Information on Result #1822225
OA(12854, 545, S128, 29), using (u, u+v)-construction based on
- OA(12816, 257, S128, 14), using
- discarding parts of the base [i] based on linear OA(25614, 257, F256, 14) (dual of [257, 243, 15]-code or 257-arc in PG(13,256)), using
- extended Reed–Solomon code RSe(243,256) [i]
- algebraic-geometric code AG(F,121P) with degPÂ =Â 2 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using the rational function field F256(x) [i]
- algebraic-geometric code AG(F, Q+80P) with degQ = 2 and degPÂ =Â 3 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- algebraic-geometric code AG(F, Q+48P) with degQ = 2 and degPÂ =Â 5 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- discarding parts of the base [i] based on linear OA(25614, 257, F256, 14) (dual of [257, 243, 15]-code or 257-arc in PG(13,256)), using
- linear OA(12838, 288, F128, 29) (dual of [288, 250, 30]-code), using
- extended algebraic-geometric code AGe(F,258P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
Mode: Constructive.
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.