Information on Result #3026373
There is no (76, 159, 164)-net in base 2, because 1 times m-reduction would yield (76, 158, 164)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(2158, 164, S2, 82), but
- adding a parity check bit [i] would yield OA(2159, 165, S2, 83), but
- the (dual) Plotkin bound shows that M ≥ 5 846006 549323 611672 814739 330865 132078 623730 171904 / 7 > 2159 [i]
- adding a parity check bit [i] would yield OA(2159, 165, S2, 83), 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.