Information on Result #3042617
There is no (27, 153, 71)-net in base 3, because 16 times m-reduction would yield (27, 137, 71)-net in base 3, but
- extracting embedded OOA [i] would yield OOA(3137, 71, S3, 2, 110), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 10 442979 136963 283965 427040 323903 217220 344490 744684 442124 765996 751335 / 37 > 3137 [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.