Information on Result #3152831
There is no digital (1, 18, 48)-net over F16, because 1 times m-reduction would yield digital (1, 17, 48)-net over F16, but
- extracting embedded orthogonal array [i] would yield linear OA(1617, 48, F16, 16) (dual of [48, 31, 17]-code), but
- dual of a near-MDS code is again a near-MDS code [i] would yield linear OA(1631, 48, F16, 30) (dual of [48, 17, 31]-code), but
- discarding factors / shortening the dual code would yield linear OA(1631, 34, F16, 30) (dual of [34, 3, 31]-code), but
- dual of a near-MDS code is again a near-MDS code [i] would yield linear OA(1631, 48, F16, 30) (dual of [48, 17, 31]-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.