Information on Result #657078
Linear OA(823, 27, F8, 19) (dual of [27, 4, 20]-code), using construction X applied to AG(F,2P) ⊂ AG(F,3P) based on
- linear OA(822, 24, F8, 19) (dual of [24, 2, 20]-code), using algebraic-geometric code AG(F,2P) with degPÂ =Â 2 [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using the Klein quartic over F8 [i]
- linear OA(820, 24, F8, 17) (dual of [24, 4, 18]-code), using algebraic-geometric code AG(F,3P) with degPÂ =Â 2 [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24 (see above)
- linear OA(81, 3, F8, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(8126, 540, F8, 39) (dual of [540, 414, 40]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8123, 539, F8, 38) (dual of [539, 416, 39]-code) | [i] | ||
| 3 | Linear OOA(2231, 81, F2, 3, 139) (dual of [(81, 3), 12, 140]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |