Information on Result #3146850
There is no digital (84, 229, 380)-net over F3, because 1 times m-reduction would yield digital (84, 228, 380)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3228, 380, F3, 144) (dual of [380, 152, 145]-code), but
- residual code [i] would yield linear OA(384, 235, F3, 48) (dual of [235, 151, 49]-code), but
- the Johnson bound shows that N ≤ 1 014891 606187 829584 057582 115648 929135 604017 524062 355605 507975 062077 667701 < 3151 [i]
- residual code [i] would yield linear OA(384, 235, F3, 48) (dual of [235, 151, 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.