Information on Result #611639
Linear OA(359, 19689, F3, 9) (dual of [19689, 19630, 10]-code), using construction X applied to C([0,4]) ⊂ C([1,4]) based on
- linear OA(355, 19684, F3, 9) (dual of [19684, 19629, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(354, 19684, F3, 4) (dual of [19684, 19630, 5]-code), using the narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- 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]
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(359, 15171, F3, 2, 9) (dual of [(15171, 2), 30283, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(359, 15171, F3, 3, 9) (dual of [(15171, 3), 45454, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(359, 15171, F3, 4, 9) (dual of [(15171, 4), 60625, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(359, 15171, F3, 5, 9) (dual of [(15171, 5), 75796, 10]-NRT-code) | [i] | ||
| 5 | Digital (50, 59, 15171)-net over F3 | [i] | ||