Information on Result #3017318
There is no (22, 50, 53)-net in base 2, because 2 times m-reduction would yield (22, 48, 53)-net in base 2, but
- extracting embedded orthogonal array [i] would yield OA(248, 53, S2, 26), but
- adding a parity check bit [i] would yield OA(249, 54, S2, 27), but
- the (dual) Plotkin bound shows that M ≥ 4503 599627 370496 / 7 > 249 [i]
- adding a parity check bit [i] would yield OA(249, 54, S2, 27), 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.