Information on Result #644121
Linear OA(812, 26, F8, 8) (dual of [26, 14, 9]-code), using construction X applied to AG(F,14P) ⊂ AG(F,16P) based on
- linear OA(811, 23, F8, 8) (dual of [23, 12, 9]-code), using algebraic-geometric code AG(F,14P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- linear OA(89, 23, F8, 6) (dual of [23, 14, 7]-code), using algebraic-geometric code AG(F,16P) [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(883, 32795, F8, 17) (dual of [32795, 32712, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(897, 262171, F8, 17) (dual of [262171, 262074, 18]-code) | [i] | ||
| 3 | Linear OA(8111, 2097179, F8, 17) (dual of [2097179, 2097068, 18]-code) | [i] | ||
| 4 | Linear OOA(812, 13, F8, 2, 8) (dual of [(13, 2), 14, 9]-NRT-code) | [i] | OOA Folding | |