Information on Result #3149443
There is no digital (56, 235, 235)-net over F4, because 7 times m-reduction would yield digital (56, 228, 235)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4228, 235, F4, 172) (dual of [235, 7, 173]-code), but
- residual code [i] would yield OA(456, 62, S4, 43), but
- the linear programming bound shows that M ≥ 26 916866 914644 546426 302092 970676 977664 / 4675 > 456 [i]
- residual code [i] would yield OA(456, 62, S4, 43), 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.