Information on Result #2504882
Linear OOA(5103, 256, F5, 2, 38) (dual of [(256, 2), 409, 39]-NRT-code), using 51 times duplication based on linear OOA(5102, 256, F5, 2, 38) (dual of [(256, 2), 410, 39]-NRT-code), using
- trace code [i] based on linear OOA(2551, 128, F25, 2, 38) (dual of [(128, 2), 205, 39]-NRT-code), using
- construction X applied to AG(2;F,211P) ⊂ AG(2;F,215P) [i] based on
- linear OOA(2548, 125, F25, 2, 38) (dual of [(125, 2), 202, 39]-NRT-code), using algebraic-geometric NRT-code AG(2;F,211P) [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(2544, 125, F25, 2, 34) (dual of [(125, 2), 206, 35]-NRT-code), using algebraic-geometric NRT-code AG(2;F,215P) [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(2548, 125, F25, 2, 38) (dual of [(125, 2), 202, 39]-NRT-code), using algebraic-geometric NRT-code AG(2;F,211P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- construction X applied to AG(2;F,211P) ⊂ AG(2;F,215P) [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.