Information on Result #3146837
There is no digital (83, 232, 364)-net over F3, because 2 times m-reduction would yield digital (83, 230, 364)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3230, 364, F3, 147) (dual of [364, 134, 148]-code), but
- residual code [i] would yield linear OA(383, 216, F3, 49) (dual of [216, 133, 50]-code), but
- 1 times truncation [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]
- 1 times truncation [i] would yield linear OA(382, 215, F3, 48) (dual of [215, 133, 49]-code), but
- residual code [i] would yield linear OA(383, 216, F3, 49) (dual of [216, 133, 50]-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.