Information on Result #2505006
Linear OOA(5109, 256, F5, 2, 41) (dual of [(256, 2), 403, 42]-NRT-code), using 51 times duplication based on linear OOA(5108, 256, F5, 2, 41) (dual of [(256, 2), 404, 42]-NRT-code), using
- trace code [i] based on linear OOA(2554, 128, F25, 2, 41) (dual of [(128, 2), 202, 42]-NRT-code), using
- construction X applied to AG(2;F,208P) ⊂ AG(2;F,212P) [i] based on
- linear OOA(2551, 125, F25, 2, 41) (dual of [(125, 2), 199, 42]-NRT-code), using algebraic-geometric NRT-code AG(2;F,208P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- linear OOA(2547, 125, F25, 2, 37) (dual of [(125, 2), 203, 38]-NRT-code), using algebraic-geometric NRT-code AG(2;F,212P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126 (see above)
- linear OOA(253, 3, F25, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(253, 25, F25, 2, 3) (dual of [(25, 2), 47, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;47,25) [i]
- discarding factors / shortening the dual code based on linear OOA(253, 25, F25, 2, 3) (dual of [(25, 2), 47, 4]-NRT-code), using
- linear OOA(2551, 125, F25, 2, 41) (dual of [(125, 2), 199, 42]-NRT-code), using algebraic-geometric NRT-code AG(2;F,208P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- construction X applied to AG(2;F,208P) ⊂ AG(2;F,212P) [i] based on
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.