Information on Result #3026129
There is no (74, 157, 160)-net in base 2, because 3 times m-reduction would yield (74, 154, 160)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(2154, 160, S2, 80), but
- adding a parity check bit [i] would yield OA(2155, 161, S2, 81), but
- the (dual) Plotkin bound shows that M ≥ 2 192252 455996 354377 305527 249074 424529 483898 814464 / 41 > 2155 [i]
- adding a parity check bit [i] would yield OA(2155, 161, S2, 81), 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.