Information on Result #3148290
There is no digital (42, 155, 236)-net over F4, because 1 times m-reduction would yield digital (42, 154, 236)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4154, 236, F4, 112) (dual of [236, 82, 113]-code), but
- residual code [i] would yield OA(442, 123, S4, 28), but
- the linear programming bound shows that M ≥ 420413 078661 724564 093040 229341 896213 924456 713137 684480 / 21073 249104 767480 966531 060729 > 442 [i]
- residual code [i] would yield OA(442, 123, S4, 28), 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.