Information on Result #664790
Linear OA(16125, 595, F16, 45) (dual of [595, 470, 46]-code), using (u, u+v)-construction based on
- linear OA(1633, 75, F16, 22) (dual of [75, 42, 23]-code), using
- construction X applied to AG(F,41P) ⊂ AG(F,47P) [i] based on
- linear OA(1628, 64, F16, 22) (dual of [64, 36, 23]-code), using algebraic-geometric code AG(F,41P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- linear OA(1622, 64, F16, 16) (dual of [64, 42, 17]-code), using algebraic-geometric code AG(F,47P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(165, 11, F16, 5) (dual of [11, 6, 6]-code or 11-arc in PG(4,16)), using
- discarding factors / shortening the dual code based on linear OA(165, 16, F16, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,16)), using
- Reed–Solomon code RS(11,16) [i]
- discarding factors / shortening the dual code based on linear OA(165, 16, F16, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,16)), using
- linear OA(1628, 64, F16, 22) (dual of [64, 36, 23]-code), using algebraic-geometric code AG(F,41P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- construction X applied to AG(F,41P) ⊂ AG(F,47P) [i] based on
- linear OA(1692, 520, F16, 45) (dual of [520, 428, 46]-code), using
- trace code [i] based on linear OA(25646, 260, F256, 45) (dual of [260, 214, 46]-code), using
- construction X applied to AG(F, Q+104P) ⊂ AG(F, Q+105P) [i] based on
- linear OA(25645, 257, F256, 45) (dual of [257, 212, 46]-code or 257-arc in PG(44,256)), using algebraic-geometric code AG(F, Q+104P) 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(25643, 257, F256, 43) (dual of [257, 214, 44]-code or 257-arc in PG(42,256)), using algebraic-geometric code AG(F, Q+105P) with degQ = 3 and degPÂ =Â 2 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- linear OA(2561, 3, F256, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F, Q+104P) ⊂ AG(F, Q+105P) [i] based on
- trace code [i] based on linear OA(25646, 260, F256, 45) (dual of [260, 214, 46]-code), using
Mode: Constructive and linear.
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.