Information on Result #3015131
There is no (12, 72, 20)-net in base 2, because 17 times m-reduction would yield (12, 55, 20)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(255, 20, S2, 3, 43), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 432345 564227 567616 / 11 > 255 [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.