Information on Result #628396
Linear OA(846, 130, F8, 23) (dual of [130, 84, 24]-code), using trace code based on linear OA(6423, 65, F64, 23) (dual of [65, 42, 24]-code or 65-arc in PG(22,64)), using
- extended Reed–Solomon code RSe(42,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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(847, 131, F8, 23) (dual of [131, 84, 24]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(846, 65, F8, 2, 23) (dual of [(65, 2), 84, 24]-NRT-code) | [i] | OOA Folding | |