Information on Result #3043217
There is no (30, 204, 78)-net in base 3, because 53 times m-reduction would yield (30, 151, 78)-net in base 3, but
- extracting embedded OOA [i] would yield OOA(3151, 78, S3, 2, 121), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 89 907201 863535 854420 702290 135762 284537 312963 394702 682637 089810 488324 824507 / 61 > 3151 [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.