Information on Result #3150555
There is no digital (33, 149, 250)-net over F5, because 1 times m-reduction would yield digital (33, 148, 250)-net over F5, but
- extracting embedded orthogonal array [i] would yield linear OA(5148, 250, F5, 115) (dual of [250, 102, 116]-code), but
- residual code [i] would yield OA(533, 134, S5, 23), but
- the linear programming bound shows that M ≥ 7 905984 850652 471068 879589 438438 415527 343750 / 66 073848 265952 909413 > 533 [i]
- residual code [i] would yield OA(533, 134, 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.