Information on Result #3022094
There is no (47, 100, 105)-net in base 2, because 1 times m-reduction would yield (47, 99, 105)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(299, 105, S2, 52), but
- adding a parity check bit [i] would yield OA(2100, 106, S2, 53), but
- the (dual) Plotkin bound shows that M ≥ 40 564819 207303 340847 894502 572032 / 27 > 2100 [i]
- adding a parity check bit [i] would yield OA(2100, 106, S2, 53), 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.