Information on Result #599296
There is no digital (84, 228, 380)-net over F3, because extracting embedded orthogonal array 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]
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No digital (84, 229, 380)-net over F3 | [i] | m-Reduction | |