Information on Result #644138
Linear OA(830, 36, F8, 22) (dual of [36, 6, 23]-code), using construction X applied to AG(F,0P) ⊂ AG(F,8P) based on
- linear OA(822, 23, F8, 22) (dual of [23, 1, 23]-code or 23-arc in PG(21,8)), using algebraic-geometric code AG(F,0P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- linear OA(817, 23, F8, 14) (dual of [23, 6, 15]-code), using algebraic-geometric code AG(F,8P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24 (see above)
- linear OA(88, 13, F8, 7) (dual of [13, 5, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(88, 14, F8, 7) (dual of [14, 6, 8]-code), using
- extended algebraic-geometric code AGe(F,6P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OA(88, 14, F8, 7) (dual of [14, 6, 8]-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.