Information on Result #3146863
There is no digital (84, 250, 265)-net over F3, because 1 times m-reduction would yield digital (84, 249, 265)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3249, 265, F3, 165) (dual of [265, 16, 166]-code), but
- residual code [i] would yield OA(384, 99, S3, 55), but
- the linear programming bound shows that M ≥ 4 602106 814071 993271 061293 737170 927222 039075 353067 / 326 668160 > 384 [i]
- residual code [i] would yield OA(384, 99, S3, 55), 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.