Information on Result #657423

Linear OA(4955, 63, F49, 49) (dual of [63, 8, 50]-code), using construction X applied to AG(F,0P) ⊂ AG(FQ+2P) based on
  1. linear OA(4949, 50, F49, 49) (dual of [50, 1, 50]-code or 50-arc in PG(48,49)), using algebraic-geometric code AG(F,0P) with degP = 2 [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50, using the rational function field F49(x) [i]
  2. linear OA(4942, 50, F49, 42) (dual of [50, 8, 43]-code or 50-arc in PG(41,49)), using algebraic-geometric code AG(FQ+2P) with degQ = 3 and degP = 2 [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50 (see above)
  3. linear OA(496, 13, F49, 6) (dual of [13, 7, 7]-code or 13-arc in PG(5,49)), 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.