Information on Result #3020309
There is no (37, 82, 84)-net in base 2, because 3 times m-reduction would yield (37, 79, 84)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(279, 84, S2, 42), but
- adding a parity check bit [i] would yield OA(280, 85, S2, 43), but
- the (dual) Plotkin bound shows that M ≥ 14 507109 835375 550096 474112 / 11 > 280 [i]
- adding a parity check bit [i] would yield OA(280, 85, S2, 43), 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.