Information on Result #3018359
There is no (27, 61, 64)-net in base 2, because 2 times m-reduction would yield (27, 59, 64)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(259, 64, S2, 32), but
- adding a parity check bit [i] would yield OA(260, 65, S2, 33), but
- the (dual) Plotkin bound shows that M ≥ 27 670116 110564 327424 / 17 > 260 [i]
- adding a parity check bit [i] would yield OA(260, 65, S2, 33), 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.