Information on Result #644380
Linear OA(863, 84, F8, 38) (dual of [84, 21, 39]-code), using construction X applied to AG(F,25P) ⊂ AG(F,34P) based on
- linear OA(852, 64, F8, 38) (dual of [64, 12, 39]-code), using algebraic-geometric code AG(F,25P) [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(843, 64, F8, 29) (dual of [64, 21, 30]-code), using algebraic-geometric code AG(F,34P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OA(811, 20, F8, 8) (dual of [20, 9, 9]-code), using
- discarding factors / shortening the dual code 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]
- algebraic-geometric code AG(F,14P) [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(811, 23, F8, 8) (dual of [23, 12, 9]-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
None.