Information on Result #3145178
There is no digital (54, 149, 242)-net over F3, because 2 times m-reduction would yield digital (54, 147, 242)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3147, 242, F3, 93) (dual of [242, 95, 94]-code), but
- residual code [i] would yield OA(354, 148, S3, 31), but
- the linear programming bound shows that M ≥ 6 441601 373247 630548 677274 000331 028968 435027 093798 890625 / 110747 556584 570142 271976 733329 > 354 [i]
- residual code [i] would yield OA(354, 148, S3, 31), 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.