Information on Result #658862
Linear OA(866, 86, F8, 41) (dual of [86, 20, 42]-code), using construction X applied to AG(F,23P) ⊂ AG(F,33P) based on
- linear OA(853, 64, F8, 41) (dual of [64, 11, 42]-code), using algebraic-geometric code AG(F,23P) with known gap numbers [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using the Suzuki function field over F8 [i]
- linear OA(844, 64, F8, 30) (dual of [64, 20, 31]-code), using algebraic-geometric code AG(F,33P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OA(813, 22, F8, 10) (dual of [22, 9, 11]-code), using
- discarding factors / shortening the dual code 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]
- algebraic-geometric code AG(F,12P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(813, 23, F8, 10) (dual of [23, 10, 11]-code), 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 OOA(866, 43, F8, 2, 41) (dual of [(43, 2), 20, 42]-NRT-code) | [i] | OOA Folding | |