Information on Result #1288721
Linear OA(824, 37, F8, 16) (dual of [37, 13, 17]-code), using construction X applied to AG(F,15P) ⊂ AG(F,18P) based on
- linear OA(822, 32, F8, 16) (dual of [32, 10, 17]-code), using algebraic-geometric code AG(F,15P) [i] based on function field F/F8 with g(F) = 6 and N(F) ≥ 33, using
- linear OA(819, 32, F8, 13) (dual of [32, 13, 14]-code), using algebraic-geometric code AG(F,18P) [i] based on function field F/F8 with g(F) = 6 and N(F) ≥ 33 (see above)
- 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: 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.