Information on Result #931609
Linear OOA(2580, 128, F25, 2, 67) (dual of [(128, 2), 176, 68]-NRT-code), using construction X applied to AG(2;F,182P) ⊂ AG(2;F,186P) based on
- linear OOA(2577, 125, F25, 2, 67) (dual of [(125, 2), 173, 68]-NRT-code), using algebraic-geometric NRT-code AG(2;F,182P) [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(2573, 125, F25, 2, 63) (dual of [(125, 2), 177, 64]-NRT-code), using algebraic-geometric NRT-code AG(2;F,186P) [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
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.