Information on Result #3144973
There is no digital (52, 144, 228)-net over F3, because 2 times m-reduction would yield digital (52, 142, 228)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3142, 228, F3, 90) (dual of [228, 86, 91]-code), but
- residual code [i] would yield OA(352, 137, S3, 30), but
- the linear programming bound shows that M ≥ 44562 633012 596463 108701 497133 833862 064231 636556 224801 562500 / 6631 930927 956088 032510 798182 283163 > 352 [i]
- residual code [i] would yield OA(352, 137, S3, 30), 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.