Information on Result #521530
There is no (50, 243, 124)-net in base 3, because extracting embedded OOA would yield OOA(3243, 124, S3, 2, 193), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 11770 601735 604729 357392 994529 091204 179090 149774 638786 261545 904624 128780 557652 664392 369199 237422 277220 766792 455464 859645 / 97 > 3243 [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 (50, 244, 124)-net in base 3 | [i] | m-Reduction | |
| 2 | No (50, 245, 124)-net in base 3 | [i] | ||
| 3 | No (50, 246, 124)-net in base 3 | [i] | ||
| 4 | No (50, 247, 124)-net in base 3 | [i] | ||
| 5 | No (50, 248, 124)-net in base 3 | [i] | ||
| 6 | No (50, 249, 124)-net in base 3 | [i] | ||
| 7 | No (50, 250, 124)-net in base 3 | [i] | ||