Information on Result #521155
There is no (18, 96, 50)-net in base 3, because extracting embedded OOA would yield OOA(396, 50, S3, 2, 78), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 629905 858672 458293 489008 047491 314888 858131 415779 / 79 > 396 [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 (18, 97, 50)-net in base 3 | [i] | m-Reduction | |
| 2 | No (18, 98, 50)-net in base 3 | [i] | ||
| 3 | No (18, 99, 50)-net in base 3 | [i] | ||
| 4 | No (18, 100, 50)-net in base 3 | [i] | ||
| 5 | No (18, 101, 50)-net in base 3 | [i] | ||
| 6 | No (18, 102, 50)-net in base 3 | [i] | ||
| 7 | No (18, 103, 50)-net in base 3 | [i] | ||
| 8 | No (18, 104, 50)-net in base 3 | [i] | ||
| 9 | No (18, 105, 50)-net in base 3 | [i] | ||
| 10 | No (18, 106, 50)-net in base 3 | [i] | ||
| 11 | No (18, 107, 50)-net in base 3 | [i] | ||
| 12 | No (18, 108, 50)-net in base 3 | [i] | ||
| 13 | No (18, 109, 50)-net in base 3 | [i] | ||
| 14 | No (18, 110, 50)-net in base 3 | [i] | ||
| 15 | No (18, 111, 50)-net in base 3 | [i] | ||
| 16 | No (18, 112, 50)-net in base 3 | [i] | ||
| 17 | No (18, 113, 50)-net in base 3 | [i] | ||
| 18 | No (18, 114, 50)-net in base 3 | [i] | ||
| 19 | No (18, 115, 50)-net in base 3 | [i] | ||
| 20 | No (18, 116, 50)-net in base 3 | [i] | ||
| 21 | No (18, 117, 50)-net in base 3 | [i] | ||
| 22 | No (18, 118, 50)-net in base 3 | [i] | ||
| 23 | No (18, 119, 50)-net in base 3 | [i] | ||
| 24 | No (18, 120, 50)-net in base 3 | [i] | ||
| 25 | No (18, 121, 50)-net in base 3 | [i] | ||
| 26 | No (18, 122, 50)-net in base 3 | [i] | ||
| 27 | No (18, 123, 50)-net in base 3 | [i] | ||
| 28 | No (18, 124, 50)-net in base 3 | [i] | ||
| 29 | No (18, 125, 50)-net in base 3 | [i] | ||
| 30 | No (18, 126, 50)-net in base 3 | [i] | ||
| 31 | No (18, 127, 50)-net in base 3 | [i] | ||
| 32 | No (18, 128, 50)-net in base 3 | [i] | ||
| 33 | No (18, 129, 50)-net in base 3 | [i] | ||
| 34 | No (18, 130, 50)-net in base 3 | [i] | ||
| 35 | No (18, 131, 50)-net in base 3 | [i] | ||
| 36 | No (18, 132, 50)-net in base 3 | [i] | ||
| 37 | No (18, 133, 50)-net in base 3 | [i] | ||
| 38 | No (18, 134, 50)-net in base 3 | [i] | ||
| 39 | No (18, 135, 50)-net in base 3 | [i] | ||