Information on Result #1822173
OA(12865, 388, S128, 39), using (u, u+v)-construction based on
- OA(12822, 194, S128, 19), using
- discarding factors based on OA(12822, 257, S128, 19), using
- discarding parts of the base [i] based on linear OA(25619, 257, F256, 19) (dual of [257, 238, 20]-code or 257-arc in PG(18,256)), using
- extended Reed–Solomon code RSe(238,256) [i]
- the expurgated narrow-sense BCH-code C(I) with length 257 | 2562−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- algebraic-geometric code AG(F, Q+117P) with degQ = 3 and 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,79P) with 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+47P) 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(25619, 257, F256, 19) (dual of [257, 238, 20]-code or 257-arc in PG(18,256)), using
- discarding factors based on OA(12822, 257, S128, 19), using
- linear OA(12843, 194, F128, 39) (dual of [194, 151, 40]-code), using
- construction X applied to AG(F,151P) ⊂ AG(F,153P) [i] based on
- 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, using
- linear OA(12840, 191, F128, 37) (dual of [191, 151, 38]-code), using algebraic-geometric code AG(F,153P) [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,151P) ⊂ AG(F,153P) [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.