Information on Result #599332
There is no digital (1, 5, 12)-net over F4, because extracting embedded orthogonal array 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
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 (1, 6, 12)-net over F4 | [i] | m-Reduction | |