Information on Result #628976
Linear OA(9106, 13124, F9, 27) (dual of [13124, 13018, 28]-code), using trace code based on linear OA(8153, 6562, F81, 27) (dual of [6562, 6509, 28]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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(9119, 13138, F9, 27) (dual of [13138, 13019, 28]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(9106, 12938, F9, 2, 27) (dual of [(12938, 2), 25770, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(9106, 12938, F9, 3, 27) (dual of [(12938, 3), 38708, 28]-NRT-code) | [i] | ||
| 4 | Digital (79, 106, 12938)-net over F9 | [i] | ||
| 5 | Linear OOA(9106, 1009, F9, 27, 27) (dual of [(1009, 27), 27137, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |