Information on Result #3145884
There is no digital (62, 168, 282)-net over F3, because 1 times m-reduction would yield digital (62, 167, 282)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3167, 282, F3, 105) (dual of [282, 115, 106]-code), but
- residual code [i] would yield OA(362, 176, S3, 35), but
- the linear programming bound shows that M ≥ 8 776263 770751 612540 193525 834020 135240 880280 270100 948539 296875 / 21 936508 659210 038625 164225 310787 > 362 [i]
- residual code [i] would yield OA(362, 176, S3, 35), 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.