Information on Result #628357
Linear OA(826, 130, F8, 13) (dual of [130, 104, 14]-code), using trace code based on linear OA(6413, 65, F64, 13) (dual of [65, 52, 14]-code or 65-arc in PG(12,64)), using
- extended Reed–Solomon code RSe(52,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(827, 131, F8, 13) (dual of [131, 104, 14]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(8167, 32855, F8, 33) (dual of [32855, 32688, 34]-code) | [i] | Construction X with Cyclic Codes | |
| 3 | Linear OA(8172, 32854, F8, 34) (dual of [32854, 32682, 35]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 4 | Linear OA(8167, 32859, F8, 32) (dual of [32859, 32692, 33]-code) | [i] | ||
| 5 | Linear OA(8162, 32859, F8, 31) (dual of [32859, 32697, 32]-code) | [i] | ||
| 6 | Linear OOA(826, 65, F8, 2, 13) (dual of [(65, 2), 104, 14]-NRT-code) | [i] | OOA Folding | |