Information on Result #3150547
There is no digital (32, 146, 248)-net over F5, because 4 times m-reduction would yield digital (32, 142, 248)-net over F5, but
- extracting embedded orthogonal array [i] would yield linear OA(5142, 248, F5, 110) (dual of [248, 106, 111]-code), but
- residual code [i] would yield OA(532, 137, S5, 22), but
- the linear programming bound shows that M ≥ 49811 417030 749528 748174 208068 847656 250000 / 2 010328 776131 927263 > 532 [i]
- residual code [i] would yield OA(532, 137, S5, 22), 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.