] | ||
| 43 | No (36, 148, 118)-net in base 3 | [i] | ||
| 44 | No (36, 149, 118)-net in base 3 | [i] | ||
| 45 | No (36, 150, 118)-net in base 3 | [i] | ||
| 46 | No (36, 151, 118)-net in base 3 | [i] | ||
| 47 | No (36, 152, 118)-net in base 3 | [i] | ||
| 48 | No (36, 153, 118)-net in base 3 | [i] | ||
| 49 | No (36, 154, 118)-net in base 3 | [i] | ||
| 50 | No (36, 155, 118)-net in base 3 | [i] | ||
| 51 | No (36, 156, 118)-net in base 3 | [i] | ||
| 52 | No (36, 157, 118)-net in base 3 | [i] | ||
| 53 | No (36, 158, 118)-net in base 3 | [i] | ||
| 54 | No (36, 159, 118)-net in base 3 | [i] | ||
| 55 | No (36, 160, 118)-net in base 3 | [i] | ||
| 56 | No (36, 161, 118)-net in base 3 | [i] | ||
| 57 | No (36, 162, 118)-net in base 3 | [i] | ||
| 58 | No (36, 163, 118)-net in base 3 | [i] | ||
| 59 | No (36, 164, 118)-net in base 3 | [i] | ||
| 60 | No (36, 165, 118)-net in base 3 | [i] | ||
| 61 | No (36, 166, 118)-net in base 3 | [i] | ||
| 62 | No (36, 167, 118)-net in base 3 | [i] | ||
| 63 | No (36, 168, 118)-net in base 3 | [i] | ||
| 64 | No (36, 169, 118)-net in base 3 | [i] | ||
| 65 | No (36, 170, 118)-net in base 3 | [i] | ||
| 66 | No (36, 171, 118)-net in base 3 | [i] | ||
| 67 | No (36, 172, 118)-net in base 3 | [i] | ||
| 68 | No (36, 173, 118)-net in base 3 | [i] | ||
| 69 | No (36, 174, 118)-net in base 3 | [i] | ||
| 70 | No (36, 175, 118)-net in base 3 | [i] | ||
| 71 | No (36, 176, 118)-net in base 3 | [i] | ||
| 72 | No (36, 177, 118)-net in base 3 | [i] | ||