Information on Result #521361
There is no (31, 91, 103)-net in base 3, because extracting embedded orthogonal array would yield OA(391, 103, S3, 60), but
- the linear programming bound shows that M ≥ 4 638397 686588 101979 328150 167890 591454 318967 698009 / 161161 > 391 [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 (31, 92, 103)-net in base 3 | [i] | m-Reduction | |
| 2 | No (31, 93, 103)-net in base 3 | [i] | ||
| 3 | No (31, 94, 103)-net in base 3 | [i] | ||
| 4 | No (31, 95, 103)-net in base 3 | [i] | ||
| 5 | No (31, 96, 103)-net in base 3 | [i] | ||
| 6 | No (31, 97, 103)-net in base 3 | [i] | ||
| 7 | No (31, 98, 103)-net in base 3 | [i] | ||
| 8 | No (31, 99, 103)-net in base 3 | [i] | ||
| 9 | No (31, 100, 103)-net in base 3 | [i] | ||
| 10 | No (31, 101, 103)-net in base 3 | [i] | ||
| 11 | No (31, 102, 103)-net in base 3 | [i] | ||
| 12 | No (31, 103, 103)-net in base 3 | [i] | ||
| 13 | No (31, 104, 103)-net in base 3 | [i] | ||
| 14 | No (31, 105, 103)-net in base 3 | [i] | ||
| 15 | No (31, 106, 103)-net in base 3 | [i] | ||
| 16 | No (31, 107, 103)-net in base 3 | [i] | ||
| 17 | No (31, 108, 103)-net in base 3 | [i] | ||
| 18 | No (31, 109, 103)-net in base 3 | [i] | ||
| 19 | No (31, 110, 103)-net in base 3 | [i] | ||
| 20 | No (31, 111, 103)-net in base 3 | [i] | ||
| 21 | No (31, 112, 103)-net in base 3 | [i] | ||
| 22 | No (31, 113, 103)-net in base 3 | [i] | ||
| 23 | No (31, 114, 103)-net in base 3 | [i] | ||
| 24 | No (31, 115, 103)-net in base 3 | [i] | ||
| 25 | No (31, 116, 103)-net in base 3 | [i] | ||
| 26 | No (31, 117, 103)-net in base 3 | [i] | ||
| 27 | No (31, 118, 103)-net in base 3 | [i] | ||
| 28 | No (31, 119, 103)-net in base 3 | [i] | ||
| 29 | No (31, 120, 103)-net in base 3 | [i] | ||
| 30 | No (31, 121, 103)-net in base 3 | [i] | ||
| 31 | No (31, 122, 103)-net in base 3 | [i] | ||
| 32 | No (31, 123, 103)-net in base 3 | [i] | ||
| 33 | No (31, 124, 103)-net in base 3 | [i] | ||
| 34 | No (31, 125, 103)-net in base 3 | [i] | ||
| 35 | No (31, 126, 103)-net in base 3 | [i] | ||
| 36 | No (31, 127, 103)-net in base 3 | [i] | ||
| 37 | No (31, 128, 103)-net in base 3 | [i] | ||
| 38 | No (31, 129, 103)-net in base 3 | [i] | ||
| 39 | No (31, 130, 103)-net in base 3 | [i] | ||
| 40 | No (31, 131, 103)-net in base 3 | [i] | ||
| 41 | No (31, 132, 103)-net in base 3 | [i] | ||
| 42 | No (31, 133, 103)-net in base 3 | [i] | ||
| 43 | No (31, 134, 103)-net in base 3 | [i] | ||
| 44 | No (31, 135, 103)-net in base 3 | [i] | ||
| 45 | No (31, 136, 103)-net in base 3 | [i] | ||
| 46 | No (31, 137, 103)-net in base 3 | [i] | ||
| 47 | No (31, 138, 103)-net in base 3 | [i] | ||
| 48 | No (31, 139, 103)-net in base 3 | [i] | ||
| 49 | No (31, 140, 103)-net in base 3 | [i] | ||
| 50 | No (31, 141, 103)-net in base 3 | [i] | ||
| 51 | No (31, 142, 103)-net in base 3 | [i] | ||
| 52 | No (31, 143, 103)-net in base 3 | [i] | ||
| 53 | No (31, 144, 103)-net in base 3 | [i] | ||
| 54 | No (31, 145, 103)-net in base 3 | [i] | ||
| 55 | No (31, 146, 103)-net in base 3 | [i] | ||
| 56 | No (31, 147, 103)-net in base 3 | [i] | ||
| 57 | No (31, 148, 103)-net in base 3 | [i] | ||
| 58 | No (31, 149, 103)-net in base 3 | [i] | ||
| 59 | No (31, 150, 103)-net in base 3 | [i] | ||
| 60 | No (31, 151, 103)-net in base 3 | [i] | ||
| 61 | No (31, 152, 103)-net in base 3 | [i] | ||
| 62 | No (31, 153, 103)-net in base 3 | [i] | ||
| 63 | No (31, 154, 103)-net in base 3 | [i] | ||