Information on Result #3150528
There is no digital (31, 135, 271)-net over F5, because 4 times m-reduction would yield digital (31, 131, 271)-net over F5, but
- extracting embedded orthogonal array [i] would yield linear OA(5131, 271, F5, 100) (dual of [271, 140, 101]-code), but
- residual code [i] would yield OA(531, 170, S5, 20), but
- the linear programming bound shows that M ≥ 42216 069885 091800 891878 320552 825927 734375 / 8 765861 509813 289221 > 531 [i]
- residual code [i] would yield OA(531, 170, S5, 20), 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.