Information on Result #657619
Linear OA(4929, 67, F49, 21) (dual of [67, 38, 22]-code), using construction X applied to AG(F, Q+8P) ⊂ AG(F, Q+11P) based on
- linear OA(4921, 50, F49, 21) (dual of [50, 29, 22]-code or 50-arc in PG(20,49)), using algebraic-geometric code AG(F,14P) 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(4912, 50, F49, 12) (dual of [50, 38, 13]-code or 50-arc in PG(11,49)), using algebraic-geometric code AG(F, Q+17P) 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(498, 17, F49, 8) (dual of [17, 9, 9]-code or 17-arc in PG(7,49)), using
- discarding factors / shortening the dual code based on linear OA(498, 49, F49, 8) (dual of [49, 41, 9]-code or 49-arc in PG(7,49)), using
- Reed–Solomon code RS(41,49) [i]
- discarding factors / shortening the dual code based on linear OA(498, 49, F49, 8) (dual of [49, 41, 9]-code or 49-arc in PG(7,49)), 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.