Information on Result #657229
Linear OA(4942, 53, F49, 41) (dual of [53, 11, 42]-code), using construction X applied to AG(F,4P) ⊂ AG(F,5P) based on
- linear OA(4941, 50, F49, 41) (dual of [50, 9, 42]-code or 50-arc in PG(40,49)), using algebraic-geometric code AG(F,4P) 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(4939, 50, F49, 39) (dual of [50, 11, 40]-code or 50-arc in PG(38,49)), using algebraic-geometric code AG(F,5P) with degPÂ =Â 2 [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50 (see above)
- linear OA(491, 3, F49, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, s, F49, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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.