Information on Result #598512
There is no digital (9, 15, 54)-net over F2, because extracting embedded orthogonal array would yield linear OA(215, 54, F2, 6) (dual of [54, 39, 7]-code), but
- adding a parity check bit [i] would yield linear OA(216, 55, F2, 7) (dual of [55, 39, 8]-code), but
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 (9, 16, 54)-net over F2 | [i] | m-Reduction | |