Information on Result #664781
Linear OA(16127, 593, F16, 46) (dual of [593, 466, 47]-code), using (u, u+v)-construction based on
- linear OA(1633, 73, F16, 23) (dual of [73, 40, 24]-code), using
- construction X applied to AG(F,40P) ⊂ AG(F,45P) [i] based on
- linear OA(1629, 64, F16, 23) (dual of [64, 35, 24]-code), using algebraic-geometric code AG(F,40P) [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(1624, 64, F16, 18) (dual of [64, 40, 19]-code), using algebraic-geometric code AG(F,45P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(164, 9, F16, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,16)), using
- discarding factors / shortening the dual code based on linear OA(164, 16, F16, 4) (dual of [16, 12, 5]-code or 16-arc in PG(3,16)), using
- Reed–Solomon code RS(12,16) [i]
- discarding factors / shortening the dual code based on linear OA(164, 16, F16, 4) (dual of [16, 12, 5]-code or 16-arc in PG(3,16)), using
- linear OA(1629, 64, F16, 23) (dual of [64, 35, 24]-code), using algebraic-geometric code AG(F,40P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- construction X applied to AG(F,40P) ⊂ AG(F,45P) [i] based on
- linear OA(1694, 520, F16, 46) (dual of [520, 426, 47]-code), using
- trace code [i] based on linear OA(25647, 260, F256, 46) (dual of [260, 213, 47]-code), using
- construction X applied to AG(F,105P) ⊂ AG(F,106P) [i] based on
- linear OA(25646, 257, F256, 46) (dual of [257, 211, 47]-code or 257-arc in PG(45,256)), using algebraic-geometric code AG(F,105P) 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]
- linear OA(25644, 257, F256, 44) (dual of [257, 213, 45]-code or 257-arc in PG(43,256)), using algebraic-geometric code AG(F,106P) with 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,105P) ⊂ AG(F,106P) [i] based on
- trace code [i] based on linear OA(25647, 260, F256, 46) (dual of [260, 213, 47]-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.