Information on Result #657478
Linear OA(4943, 73, F49, 32) (dual of [73, 30, 33]-code), using construction X applied to AG(F, Q+7P) ⊂ AG(F, Q+13P) based on
- linear OA(4932, 50, F49, 32) (dual of [50, 18, 33]-code or 50-arc in PG(31,49)), using algebraic-geometric code AG(F, Q+7P) 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(4920, 50, F49, 20) (dual of [50, 30, 21]-code or 50-arc in PG(19,49)), using algebraic-geometric code AG(F, Q+13P) 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(4911, 23, F49, 11) (dual of [23, 12, 12]-code or 23-arc in PG(10,49)), using
- discarding factors / shortening the dual code based on linear OA(4911, 49, F49, 11) (dual of [49, 38, 12]-code or 49-arc in PG(10,49)), using
- Reed–Solomon code RS(38,49) [i]
- discarding factors / shortening the dual code based on linear OA(4911, 49, F49, 11) (dual of [49, 38, 12]-code or 49-arc in PG(10,49)), 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.