Information on Result #3027722
There is no (88, 189, 189)-net in base 2, because 7 times m-reduction would yield (88, 182, 189)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(2182, 189, S2, 94), but
- adding a parity check bit [i] would yield OA(2183, 190, S2, 95), but
- the (dual) Plotkin bound shows that M ≥ 49 039857 307708 443467 467104 868809 893875 799651 909875 269632 / 3 > 2183 [i]
- adding a parity check bit [i] would yield OA(2183, 190, S2, 95), 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.