Information on Result #3025437
There is no (68, 256, 87)-net in base 2, because 3 times m-reduction would yield (68, 253, 87)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(2253, 87, S2, 3, 185), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 694752 535423 897172 541425 910052 127447 119619 907993 843384 236745 504047 478777 839616 / 31 > 2253 [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.