Information on Result #3026857
There is no (80, 178, 172)-net in base 2, because 12 times m-reduction would yield (80, 166, 172)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(2166, 172, S2, 86), but
- adding a parity check bit [i] would yield OA(2167, 173, S2, 87), but
- the (dual) Plotkin bound shows that M ≥ 2244 866514 940266 882360 859903 052210 718191 512386 011136 / 11 > 2167 [i]
- adding a parity check bit [i] would yield OA(2167, 173, S2, 87), 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.