Information on Result #3146239
There is no digital (67, 195, 231)-net over F3, because 2 times m-reduction would yield digital (67, 193, 231)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3193, 231, F3, 126) (dual of [231, 38, 127]-code), but
- residual code [i] would yield OA(367, 104, S3, 42), but
- the linear programming bound shows that M ≥ 212 605728 850688 050166 936203 491470 637703 282614 368879 086023 / 2 198444 497742 188955 528500 > 367 [i]
- residual code [i] would yield OA(367, 104, S3, 42), 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.