Information on Result #3150532
There is no digital (31, 142, 229)-net over F5, because 1 times m-reduction would yield digital (31, 141, 229)-net over F5, but
- extracting embedded orthogonal array [i] would yield linear OA(5141, 229, F5, 110) (dual of [229, 88, 111]-code), but
- residual code [i] would yield OA(531, 118, S5, 22), but
- the linear programming bound shows that M ≥ 2 310642 313094 154045 260009 765625 000000 000000 / 481 569852 057372 130117 > 531 [i]
- residual code [i] would yield OA(531, 118, 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.