Information on Result #598531
There is no digital (16, 32, 40)-net over F2, because extracting embedded orthogonal array would yield linear OA(232, 40, F2, 16) (dual of [40, 8, 17]-code), but
- adding a parity check bit [i] would yield linear OA(233, 41, F2, 17) (dual of [41, 8, 18]-code), but
- “BJV†bound on codes from Brouwer’s database [i]
Mode: Bound (linear).
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 digital (16, 33, 40)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (16, 34, 40)-net over F2 | [i] | ||
| 3 | No digital (16, 35, 40)-net over F2 | [i] | ||