Information on Result #931943
Linear OOA(2538, 131, F25, 2, 22) (dual of [(131, 2), 224, 23]-NRT-code), using construction X applied to AG(2;F,227P) ⊂ AG(2;F,234P) based on
- linear OOA(2532, 125, F25, 2, 22) (dual of [(125, 2), 218, 23]-NRT-code), using algebraic-geometric NRT-code AG(2;F,227P) [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(2525, 125, F25, 2, 15) (dual of [(125, 2), 225, 16]-NRT-code), using algebraic-geometric NRT-code AG(2;F,234P) [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
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.