Information on Result #628493
Linear OA(882, 130, F8, 41) (dual of [130, 48, 42]-code), using trace code based on linear OA(6441, 65, F64, 41) (dual of [65, 24, 42]-code or 65-arc in PG(40,64)), using
- extended Reed–Solomon code RSe(24,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (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(883, 131, F8, 41) (dual of [131, 48, 42]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(882, 65, F8, 2, 41) (dual of [(65, 2), 48, 42]-NRT-code) | [i] | OOA Folding | |