Information on Result #1822152
OA(12878, 550, S128, 42), using (u, u+v)-construction based on
- OA(12827, 262, S128, 21), using
- discarding parts of the base [i] based on linear OA(25623, 262, F256, 21) (dual of [262, 239, 22]-code), using
- construction X applied to AG(F, Q+77P) ⊂ AG(F, Q+78P) [i] based on
- linear OA(25621, 257, F256, 21) (dual of [257, 236, 22]-code or 257-arc in PG(20,256)), using algebraic-geometric code AG(F, Q+116P) 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]
- linear OA(25618, 257, F256, 18) (dual of [257, 239, 19]-code or 257-arc in PG(17,256)), using algebraic-geometric code AG(F,119P) with degPÂ =Â 2 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- linear OA(2562, 5, F256, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,256)), using
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), using
- Reed–Solomon code RS(254,256) [i]
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), using
- construction X applied to AG(F, Q+77P) ⊂ AG(F, Q+78P) [i] based on
- discarding parts of the base [i] based on linear OA(25623, 262, F256, 21) (dual of [262, 239, 22]-code), using
- linear OA(12851, 288, F128, 42) (dual of [288, 237, 43]-code), using
- extended algebraic-geometric code AGe(F,245P) [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.