Information on Result #520140
There is no (16, 36, 40)-net in base 2, because extracting embedded orthogonal array would yield OA(236, 40, S2, 20), but
- adding a parity check bit [i] would yield OA(237, 41, S2, 21), but
- the (dual) Plotkin bound shows that M ≥ 1 649267 441664 / 11 > 237 [i]
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No (16, 37, 40)-net in base 2 | [i] | m-Reduction | |