Information on Result #3146817
There is no digital (82, 227, 360)-net over F3, because 1 times m-reduction would yield digital (82, 226, 360)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3226, 360, F3, 144) (dual of [360, 134, 145]-code), but
- residual code [i] would yield linear OA(382, 215, F3, 48) (dual of [215, 133, 49]-code), but
- the Johnson bound shows that N ≤ 2633 391490 584373 459265 026071 777086 821369 449862 527703 301746 510338 < 3133 [i]
- residual code [i] would yield linear OA(382, 215, F3, 48) (dual of [215, 133, 49]-code), 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.