Information on Result #2505557
Linear OOA(5147, 262, F5, 2, 57) (dual of [(262, 2), 377, 58]-NRT-code), using 51 times duplication based on linear OOA(5146, 262, F5, 2, 57) (dual of [(262, 2), 378, 58]-NRT-code), using
- trace code [i] based on linear OOA(2573, 131, F25, 2, 57) (dual of [(131, 2), 189, 58]-NRT-code), using
- construction X applied to AG(2;F,192P) ⊂ AG(2;F,199P) [i] based on
- linear OOA(2567, 125, F25, 2, 57) (dual of [(125, 2), 183, 58]-NRT-code), using algebraic-geometric NRT-code AG(2;F,192P) [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(2560, 125, F25, 2, 50) (dual of [(125, 2), 190, 51]-NRT-code), using algebraic-geometric NRT-code AG(2;F,199P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126 (see above)
- linear OOA(256, 6, F25, 2, 6) (dual of [(6, 2), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(256, 25, F25, 2, 6) (dual of [(25, 2), 44, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;44,25) [i]
- discarding factors / shortening the dual code based on linear OOA(256, 25, F25, 2, 6) (dual of [(25, 2), 44, 7]-NRT-code), using
- linear OOA(2567, 125, F25, 2, 57) (dual of [(125, 2), 183, 58]-NRT-code), using algebraic-geometric NRT-code AG(2;F,192P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- construction X applied to AG(2;F,192P) ⊂ AG(2;F,199P) [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.