Information on Result #662091
Linear OA(350, 19688, F3, 8) (dual of [19688, 19638, 9]-code), using (u, u+v)-construction based on
- linear OA(34, 5, F3, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,3)), using
- dual of repetition code with length 5 [i]
- linear OA(346, 19683, F3, 8) (dual of [19683, 19637, 9]-code), using
- an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(350, 11790, F3, 2, 8) (dual of [(11790, 2), 23530, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(350, 11790, F3, 3, 8) (dual of [(11790, 3), 35320, 9]-NRT-code) | [i] | ||
| 3 | Linear OOA(350, 11790, F3, 4, 8) (dual of [(11790, 4), 47110, 9]-NRT-code) | [i] | ||
| 4 | Linear OOA(350, 11790, F3, 5, 8) (dual of [(11790, 5), 58900, 9]-NRT-code) | [i] | ||
| 5 | Digital (42, 50, 11790)-net over F3 | [i] | ||