Information on Result #1822184
OA(12864, 407, S128, 38), using (u, u+v)-construction based on
- linear OA(12820, 150, F128, 19) (dual of [150, 130, 20]-code), using
- extended algebraic-geometric code AGe(F,130P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- OA(12844, 257, S128, 38), using
- discarding parts of the base [i] based on linear OA(25638, 257, F256, 38) (dual of [257, 219, 39]-code or 257-arc in PG(37,256)), using
- extended Reed–Solomon code RSe(219,256) [i]
- algebraic-geometric code AG(F,109P) 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+72P) 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+43P) with degQ = 3 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(25638, 257, F256, 38) (dual of [257, 219, 39]-code or 257-arc in PG(37,256)), 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.