Information on Result #1822156
OA(12868, 388, S128, 41), using (u, u+v)-construction based on
- OA(12823, 194, S128, 20), using
- discarding factors based on OA(12823, 257, S128, 20), using
- discarding parts of the base [i] based on linear OA(25620, 257, F256, 20) (dual of [257, 237, 21]-code or 257-arc in PG(19,256)), using
- extended Reed–Solomon code RSe(237,256) [i]
- algebraic-geometric code AG(F,118P) 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+78P) 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+46P) with degQ = 6 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(25620, 257, F256, 20) (dual of [257, 237, 21]-code or 257-arc in PG(19,256)), using
- discarding factors based on OA(12823, 257, S128, 20), using
- linear OA(12845, 194, F128, 41) (dual of [194, 149, 42]-code), using
- construction X applied to AG(F,149P) ⊂ AG(F,151P) [i] based on
- linear OA(12844, 191, F128, 41) (dual of [191, 147, 42]-code), using algebraic-geometric code AG(F,149P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- linear OA(12842, 191, F128, 39) (dual of [191, 149, 40]-code), using algebraic-geometric code AG(F,151P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192 (see above)
- linear OA(1281, 3, F128, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,149P) ⊂ AG(F,151P) [i] based on
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.