Information on Result #521375
There is no (32, 94, 106)-net in base 3, because extracting embedded orthogonal array would yield OA(394, 106, S3, 62), but
- the linear programming bound shows that M ≥ 36 248218 958151 463616 231099 460182 029513 381562 380737 / 44872 > 394 [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 (32, 95, 106)-net in base 3 | [i] | m-Reduction | |
| 2 | No (32, 96, 106)-net in base 3 | [i] | ||
| 3 | No (32, 97, 106)-net in base 3 | [i] | ||
| 4 | No (32, 98, 106)-net in base 3 | [i] | ||
| 5 | No (32, 99, 106)-net in base 3 | [i] | ||
| 6 | No (32, 100, 106)-net in base 3 | [i] | ||
| 7 | No (32, 101, 106)-net in base 3 | [i] | ||
| 8 | No (32, 102, 106)-net in base 3 | [i] | ||
| 9 | No (32, 103, 106)-net in base 3 | [i] | ||
| 10 | No (32, 104, 106)-net in base 3 | [i] | ||
| 11 | No (32, 105, 106)-net in base 3 | [i] | ||
| 12 | No (32, 106, 106)-net in base 3 | [i] | ||
| 13 | No (32, 107, 106)-net in base 3 | [i] | ||
| 14 | No (32, 108, 106)-net in base 3 | [i] | ||
| 15 | No (32, 109, 106)-net in base 3 | [i] | ||
| 16 | No (32, 110, 106)-net in base 3 | [i] | ||
| 17 | No (32, 111, 106)-net in base 3 | [i] | ||
| 18 | No (32, 112, 106)-net in base 3 | [i] | ||
| 19 | No (32, 113, 106)-net in base 3 | [i] | ||
| 20 | No (32, 114, 106)-net in base 3 | [i] | ||
| 21 | No (32, 115, 106)-net in base 3 | [i] | ||
| 22 | No (32, 116, 106)-net in base 3 | [i] | ||
| 23 | No (32, 117, 106)-net in base 3 | [i] | ||
| 24 | No (32, 118, 106)-net in base 3 | [i] | ||
| 25 | No (32, 119, 106)-net in base 3 | [i] | ||
| 26 | No (32, 120, 106)-net in base 3 | [i] | ||
| 27 | No (32, 121, 106)-net in base 3 | [i] | ||
| 28 | No (32, 122, 106)-net in base 3 | [i] | ||
| 29 | No (32, 123, 106)-net in base 3 | [i] | ||
| 30 | No (32, 124, 106)-net in base 3 | [i] | ||
| 31 | No (32, 125, 106)-net in base 3 | [i] | ||
| 32 | No (32, 126, 106)-net in base 3 | [i] | ||
| 33 | No (32, 127, 106)-net in base 3 | [i] | ||
| 34 | No (32, 128, 106)-net in base 3 | [i] | ||
| 35 | No (32, 129, 106)-net in base 3 | [i] | ||
| 36 | No (32, 130, 106)-net in base 3 | [i] | ||
| 37 | No (32, 131, 106)-net in base 3 | [i] | ||
| 38 | No (32, 132, 106)-net in base 3 | [i] | ||
| 39 | No (32, 133, 106)-net in base 3 | [i] | ||
| 40 | No (32, 134, 106)-net in base 3 | [i] | ||
| 41 | No (32, 135, 106)-net in base 3 | [i] | ||
| 42 | No (32, 136, 106)-net in base 3 | [i] | ||
| 43 | No (32, 137, 106)-net in base 3 | [i] | ||
| 44 | No (32, 138, 106)-net in base 3 | [i] | ||
| 45 | No (32, 139, 106)-net in base 3 | [i] | ||
| 46 | No (32, 140, 106)-net in base 3 | [i] | ||
| 47 | No (32, 141, 106)-net in base 3 | [i] | ||
| 48 | No (32, 142, 106)-net in base 3 | [i] | ||
| 49 | No (32, 143, 106)-net in base 3 | [i] | ||
| 50 | No (32, 144, 106)-net in base 3 | [i] | ||
| 51 | No (32, 145, 106)-net in base 3 | [i] | ||
| 52 | No (32, 146, 106)-net in base 3 | [i] | ||
| 53 | No (32, 147, 106)-net in base 3 | [i] | ||
| 54 | No (32, 148, 106)-net in base 3 | [i] | ||
| 55 | No (32, 149, 106)-net in base 3 | [i] | ||
| 56 | No (32, 150, 106)-net in base 3 | [i] | ||
| 57 | No (32, 151, 106)-net in base 3 | [i] | ||
| 58 | No (32, 152, 106)-net in base 3 | [i] | ||
| 59 | No (32, 153, 106)-net in base 3 | [i] | ||
| 60 | No (32, 154, 106)-net in base 3 | [i] | ||
| 61 | No (32, 155, 106)-net in base 3 | [i] | ||
| 62 | No (32, 156, 106)-net in base 3 | [i] | ||
| 63 | No (32, 157, 106)-net in base 3 | [i] | ||
| 64 | No (32, 158, 106)-net in base 3 | [i] | ||
| 65 | No (32, 159, 106)-net in base 3 | [i] | ||