Information on Result #3152065
There is no digital (25, 163, 415)-net over F8, because 2 times m-reduction would yield digital (25, 161, 415)-net over F8, but
- extracting embedded orthogonal array [i] would yield linear OA(8161, 415, F8, 136) (dual of [415, 254, 137]-code), but
- residual code [i] would yield OA(825, 278, S8, 17), but
- 1 times truncation [i] would yield OA(824, 277, S8, 16), but
- the linear programming bound shows that M ≥ 78638 403871 838919 782431 803777 157693 440000 / 16 504446 602386 301789 > 824 [i]
- 1 times truncation [i] would yield OA(824, 277, S8, 16), but
- residual code [i] would yield OA(825, 278, S8, 17), 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.