Information on Result #3148864
There is no digital (48, 174, 283)-net over F4, because 2 times m-reduction would yield digital (48, 172, 283)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4172, 283, F4, 124) (dual of [283, 111, 125]-code), but
- residual code [i] would yield OA(448, 158, S4, 31), but
- the linear programming bound shows that M ≥ 2 143115 103385 830260 766514 612657 446370 178268 943666 380800 000000 / 25 963856 108815 667115 605195 244449 > 448 [i]
- residual code [i] would yield OA(448, 158, S4, 31), 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.