Information on Result #3021885
There is no (45, 251, 56)-net in base 2, because 34 times m-reduction would yield (45, 217, 56)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(2217, 56, S2, 4, 172), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 40 439920 000725 959692 000522 630529 446010 455716 633810 858721 655415 373824 / 173 > 2217 [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.