Information on Result #3028400
There is no (95, 209, 203)-net in base 2, because 12 times m-reduction would yield (95, 197, 203)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(2197, 203, S2, 102), but
- adding a parity check bit [i] would yield OA(2198, 204, S2, 103), but
- the (dual) Plotkin bound shows that M ≥ 6 427752 177035 961102 167848 369364 650410 088811 975131 171341 205504 / 13 > 2198 [i]
- adding a parity check bit [i] would yield OA(2198, 204, S2, 103), 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.