Information on Result #3014649
There is no (10, 56, 18)-net in base 2, because 8 times m-reduction would yield (10, 48, 18)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(248, 18, S2, 3, 38), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 4503 599627 370496 / 13 > 248 [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.