Information on Result #657542
Linear OA(4946, 55, F49, 44) (dual of [55, 9, 45]-code), using construction X applied to AG(F, Q+1P) ⊂ AG(F, Q+2P) based on
- linear OA(4944, 50, F49, 44) (dual of [50, 6, 45]-code or 50-arc in PG(43,49)), using algebraic-geometric code AG(F, Q+1P) 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(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 (see above)
- linear OA(492, 5, F49, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,49)), using
- discarding factors / shortening the dual code based on linear OA(492, 49, F49, 2) (dual of [49, 47, 3]-code or 49-arc in PG(1,49)), using
- Reed–Solomon code RS(47,49) [i]
- discarding factors / shortening the dual code based on linear OA(492, 49, F49, 2) (dual of [49, 47, 3]-code or 49-arc in PG(1,49)), 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.