Information on Result #3146828
There is no digital (82, 243, 261)-net over F3, because 2 times m-reduction would yield digital (82, 241, 261)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3241, 261, F3, 159) (dual of [261, 20, 160]-code), but
- residual code [i] would yield OA(382, 101, S3, 53), but
- the linear programming bound shows that M ≥ 10993 355000 871367 562211 653536 372020 125189 985096 / 6 532165 > 382 [i]
- residual code [i] would yield OA(382, 101, S3, 53), 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.