Information on Result #628810
Linear OA(958, 13124, F9, 15) (dual of [13124, 13066, 16]-code), using trace code based on linear OA(8129, 6562, F81, 15) (dual of [6562, 6533, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [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 OA(965, 13134, F9, 15) (dual of [13134, 13069, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(958, 10815, F9, 2, 15) (dual of [(10815, 2), 21572, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(958, 10815, F9, 3, 15) (dual of [(10815, 3), 32387, 16]-NRT-code) | [i] | ||
| 4 | Digital (43, 58, 10815)-net over F9 | [i] | ||