Information on Result #521309
There is no (28, 86, 94)-net in base 3, because extracting embedded orthogonal array would yield OA(386, 94, S3, 58), but
- the linear programming bound shows that M ≥ 2958 779649 581734 512377 183745 542610 568274 051211 / 23069 > 386 [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 (28, 87, 94)-net in base 3 | [i] | m-Reduction | |
| 2 | No (28, 88, 94)-net in base 3 | [i] | ||
| 3 | No (28, 89, 94)-net in base 3 | [i] | ||
| 4 | No (28, 90, 94)-net in base 3 | [i] | ||
| 5 | No (28, 91, 94)-net in base 3 | [i] | ||
| 6 | No (28, 92, 94)-net in base 3 | [i] | ||
| 7 | No (28, 93, 94)-net in base 3 | [i] | ||
| 8 | No (28, 94, 94)-net in base 3 | [i] | ||
| 9 | No (28, 95, 94)-net in base 3 | [i] | ||
| 10 | No (28, 96, 94)-net in base 3 | [i] | ||
| 11 | No (28, 97, 94)-net in base 3 | [i] | ||
| 12 | No (28, 98, 94)-net in base 3 | [i] | ||
| 13 | No (28, 99, 94)-net in base 3 | [i] | ||
| 14 | No (28, 100, 94)-net in base 3 | [i] | ||
| 15 | No (28, 101, 94)-net in base 3 | [i] | ||
| 16 | No (28, 102, 94)-net in base 3 | [i] | ||
| 17 | No (28, 103, 94)-net in base 3 | [i] | ||
| 18 | No (28, 104, 94)-net in base 3 | [i] | ||
| 19 | No (28, 105, 94)-net in base 3 | [i] | ||
| 20 | No (28, 106, 94)-net in base 3 | [i] | ||
| 21 | No (28, 107, 94)-net in base 3 | [i] | ||
| 22 | No (28, 108, 94)-net in base 3 | [i] | ||
| 23 | No (28, 109, 94)-net in base 3 | [i] | ||
| 24 | No (28, 110, 94)-net in base 3 | [i] | ||
| 25 | No (28, 111, 94)-net in base 3 | [i] | ||
| 26 | No (28, 112, 94)-net in base 3 | [i] | ||
| 27 | No (28, 113, 94)-net in base 3 | [i] | ||
| 28 | No (28, 114, 94)-net in base 3 | [i] | ||
| 29 | No (28, 115, 94)-net in base 3 | [i] | ||
| 30 | No (28, 116, 94)-net in base 3 | [i] | ||
| 31 | No (28, 117, 94)-net in base 3 | [i] | ||
| 32 | No (28, 118, 94)-net in base 3 | [i] | ||
| 33 | No (28, 119, 94)-net in base 3 | [i] | ||
| 34 | No (28, 120, 94)-net in base 3 | [i] | ||
| 35 | No (28, 121, 94)-net in base 3 | [i] | ||
| 36 | No (28, 122, 94)-net in base 3 | [i] | ||
| 37 | No (28, 123, 94)-net in base 3 | [i] | ||
| 38 | No (28, 124, 94)-net in base 3 | [i] | ||
| 39 | No (28, 125, 94)-net in base 3 | [i] | ||
| 40 | No (28, 126, 94)-net in base 3 | [i] | ||
| 41 | No (28, 127, 94)-net in base 3 | [i] | ||
| 42 | No (28, 128, 94)-net in base 3 | [i] | ||
| 43 | No (28, 129, 94)-net in base 3 | [i] | ||
| 44 | No (28, 130, 94)-net in base 3 | [i] | ||
| 45 | No (28, 131, 94)-net in base 3 | [i] | ||
| 46 | No (28, 132, 94)-net in base 3 | [i] | ||
| 47 | No (28, 133, 94)-net in base 3 | [i] | ||
| 48 | No (28, 134, 94)-net in base 3 | [i] | ||
| 49 | No (28, 135, 94)-net in base 3 | [i] | ||
| 50 | No (28, 136, 94)-net in base 3 | [i] | ||
| 51 | No (28, 137, 94)-net in base 3 | [i] | ||
| 52 | No (28, 138, 94)-net in base 3 | [i] | ||
| 53 | No (28, 139, 94)-net in base 3 | [i] | ||
| 54 | No (28, 140, 94)-net in base 3 | [i] | ||
| 55 | No (28, 141, 94)-net in base 3 | [i] | ||