Information on Result #521181
There is no (20, 105, 55)-net in base 3, because extracting embedded OOA would yield OOA(3105, 55, S3, 2, 85), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 6762 783827 045452 685860 442944 784482 340397 054903 697122 / 43 > 3105 [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 (20, 106, 55)-net in base 3 | [i] | m-Reduction | |
| 2 | No (20, 107, 55)-net in base 3 | [i] | ||
| 3 | No (20, 108, 55)-net in base 3 | [i] | ||
| 4 | No (20, 109, 55)-net in base 3 | [i] | ||
| 5 | No (20, 110, 55)-net in base 3 | [i] | ||
| 6 | No (20, 111, 55)-net in base 3 | [i] | ||
| 7 | No (20, 112, 55)-net in base 3 | [i] | ||
| 8 | No (20, 113, 55)-net in base 3 | [i] | ||
| 9 | No (20, 114, 55)-net in base 3 | [i] | ||
| 10 | No (20, 115, 55)-net in base 3 | [i] | ||
| 11 | No (20, 116, 55)-net in base 3 | [i] | ||
| 12 | No (20, 117, 55)-net in base 3 | [i] | ||
| 13 | No (20, 118, 55)-net in base 3 | [i] | ||
| 14 | No (20, 119, 55)-net in base 3 | [i] | ||
| 15 | No (20, 120, 55)-net in base 3 | [i] | ||
| 16 | No (20, 121, 55)-net in base 3 | [i] | ||
| 17 | No (20, 122, 55)-net in base 3 | [i] | ||
| 18 | No (20, 123, 55)-net in base 3 | [i] | ||
| 19 | No (20, 124, 55)-net in base 3 | [i] | ||
| 20 | No (20, 125, 55)-net in base 3 | [i] | ||
| 21 | No (20, 126, 55)-net in base 3 | [i] | ||
| 22 | No (20, 127, 55)-net in base 3 | [i] | ||
| 23 | No (20, 128, 55)-net in base 3 | [i] | ||
| 24 | No (20, 129, 55)-net in base 3 | [i] | ||
| 25 | No (20, 130, 55)-net in base 3 | [i] | ||
| 26 | No (20, 131, 55)-net in base 3 | [i] | ||
| 27 | No (20, 132, 55)-net in base 3 | [i] | ||
| 28 | No (20, 133, 55)-net in base 3 | [i] | ||
| 29 | No (20, 134, 55)-net in base 3 | [i] | ||
| 30 | No (20, 135, 55)-net in base 3 | [i] | ||
| 31 | No (20, 136, 55)-net in base 3 | [i] | ||
| 32 | No (20, 137, 55)-net in base 3 | [i] | ||
| 33 | No (20, 138, 55)-net in base 3 | [i] | ||
| 34 | No (20, 139, 55)-net in base 3 | [i] | ||
| 35 | No (20, 140, 55)-net in base 3 | [i] | ||
| 36 | No (20, 141, 55)-net in base 3 | [i] | ||
| 37 | No (20, 142, 55)-net in base 3 | [i] | ||
| 38 | No (20, 143, 55)-net in base 3 | [i] | ||
| 39 | No (20, 144, 55)-net in base 3 | [i] | ||
| 40 | No (20, 145, 55)-net in base 3 | [i] | ||
| 41 | No (20, 146, 55)-net in base 3 | [i] | ||
| 42 | No (20, 147, 55)-net in base 3 | [i] | ||