Information on Result #657662
Linear OA(4940, 59, F49, 36) (dual of [59, 19, 37]-code), using construction X applied to AG(F, Q+2P) ⊂ AG(F, Q+3P) based on
- linear OA(4936, 50, F49, 36) (dual of [50, 14, 37]-code or 50-arc in PG(35,49)), using algebraic-geometric code AG(F, Q+5P) with degQ = 3 and 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(4931, 50, F49, 31) (dual of [50, 19, 32]-code or 50-arc in PG(30,49)), using algebraic-geometric code AG(F,9P) with degPÂ =Â 2 [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50 (see above)
- linear OA(494, 9, F49, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,49)), using
- discarding factors / shortening the dual code based on linear OA(494, 49, F49, 4) (dual of [49, 45, 5]-code or 49-arc in PG(3,49)), using
- Reed–Solomon code RS(45,49) [i]
- discarding factors / shortening the dual code based on linear OA(494, 49, F49, 4) (dual of [49, 45, 5]-code or 49-arc in PG(3,49)), 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.