Information on Result #3022929
There is no (52, 111, 115)-net in base 2, because 1 times m-reduction would yield (52, 110, 115)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(2110, 115, S2, 58), but
- adding a parity check bit [i] would yield OA(2111, 116, S2, 59), but
- the (dual) Plotkin bound shows that M ≥ 41538 374868 278621 028243 970633 760768 / 15 > 2111 [i]
- adding a parity check bit [i] would yield OA(2111, 116, S2, 59), 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.