Information on Result #644113
Linear OA(816, 26, F8, 12) (dual of [26, 10, 13]-code), using construction X applied to AG(F,10P) ⊂ AG(F,12P) based on
- linear OA(815, 23, F8, 12) (dual of [23, 8, 13]-code), using algebraic-geometric code AG(F,10P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- 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 (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(8122, 32794, F8, 25) (dual of [32794, 32672, 26]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8143, 262170, F8, 25) (dual of [262170, 262027, 26]-code) | [i] | ||
| 3 | Linear OA(8164, 2097178, F8, 25) (dual of [2097178, 2097014, 26]-code) | [i] | ||
| 4 | Linear OOA(2126, 78, F2, 2, 51) (dual of [(78, 2), 30, 52]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 5 | Linear OA(874, 90, F8, 47) (dual of [90, 16, 48]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 6 | Linear OA(864, 90, F8, 36) (dual of [90, 26, 37]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 7 | Linear OOA(816, 13, F8, 2, 12) (dual of [(13, 2), 10, 13]-NRT-code) | [i] | OOA Folding | |