Information on Result #657334
Linear OA(4930, 69, F49, 21) (dual of [69, 39, 22]-code), using construction X applied to AG(F,14P) ⊂ AG(F,19P) based on
- linear OA(4921, 50, F49, 21) (dual of [50, 29, 22]-code or 50-arc in PG(20,49)), using algebraic-geometric code AG(F,14P) with degPÂ =Â 2 [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50, using the rational function field F49(x) [i]
- linear OA(4911, 50, F49, 11) (dual of [50, 39, 12]-code or 50-arc in PG(10,49)), using algebraic-geometric code AG(F,19P) with degPÂ =Â 2 [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50 (see above)
- linear OA(499, 19, F49, 9) (dual of [19, 10, 10]-code or 19-arc in PG(8,49)), using
- discarding factors / shortening the dual code based on linear OA(499, 49, F49, 9) (dual of [49, 40, 10]-code or 49-arc in PG(8,49)), using
- Reed–Solomon code RS(40,49) [i]
- discarding factors / shortening the dual code based on linear OA(499, 49, F49, 9) (dual of [49, 40, 10]-code or 49-arc in PG(8,49)), 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.
Other Results with Identical Parameters
None.
Depending Results
None.