Information on Result #628420
Linear OA(858, 8194, F8, 15) (dual of [8194, 8136, 16]-code), using trace code based on linear OA(6429, 4097, F64, 15) (dual of [4097, 4068, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, 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(865, 8204, F8, 15) (dual of [8204, 8139, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(858, 7372, F8, 2, 15) (dual of [(7372, 2), 14686, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(858, 7372, F8, 3, 15) (dual of [(7372, 3), 22058, 16]-NRT-code) | [i] | ||
| 4 | Digital (43, 58, 7372)-net over F8 | [i] | ||
| 5 | Linear OOA(858, 1170, F8, 15, 15) (dual of [(1170, 15), 17492, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |