Information on Result #3144770
There is no digital (50, 136, 231)-net over F3, because 2 times m-reduction would yield digital (50, 134, 231)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3134, 231, F3, 84) (dual of [231, 97, 85]-code), but
- residual code [i] would yield OA(350, 146, S3, 28), but
- the linear programming bound shows that M ≥ 1 005327 361531 234711 866975 289182 466989 734041 755525 / 1 282251 632725 448090 129998 > 350 [i]
- residual code [i] would yield OA(350, 146, S3, 28), 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.