Information on Result #871197
Linear OOA(3272, 82, F32, 2, 41) (dual of [(82, 2), 92, 42]-NRT-code), using OOA 2-folding based on linear OA(3272, 164, F32, 41) (dual of [164, 92, 42]-code), using
- (u, u+v)-construction [i] based on
- linear OA(3224, 66, F32, 20) (dual of [66, 42, 21]-code), using
- construction X applied to AG(F,42P) ⊂ AG(F,44P) [i] based on
- linear OA(3223, 63, F32, 20) (dual of [63, 40, 21]-code), using algebraic-geometric code AG(F,42P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- linear OA(3221, 63, F32, 18) (dual of [63, 42, 19]-code), using algebraic-geometric code AG(F,44P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64 (see above)
- linear OA(321, 3, F32, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,42P) ⊂ AG(F,44P) [i] based on
- linear OA(3248, 98, F32, 41) (dual of [98, 50, 42]-code), using
- extended algebraic-geometric code AGe(F,56P) [i] based on function field F/F32 with g(F) = 7 and N(F) ≥ 98, using
- linear OA(3224, 66, F32, 20) (dual of [66, 42, 21]-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.