Information on Result #628372
Linear OA(834, 130, F8, 17) (dual of [130, 96, 18]-code), using trace code based on linear OA(6417, 65, F64, 17) (dual of [65, 48, 18]-code or 65-arc in PG(16,64)), using
- extended Reed–Solomon code RSe(48,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(835, 131, F8, 17) (dual of [131, 96, 18]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(834, 65, F8, 2, 17) (dual of [(65, 2), 96, 18]-NRT-code) | [i] | OOA Folding | |