Information on Result #3146509
There is no digital (72, 212, 236)-net over F3, because 2 times m-reduction would yield digital (72, 210, 236)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3210, 236, F3, 138) (dual of [236, 26, 139]-code), but
- residual code [i] would yield OA(372, 97, S3, 46), but
- the linear programming bound shows that M ≥ 27848 335335 870397 950530 479039 339751 613066 604593 / 1 016088 552625 > 372 [i]
- residual code [i] would yield OA(372, 97, S3, 46), 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.