Information on Result #669142
Linear OA(4948, 108, F49, 30) (dual of [108, 60, 31]-code), using (u, u+v)-construction based on
- linear OA(4916, 53, F49, 15) (dual of [53, 37, 16]-code), using
- construction X applied to AG(F,17P) ⊂ AG(F,18P) [i] based on
- linear OA(4915, 50, F49, 15) (dual of [50, 35, 16]-code or 50-arc in PG(14,49)), using algebraic-geometric code AG(F,17P) 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(4913, 50, F49, 13) (dual of [50, 37, 14]-code or 50-arc in PG(12,49)), using algebraic-geometric code AG(F,18P) with degPÂ =Â 2 [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50 (see above)
- linear OA(491, 3, F49, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, s, F49, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,17P) ⊂ AG(F,18P) [i] based on
- linear OA(4932, 55, F49, 30) (dual of [55, 23, 31]-code), using
- construction X applied to AG(F, Q+5P) ⊂ AG(F, Q+6P) [i] based on
- linear OA(4930, 50, F49, 30) (dual of [50, 20, 31]-code or 50-arc in PG(29,49)), using algebraic-geometric code AG(F, Q+8P) 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(4927, 50, F49, 27) (dual of [50, 23, 28]-code or 50-arc in PG(26,49)), using algebraic-geometric code AG(F,11P) 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
- construction X applied to AG(F, Q+5P) ⊂ AG(F, Q+6P) [i] based on
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.