Information on Result #521168
There is no (19, 142, 49)-net in base 3, because extracting embedded OOA would yield OOA(3142, 49, S3, 3, 123), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 2030 115144 225662 402879 016638 966785 427634 969000 766655 549054 509768 459524 / 31 > 3142 [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, 143, 49)-net in base 3 | [i] | m-Reduction | |
| 2 | No (19, 144, 49)-net in base 3 | [i] | ||
| 3 | No (19, 145, 49)-net in base 3 | [i] | ||
| 4 | No (19, 146, 49)-net in base 3 | [i] | ||
| 5 | No (19, 147, 49)-net in base 3 | [i] | ||
| 6 | No (19, 148, 49)-net in base 3 | [i] | ||
| 7 | No (19, 149, 49)-net in base 3 | [i] | ||
| 8 | No (19, 150, 49)-net in base 3 | [i] | ||
| 9 | No (19, 151, 49)-net in base 3 | [i] | ||
| 10 | No (19, 152, 49)-net in base 3 | [i] | ||
| 11 | No (19, 153, 49)-net in base 3 | [i] | ||
| 12 | No (19, 154, 49)-net in base 3 | [i] | ||
| 13 | No (19, 155, 49)-net in base 3 | [i] | ||
| 14 | No (19, 156, 49)-net in base 3 | [i] | ||
| 15 | No (19, 157, 49)-net in base 3 | [i] | ||
| 16 | No (19, 158, 49)-net in base 3 | [i] | ||
| 17 | No (19, 159, 49)-net in base 3 | [i] | ||
| 18 | No (19, 160, 49)-net in base 3 | [i] | ||
| 19 | No (19, 161, 49)-net in base 3 | [i] | ||
| 20 | No (19, 162, 49)-net in base 3 | [i] | ||
| 21 | No (19, 163, 49)-net in base 3 | [i] | ||
| 22 | No (19, 164, 49)-net in base 3 | [i] | ||
| 23 | No (19, 165, 49)-net in base 3 | [i] | ||
| 24 | No (19, 166, 49)-net in base 3 | [i] | ||
| 25 | No (19, 167, 49)-net in base 3 | [i] | ||
| 26 | No (19, 168, 49)-net in base 3 | [i] | ||
| 27 | No (19, 169, 49)-net in base 3 | [i] | ||
| 28 | No (19, 170, 49)-net in base 3 | [i] | ||
| 29 | No (19, 171, 49)-net in base 3 | [i] | ||
| 30 | No (19, 172, 49)-net in base 3 | [i] | ||
| 31 | No (19, 173, 49)-net in base 3 | [i] | ||
| 32 | No (19, 174, 49)-net in base 3 | [i] | ||
| 33 | No (19, 175, 49)-net in base 3 | [i] | ||
| 34 | No (19, 176, 49)-net in base 3 | [i] | ||
| 35 | No (19, 177, 49)-net in base 3 | [i] | ||
| 36 | No (19, 178, 49)-net in base 3 | [i] | ||
| 37 | No (19, 179, 49)-net in base 3 | [i] | ||
| 38 | No (19, 180, 49)-net in base 3 | [i] | ||
| 39 | No (19, 181, 49)-net in base 3 | [i] | ||
| 40 | No (19, 182, 49)-net in base 3 | [i] | ||
| 41 | No (19, 183, 49)-net in base 3 | [i] | ||
| 42 | No (19, 184, 49)-net in base 3 | [i] | ||
| 43 | No (19, 185, 49)-net in base 3 | [i] | ||
| 44 | No (19, 186, 49)-net in base 3 | [i] | ||