Information on Result #599311
There is no digital (86, 236, 380)-net over F3, because extracting embedded orthogonal array would yield linear OA(3236, 380, F3, 150) (dual of [380, 144, 151]-code), but
- residual code [i] would yield linear OA(386, 229, F3, 50) (dual of [229, 143, 51]-code), but
- the Johnson bound shows that N ≤ 153 153734 778487 159186 543991 832667 435898 157821 534223 513753 575995 914628 < 3143 [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 (86, 237, 380)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (86, 238, 380)-net over F3 | [i] | ||