Information on Result #3028485
There is no (96, 203, 205)-net in base 2, because 5 times m-reduction would yield (96, 198, 205)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(2198, 205, S2, 102), but
- adding a parity check bit [i] would yield OA(2199, 206, S2, 103), but
- the (dual) Plotkin bound shows that M ≥ 12 855504 354071 922204 335696 738729 300820 177623 950262 342682 411008 / 13 > 2199 [i]
- adding a parity check bit [i] would yield OA(2199, 206, 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.