Information on Result #521167
There is no (19, 100, 52)-net in base 3, because extracting embedded OOA would yield OOA(3100, 52, S3, 2, 81), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 23 191988 432940 509896 640750 839452 957271 594838 490045 / 41 > 3100 [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 (19, 101, 52)-net in base 3 | [i] | m-Reduction | |
| 2 | No (19, 102, 52)-net in base 3 | [i] | ||
| 3 | No (19, 103, 52)-net in base 3 | [i] | ||
| 4 | No (19, 104, 52)-net in base 3 | [i] | ||
| 5 | No (19, 105, 52)-net in base 3 | [i] | ||
| 6 | No (19, 106, 52)-net in base 3 | [i] | ||
| 7 | No (19, 107, 52)-net in base 3 | [i] | ||
| 8 | No (19, 108, 52)-net in base 3 | [i] | ||
| 9 | No (19, 109, 52)-net in base 3 | [i] | ||
| 10 | No (19, 110, 52)-net in base 3 | [i] | ||
| 11 | No (19, 111, 52)-net in base 3 | [i] | ||
| 12 | No (19, 112, 52)-net in base 3 | [i] | ||
| 13 | No (19, 113, 52)-net in base 3 | [i] | ||
| 14 | No (19, 114, 52)-net in base 3 | [i] | ||
| 15 | No (19, 115, 52)-net in base 3 | [i] | ||
| 16 | No (19, 116, 52)-net in base 3 | [i] | ||
| 17 | No (19, 117, 52)-net in base 3 | [i] | ||
| 18 | No (19, 118, 52)-net in base 3 | [i] | ||
| 19 | No (19, 119, 52)-net in base 3 | [i] | ||
| 20 | No (19, 120, 52)-net in base 3 | [i] | ||
| 21 | No (19, 121, 52)-net in base 3 | [i] | ||
| 22 | No (19, 122, 52)-net in base 3 | [i] | ||
| 23 | No (19, 123, 52)-net in base 3 | [i] | ||
| 24 | No (19, 124, 52)-net in base 3 | [i] | ||
| 25 | No (19, 125, 52)-net in base 3 | [i] | ||
| 26 | No (19, 126, 52)-net in base 3 | [i] | ||
| 27 | No (19, 127, 52)-net in base 3 | [i] | ||
| 28 | No (19, 128, 52)-net in base 3 | [i] | ||
| 29 | No (19, 129, 52)-net in base 3 | [i] | ||
| 30 | No (19, 130, 52)-net in base 3 | [i] | ||
| 31 | No (19, 131, 52)-net in base 3 | [i] | ||
| 32 | No (19, 132, 52)-net in base 3 | [i] | ||
| 33 | No (19, 133, 52)-net in base 3 | [i] | ||
| 34 | No (19, 134, 52)-net in base 3 | [i] | ||
| 35 | No (19, 135, 52)-net in base 3 | [i] | ||
| 36 | No (19, 136, 52)-net in base 3 | [i] | ||
| 37 | No (19, 137, 52)-net in base 3 | [i] | ||
| 38 | No (19, 138, 52)-net in base 3 | [i] | ||
| 39 | No (19, 139, 52)-net in base 3 | [i] | ||
| 40 | No (19, 140, 52)-net in base 3 | [i] | ||
| 41 | No (19, 141, 52)-net in base 3 | [i] | ||