Information on Result #3041076
There is no (19, 158, 49)-net in base 3, because 16 times m-reduction would yield (19, 142, 49)-net in base 3, but
- extracting embedded OOA [i] 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
None.