Information on Result #644120
Linear OA(810, 23, F8, 7) (dual of [23, 13, 8]-code), using algebraic-geometric code AG(F,15P) based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [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(874, 85, F8, 49) (dual of [85, 11, 50]-code) | [i] | Juxtaposition | |
| 2 | Linear OA(875, 84, F8, 54) (dual of [84, 9, 55]-code) | [i] | ||
| 3 | Linear OA(813, 26, F8, 9) (dual of [26, 13, 10]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 4 | Linear OA(811, 26, F8, 7) (dual of [26, 15, 8]-code) | [i] | ✔ | |
| 5 | Linear OA(817, 30, F8, 11) (dual of [30, 13, 12]-code) | [i] | ✔ | |
| 6 | Linear OA(854, 83, F8, 30) (dual of [83, 29, 31]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 7 | Linear OA(852, 83, F8, 29) (dual of [83, 31, 30]-code) | [i] | ||
| 8 | Linear OA(850, 83, F8, 28) (dual of [83, 33, 29]-code) | [i] | ||
| 9 | Linear OA(849, 84, F8, 27) (dual of [84, 35, 28]-code) | [i] | ||