Information on Result #3147972
There is no digital (39, 172, 166)-net over F4, because 13 times m-reduction would yield digital (39, 159, 166)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4159, 166, F4, 120) (dual of [166, 7, 121]-code), but
- residual code [i] would yield linear OA(439, 45, F4, 30) (dual of [45, 6, 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.