Information on Result #644117
Linear OA(814, 26, F8, 10) (dual of [26, 12, 11]-code), using construction X applied to AG(F,12P) ⊂ AG(F,14P) based on
- linear OA(813, 23, F8, 10) (dual of [23, 10, 11]-code), using algebraic-geometric code AG(F,12P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- 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 (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(8105, 32795, F8, 21) (dual of [32795, 32690, 22]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8141, 2097179, F8, 21) (dual of [2097179, 2097038, 22]-code) | [i] | ||
| 3 | Linear OA(8100, 32794, F8, 20) (dual of [32794, 32694, 21]-code) | [i] | ||
| 4 | Linear OA(8134, 2097178, F8, 20) (dual of [2097178, 2097044, 21]-code) | [i] | ||
| 5 | Linear OOA(2198, 78, F2, 3, 76) (dual of [(78, 3), 36, 77]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 6 | Linear OA(867, 91, F8, 39) (dual of [91, 24, 40]-code) | [i] | Construction X with Cyclic Codes | |
| 7 | Linear OA(871, 96, F8, 40) (dual of [96, 25, 41]-code) | [i] | Construction XX with Cyclic Codes | |
| 8 | Linear OA(865, 90, F8, 38) (dual of [90, 25, 39]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 9 | Linear OOA(814, 13, F8, 2, 10) (dual of [(13, 2), 12, 11]-NRT-code) | [i] | OOA Folding | |