Information on Result #3153380
There is no digital (1, 51, 81)-net over F27, because 23 times m-reduction would yield digital (1, 28, 81)-net over F27, but
- extracting embedded orthogonal array [i] would yield linear OA(2728, 81, F27, 27) (dual of [81, 53, 28]-code), but
- dual of a near-MDS code is again a near-MDS code [i] would yield linear OA(2753, 81, F27, 52) (dual of [81, 28, 53]-code), but
- discarding factors / shortening the dual code would yield linear OA(2753, 56, F27, 52) (dual of [56, 3, 53]-code), but
- dual of a near-MDS code is again a near-MDS code [i] would yield linear OA(2753, 81, F27, 52) (dual of [81, 28, 53]-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.