Information on Result #521388
There is no (33, 97, 109)-net in base 3, because extracting embedded orthogonal array would yield OA(397, 109, S3, 64), but
- the linear programming bound shows that M ≥ 13 468083 991561 019023 891072 124538 296580 900734 840712 818463 / 597 447695 > 397 [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 (33, 98, 109)-net in base 3 | [i] | m-Reduction | |
| 2 | No (33, 99, 109)-net in base 3 | [i] | ||
| 3 | No (33, 100, 109)-net in base 3 | [i] | ||
| 4 | No (33, 101, 109)-net in base 3 | [i] | ||
| 5 | No (33, 102, 109)-net in base 3 | [i] | ||
| 6 | No (33, 103, 109)-net in base 3 | [i] | ||
| 7 | No (33, 104, 109)-net in base 3 | [i] | ||
| 8 | No (33, 105, 109)-net in base 3 | [i] | ||
| 9 | No (33, 106, 109)-net in base 3 | [i] | ||
| 10 | No (33, 107, 109)-net in base 3 | [i] | ||
| 11 | No (33, 108, 109)-net in base 3 | [i] | ||
| 12 | No (33, 109, 109)-net in base 3 | [i] | ||
| 13 | No (33, 110, 109)-net in base 3 | [i] | ||
| 14 | No (33, 111, 109)-net in base 3 | [i] | ||
| 15 | No (33, 112, 109)-net in base 3 | [i] | ||
| 16 | No (33, 113, 109)-net in base 3 | [i] | ||
| 17 | No (33, 114, 109)-net in base 3 | [i] | ||
| 18 | No (33, 115, 109)-net in base 3 | [i] | ||
| 19 | No (33, 116, 109)-net in base 3 | [i] | ||
| 20 | No (33, 117, 109)-net in base 3 | [i] | ||
| 21 | No (33, 118, 109)-net in base 3 | [i] | ||
| 22 | No (33, 119, 109)-net in base 3 | [i] | ||
| 23 | No (33, 120, 109)-net in base 3 | [i] | ||
| 24 | No (33, 121, 109)-net in base 3 | [i] | ||
| 25 | No (33, 122, 109)-net in base 3 | [i] | ||
| 26 | No (33, 123, 109)-net in base 3 | [i] | ||
| 27 | No (33, 124, 109)-net in base 3 | [i] | ||
| 28 | No (33, 125, 109)-net in base 3 | [i] | ||
| 29 | No (33, 126, 109)-net in base 3 | [i] | ||
| 30 | No (33, 127, 109)-net in base 3 | [i] | ||
| 31 | No (33, 128, 109)-net in base 3 | [i] | ||
| 32 | No (33, 129, 109)-net in base 3 | [i] | ||
| 33 | No (33, 130, 109)-net in base 3 | [i] | ||
| 34 | No (33, 131, 109)-net in base 3 | [i] | ||
| 35 | No (33, 132, 109)-net in base 3 | [i] | ||
| 36 | No (33, 133, 109)-net in base 3 | [i] | ||
| 37 | No (33, 134, 109)-net in base 3 | [i] | ||
| 38 | No (33, 135, 109)-net in base 3 | [i] | ||
| 39 | No (33, 136, 109)-net in base 3 | [i] | ||
| 40 | No (33, 137, 109)-net in base 3 | [i] | ||
| 41 | No (33, 138, 109)-net in base 3 | [i] | ||
| 42 | No (33, 139, 109)-net in base 3 | [i] | ||
| 43 | No (33, 140, 109)-net in base 3 | [i] | ||
| 44 | No (33, 141, 109)-net in base 3 | [i] | ||
| 45 | No (33, 142, 109)-net in base 3 | [i] | ||
| 46 | No (33, 143, 109)-net in base 3 | [i] | ||
| 47 | No (33, 144, 109)-net in base 3 | [i] | ||
| 48 | No (33, 145, 109)-net in base 3 | [i] | ||
| 49 | No (33, 146, 109)-net in base 3 | [i] | ||
| 50 | No (33, 147, 109)-net in base 3 | [i] | ||
| 51 | No (33, 148, 109)-net in base 3 | [i] | ||
| 52 | No (33, 149, 109)-net in base 3 | [i] | ||
| 53 | No (33, 150, 109)-net in base 3 | [i] | ||
| 54 | No (33, 151, 109)-net in base 3 | [i] | ||
| 55 | No (33, 152, 109)-net in base 3 | [i] | ||
| 56 | No (33, 153, 109)-net in base 3 | [i] | ||
| 57 | No (33, 154, 109)-net in base 3 | [i] | ||
| 58 | No (33, 155, 109)-net in base 3 | [i] | ||
| 59 | No (33, 156, 109)-net in base 3 | [i] | ||
| 60 | No (33, 157, 109)-net in base 3 | [i] | ||
| 61 | No (33, 158, 109)-net in base 3 | [i] | ||
| 62 | No (33, 159, 109)-net in base 3 | [i] | ||
| 63 | No (33, 160, 109)-net in base 3 | [i] | ||
| 64 | No (33, 161, 109)-net in base 3 | [i] | ||
| 65 | No (33, 162, 109)-net in base 3 | [i] | ||
| 66 | No (33, 163, 109)-net in base 3 | [i] | ||