Information on Result #521328
There is no (29, 89, 97)-net in base 3, because extracting embedded orthogonal array would yield OA(389, 97, S3, 60), but
- the linear programming bound shows that M ≥ 532344 681908 373843 992394 006465 724030 651148 098857 / 151585 > 389 [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 (29, 90, 97)-net in base 3 | [i] | m-Reduction | |
| 2 | No (29, 91, 97)-net in base 3 | [i] | ||
| 3 | No (29, 92, 97)-net in base 3 | [i] | ||
| 4 | No (29, 93, 97)-net in base 3 | [i] | ||
| 5 | No (29, 94, 97)-net in base 3 | [i] | ||
| 6 | No (29, 95, 97)-net in base 3 | [i] | ||
| 7 | No (29, 96, 97)-net in base 3 | [i] | ||
| 8 | No (29, 97, 97)-net in base 3 | [i] | ||
| 9 | No (29, 98, 97)-net in base 3 | [i] | ||
| 10 | No (29, 99, 97)-net in base 3 | [i] | ||
| 11 | No (29, 100, 97)-net in base 3 | [i] | ||
| 12 | No (29, 101, 97)-net in base 3 | [i] | ||
| 13 | No (29, 102, 97)-net in base 3 | [i] | ||
| 14 | No (29, 103, 97)-net in base 3 | [i] | ||
| 15 | No (29, 104, 97)-net in base 3 | [i] | ||
| 16 | No (29, 105, 97)-net in base 3 | [i] | ||
| 17 | No (29, 106, 97)-net in base 3 | [i] | ||
| 18 | No (29, 107, 97)-net in base 3 | [i] | ||
| 19 | No (29, 108, 97)-net in base 3 | [i] | ||
| 20 | No (29, 109, 97)-net in base 3 | [i] | ||
| 21 | No (29, 110, 97)-net in base 3 | [i] | ||
| 22 | No (29, 111, 97)-net in base 3 | [i] | ||
| 23 | No (29, 112, 97)-net in base 3 | [i] | ||
| 24 | No (29, 113, 97)-net in base 3 | [i] | ||
| 25 | No (29, 114, 97)-net in base 3 | [i] | ||
| 26 | No (29, 115, 97)-net in base 3 | [i] | ||
| 27 | No (29, 116, 97)-net in base 3 | [i] | ||
| 28 | No (29, 117, 97)-net in base 3 | [i] | ||
| 29 | No (29, 118, 97)-net in base 3 | [i] | ||
| 30 | No (29, 119, 97)-net in base 3 | [i] | ||
| 31 | No (29, 120, 97)-net in base 3 | [i] | ||
| 32 | No (29, 121, 97)-net in base 3 | [i] | ||
| 33 | No (29, 122, 97)-net in base 3 | [i] | ||
| 34 | No (29, 123, 97)-net in base 3 | [i] | ||
| 35 | No (29, 124, 97)-net in base 3 | [i] | ||
| 36 | No (29, 125, 97)-net in base 3 | [i] | ||
| 37 | No (29, 126, 97)-net in base 3 | [i] | ||
| 38 | No (29, 127, 97)-net in base 3 | [i] | ||
| 39 | No (29, 128, 97)-net in base 3 | [i] | ||
| 40 | No (29, 129, 97)-net in base 3 | [i] | ||
| 41 | No (29, 130, 97)-net in base 3 | [i] | ||
| 42 | No (29, 131, 97)-net in base 3 | [i] | ||
| 43 | No (29, 132, 97)-net in base 3 | [i] | ||
| 44 | No (29, 133, 97)-net in base 3 | [i] | ||
| 45 | No (29, 134, 97)-net in base 3 | [i] | ||
| 46 | No (29, 135, 97)-net in base 3 | [i] | ||
| 47 | No (29, 136, 97)-net in base 3 | [i] | ||
| 48 | No (29, 137, 97)-net in base 3 | [i] | ||
| 49 | No (29, 138, 97)-net in base 3 | [i] | ||
| 50 | No (29, 139, 97)-net in base 3 | [i] | ||
| 51 | No (29, 140, 97)-net in base 3 | [i] | ||
| 52 | No (29, 141, 97)-net in base 3 | [i] | ||
| 53 | No (29, 142, 97)-net in base 3 | [i] | ||
| 54 | No (29, 143, 97)-net in base 3 | [i] | ||
| 55 | No (29, 144, 97)-net in base 3 | [i] | ||
| 56 | No (29, 145, 97)-net in base 3 | [i] | ||