Information on Result #3022606
There is no (50, 112, 111)-net in base 2, because 6 times m-reduction would yield (50, 106, 111)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(2106, 111, S2, 56), but
- adding a parity check bit [i] would yield OA(2107, 112, S2, 57), but
- the (dual) Plotkin bound shows that M ≥ 5192 296858 534827 628530 496329 220096 / 29 > 2107 [i]
- adding a parity check bit [i] would yield OA(2107, 112, S2, 57), 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.