Information on Result #2504654
Linear OOA(591, 256, F5, 2, 32) (dual of [(256, 2), 421, 33]-NRT-code), using 51 times duplication based on linear OOA(590, 256, F5, 2, 32) (dual of [(256, 2), 422, 33]-NRT-code), using
- trace code [i] based on linear OOA(2545, 128, F25, 2, 32) (dual of [(128, 2), 211, 33]-NRT-code), using
- construction X applied to AG(2;F,217P) ⊂ AG(2;F,221P) [i] based on
- linear OOA(2542, 125, F25, 2, 32) (dual of [(125, 2), 208, 33]-NRT-code), using algebraic-geometric NRT-code AG(2;F,217P) [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(2538, 125, F25, 2, 28) (dual of [(125, 2), 212, 29]-NRT-code), using algebraic-geometric NRT-code AG(2;F,221P) [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(2542, 125, F25, 2, 32) (dual of [(125, 2), 208, 33]-NRT-code), using algebraic-geometric NRT-code AG(2;F,217P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- construction X applied to AG(2;F,217P) ⊂ AG(2;F,221P) [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.