Information on Result #1128720
Linear OOA(3143, 38, F3, 5, 112) (dual of [(38, 5), 47, 113]-NRT-code), using construction X applied to AG(5;F,33P) ⊂ AG(5;F,36P) based on
- linear OOA(3139, 36, F3, 5, 113) (dual of [(36, 5), 41, 114]-NRT-code), using algebraic-geometric NRT-code AG(5;F,33P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
- linear OOA(3133, 36, F3, 5, 107) (dual of [(36, 5), 47, 108]-NRT-code), using algebraic-geometric NRT-code AG(5;F,36P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
- linear OOA(34, 2, F3, 5, 4) (dual of [(2, 5), 6, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(34, 3, F3, 5, 4) (dual of [(3, 5), 11, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(5;11,3) [i]
- discarding factors / shortening the dual code based on linear OOA(34, 3, F3, 5, 4) (dual of [(3, 5), 11, 5]-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.