Information on Result #3146881
There is no digital (86, 247, 293)-net over F3, because 2 times m-reduction would yield digital (86, 245, 293)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3245, 293, F3, 159) (dual of [293, 48, 160]-code), but
- residual code [i] would yield OA(386, 133, S3, 53), but
- the linear programming bound shows that M ≥ 146601 713206 672215 854529 961683 786203 805963 714360 771638 656247 204712 306825 / 1 191506 890413 541201 033837 596832 > 386 [i]
- residual code [i] would yield OA(386, 133, 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.