Information on Result #3021222
There is no (42, 94, 95)-net in base 2, because 4 times m-reduction would yield (42, 90, 95)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(290, 95, S2, 48), but
- adding a parity check bit [i] would yield OA(291, 96, S2, 49), but
- the (dual) Plotkin bound shows that M ≥ 79228 162514 264337 593543 950336 / 25 > 291 [i]
- adding a parity check bit [i] would yield OA(291, 96, S2, 49), 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.