Information on Result #3021751
There is no (45, 100, 101)-net in base 2, because 5 times m-reduction would yield (45, 95, 101)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(295, 101, S2, 50), but
- adding a parity check bit [i] would yield OA(296, 102, S2, 51), but
- the (dual) Plotkin bound shows that M ≥ 1 267650 600228 229401 496703 205376 / 13 > 296 [i]
- adding a parity check bit [i] would yield OA(296, 102, S2, 51), 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.