Information on Result #3016453
There is no (18, 41, 45)-net in base 2, because 1 times m-reduction would yield (18, 40, 45)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(240, 45, S2, 22), but
- adding a parity check bit [i] would yield OA(241, 46, S2, 23), but
- the (dual) Plotkin bound shows that M ≥ 8 796093 022208 / 3 > 241 [i]
- adding a parity check bit [i] would yield OA(241, 46, S2, 23), but
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.