Information on Result #3145725
There is no digital (60, 164, 265)-net over F3, because 2 times m-reduction would yield digital (60, 162, 265)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3162, 265, F3, 102) (dual of [265, 103, 103]-code), but
- residual code [i] would yield OA(360, 162, S3, 34), but
- the linear programming bound shows that M ≥ 68980 367968 436452 870293 317186 511729 045056 682286 749727 903703 040000 000000 / 1 592376 446885 204670 935611 188490 612206 288097 > 360 [i]
- residual code [i] would yield OA(360, 162, S3, 34), 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.