Information on Result #3150537
There is no digital (31, 148, 212)-net over F5, because 2 times m-reduction would yield digital (31, 146, 212)-net over F5, but
- extracting embedded orthogonal array [i] would yield linear OA(5146, 212, F5, 115) (dual of [212, 66, 116]-code), but
- residual code [i] would yield OA(531, 96, S5, 23), but
- the linear programming bound shows that M ≥ 83056 616983 303326 929885 010601 222515 106201 171875 / 16 431931 343603 224105 080643 > 531 [i]
- residual code [i] would yield OA(531, 96, S5, 23), 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.