Information on Result #3019549
There is no (33, 73, 76)-net in base 2, because 2 times m-reduction would yield (33, 71, 76)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(271, 76, S2, 38), but
- adding a parity check bit [i] would yield OA(272, 77, S2, 39), but
- the (dual) Plotkin bound shows that M ≥ 28334 198897 217871 282176 / 5 > 272 [i]
- adding a parity check bit [i] would yield OA(272, 77, S2, 39), 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.