Information on Result #658900
Linear OA(878, 94, F8, 49) (dual of [94, 16, 50]-code), using construction XX applied to AG(F,13P) ⊂ AG(F,25P) ⊂ AG(F,29P) based on
- linear OA(859, 64, F8, 50) (dual of [64, 5, 51]-code), using algebraic-geometric code AG(F,13P) 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(851, 64, F8, 38) (dual of [64, 13, 39]-code), using algebraic-geometric code AG(F,25P) with known gap numbers [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OA(848, 64, F8, 34) (dual of [64, 16, 35]-code), using algebraic-geometric code AG(F,29P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OA(813, 24, F8, 10) (dual of [24, 11, 11]-code), using
- extended algebraic-geometric code AGe(F,13P) [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,13P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- linear OA(83, 6, F8, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,8) or 6-cap in PG(2,8)), using
- discarding factors / shortening the dual code based on linear OA(83, 8, F8, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,8) or 8-cap in PG(2,8)), using
- Reed–Solomon code RS(5,8) [i]
- discarding factors / shortening the dual code based on linear OA(83, 8, F8, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,8) or 8-cap in PG(2,8)), 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.