Information on Result #3146805
There is no digital (81, 236, 267)-net over F3, because 2 times m-reduction would yield digital (81, 234, 267)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3234, 267, F3, 153) (dual of [267, 33, 154]-code), but
- residual code [i] would yield OA(381, 113, S3, 51), but
- the linear programming bound shows that M ≥ 23713 080736 201971 210054 022630 767751 231756 211462 816760 345549 / 44 946009 615547 625000 > 381 [i]
- residual code [i] would yield OA(381, 113, S3, 51), 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.