Information on Result #3153621
There is no digital (1, 41, 96)-net over F32, because 8 times m-reduction would yield digital (1, 33, 96)-net over F32, but
- extracting embedded orthogonal array [i] would yield linear OA(3233, 96, F32, 32) (dual of [96, 63, 33]-code), but
- dual of a near-MDS code is again a near-MDS code [i] would yield linear OA(3263, 96, F32, 62) (dual of [96, 33, 63]-code), but
- discarding factors / shortening the dual code would yield linear OA(3263, 66, F32, 62) (dual of [66, 3, 63]-code), but
- dual of a near-MDS code is again a near-MDS code [i] would yield linear OA(3263, 96, F32, 62) (dual of [96, 33, 63]-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
None.