Information on Result #3153835
There is no digital (1, 72, 192)-net over F64, because 7 times m-reduction would yield digital (1, 65, 192)-net over F64, but
- extracting embedded orthogonal array [i] would yield linear OA(6465, 192, F64, 64) (dual of [192, 127, 65]-code), but
- dual of a near-MDS code is again a near-MDS code [i] would yield linear OA(64127, 192, F64, 126) (dual of [192, 65, 127]-code), but
- discarding factors / shortening the dual code would yield linear OA(64127, 130, F64, 126) (dual of [130, 3, 127]-code), but
- dual of a near-MDS code is again a near-MDS code [i] would yield linear OA(64127, 192, F64, 126) (dual of [192, 65, 127]-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.