Information on Result #3146552
There is no digital (73, 216, 237)-net over F3, because 2 times m-reduction would yield digital (73, 214, 237)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3214, 237, F3, 141) (dual of [237, 23, 142]-code), but
- residual code [i] would yield OA(373, 95, S3, 47), but
- the linear programming bound shows that M ≥ 27415 488609 479960 623517 399135 351947 419683 757237 / 296601 469736 > 373 [i]
- residual code [i] would yield OA(373, 95, S3, 47), 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.