Information on Result #657446
Linear OA(4945, 65, F49, 38) (dual of [65, 20, 39]-code), using construction X applied to AG(F, Q+4P) ⊂ AG(F, Q+8P) based on
- linear OA(4938, 50, F49, 38) (dual of [50, 12, 39]-code or 50-arc in PG(37,49)), using algebraic-geometric code AG(F, Q+4P) 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(4930, 50, F49, 30) (dual of [50, 20, 31]-code or 50-arc in PG(29,49)), using algebraic-geometric code AG(F, Q+8P) with degQ = 3 and degPÂ =Â 2 [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50 (see above)
- linear OA(497, 15, F49, 7) (dual of [15, 8, 8]-code or 15-arc in PG(6,49)), using
- discarding factors / shortening the dual code based on linear OA(497, 49, F49, 7) (dual of [49, 42, 8]-code or 49-arc in PG(6,49)), using
- Reed–Solomon code RS(42,49) [i]
- discarding factors / shortening the dual code based on linear OA(497, 49, F49, 7) (dual of [49, 42, 8]-code or 49-arc in PG(6,49)), 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.