Information on Result #657309
Linear OA(4948, 65, F49, 41) (dual of [65, 17, 42]-code), using construction X applied to AG(F,4P) ⊂ AG(F,8P) 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(4933, 50, F49, 33) (dual of [50, 17, 34]-code or 50-arc in PG(32,49)), using algebraic-geometric code AG(F,8P) with 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.