Information on Result #3146907
There is no digital (1, 6, 12)-net over F4, because 1 times m-reduction would yield digital (1, 5, 12)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(45, 12, F4, 4) (dual of [12, 7, 5]-code), but
- dual of a near-MDS code is again a near-MDS code [i] would yield linear OA(47, 12, F4, 6) (dual of [12, 5, 7]-code), but
- discarding factors / shortening the dual code would yield linear OA(47, 10, F4, 6) (dual of [10, 3, 7]-code), but
- dual of a near-MDS code is again a near-MDS code [i] would yield linear OA(47, 12, F4, 6) (dual of [12, 5, 7]-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.