Information on Result #628334
Linear OA(812, 130, F8, 6) (dual of [130, 118, 7]-code), using trace code based on linear OA(646, 65, F64, 6) (dual of [65, 59, 7]-code or 65-arc in PG(5,64)), using
- extended Reed–Solomon code RSe(59,64) [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(813, 131, F8, 6) (dual of [131, 118, 7]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(813, 133, F8, 6) (dual of [133, 120, 7]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(815, 198, F8, 6) (dual of [198, 183, 7]-code) | [i] | ||
| 4 | Linear OA(8167, 2097221, F8, 24) (dual of [2097221, 2097054, 25]-code) | [i] | Construction X with Cyclic Codes | |
| 5 | Linear OA(813, 132, F8, 6) (dual of [132, 119, 7]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OOA(812, 65, F8, 2, 6) (dual of [(65, 2), 118, 7]-NRT-code) | [i] | OOA Folding | |