Information on Result #3017530
There is no (23, 52, 55)-net in base 2, because 1 times m-reduction would yield (23, 51, 55)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(251, 55, S2, 28), but
- adding a parity check bit [i] would yield OA(252, 56, S2, 29), but
- the (dual) Plotkin bound shows that M ≥ 72057 594037 927936 / 15 > 252 [i]
- adding a parity check bit [i] would yield OA(252, 56, S2, 29), 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.