Information on Result #3027820
There is no (89, 189, 191)-net in base 2, because 4 times m-reduction would yield (89, 185, 191)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(2185, 191, S2, 96), but
- adding a parity check bit [i] would yield OA(2186, 192, S2, 97), but
- the (dual) Plotkin bound shows that M ≥ 6277 101735 386680 763835 789423 207666 416102 355444 464034 512896 / 49 > 2186 [i]
- adding a parity check bit [i] would yield OA(2186, 192, S2, 97), 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.