Information on Result #669150
Linear OA(4943, 103, F49, 28) (dual of [103, 60, 29]-code), using (u, u+v)-construction based on
- linear OA(4914, 50, F49, 14) (dual of [50, 36, 15]-code or 50-arc in PG(13,49)), using
- extended Reed–Solomon code RSe(36,49) [i]
- algebraic-geometric code AG(F, Q+16P) with degQ = 3 and 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]
- algebraic-geometric code AG(F, Q+11P) with degQ = 2 and degPÂ =Â 3 [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50 (see above)
- algebraic-geometric code AG(F,7P) with degPÂ =Â 5 [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50 (see above)
- linear OA(4929, 53, F49, 28) (dual of [53, 24, 29]-code), using
- construction X applied to AG(F, Q+9P) ⊂ AG(F, Q+10P) [i] based on
- linear OA(4928, 50, F49, 28) (dual of [50, 22, 29]-code or 50-arc in PG(27,49)), using algebraic-geometric code AG(F, Q+9P) 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(4926, 50, F49, 26) (dual of [50, 24, 27]-code or 50-arc in PG(25,49)), using algebraic-geometric code AG(F, Q+10P) 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(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, Q+9P) ⊂ AG(F, Q+10P) [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.