Information on Result #644448
Linear OA(860, 91, F8, 31) (dual of [91, 31, 32]-code), using construction XX applied to AG(F,32P) ⊂ AG(F,42P) ⊂ AG(F,44P) based on
- linear OA(845, 64, F8, 31) (dual of [64, 19, 32]-code), using algebraic-geometric code AG(F,32P) [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(835, 64, F8, 21) (dual of [64, 29, 22]-code), using algebraic-geometric code AG(F,42P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OA(833, 64, F8, 19) (dual of [64, 31, 20]-code), using algebraic-geometric code AG(F,44P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OA(812, 24, F8, 9) (dual of [24, 12, 10]-code), using
- extended algebraic-geometric code AGe(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,7P) with degPÂ =Â 2 [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using the Klein quartic over F8 [i]
- extended algebraic-geometric code AGe(F,14P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- linear OA(81, 3, F8, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-code), using
- Reed–Solomon code RS(7,8) [i]
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-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.