Information on Result #657274
Linear OA(4936, 57, F49, 33) (dual of [57, 21, 34]-code), using construction X applied to AG(F,8P) ⊂ AG(F,10P) based on
- 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, using the rational function field F49(x) [i]
- linear OA(4929, 50, F49, 29) (dual of [50, 21, 30]-code or 50-arc in PG(28,49)), using algebraic-geometric code AG(F,10P) with degPÂ =Â 2 [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50 (see above)
- linear OA(493, 7, F49, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,49) or 7-cap in PG(2,49)), using
- discarding factors / shortening the dual code based on linear OA(493, 49, F49, 3) (dual of [49, 46, 4]-code or 49-arc in PG(2,49) or 49-cap in PG(2,49)), using
- Reed–Solomon code RS(46,49) [i]
- discarding factors / shortening the dual code based on linear OA(493, 49, F49, 3) (dual of [49, 46, 4]-code or 49-arc in PG(2,49) or 49-cap in PG(2,49)), 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.