Information on Result #658925
Linear OA(872, 93, F8, 42) (dual of [93, 21, 43]-code), using construction XX applied to AG(F,21P) ⊂ AG(F,31P) ⊂ AG(F,34P) based on
- linear OA(855, 64, F8, 42) (dual of [64, 9, 43]-code), using algebraic-geometric code AG(F,21P) 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(846, 64, F8, 32) (dual of [64, 18, 33]-code), using algebraic-geometric code AG(F,31P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- 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(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(82, 5, F8, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,8)), using
- discarding factors / shortening the dual code based on linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), using
- Reed–Solomon code RS(6,8) [i]
- discarding factors / shortening the dual code based on linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), 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.