Information on Result #3019158
There is no (31, 68, 72)-net in base 2, because 1 times m-reduction would yield (31, 67, 72)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(267, 72, S2, 36), but
- adding a parity check bit [i] would yield OA(268, 73, S2, 37), but
- the (dual) Plotkin bound shows that M ≥ 7083 549724 304467 820544 / 19 > 268 [i]
- adding a parity check bit [i] would yield OA(268, 73, S2, 37), 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.