Information on Result #938045
Linear OOA(570, 45, F5, 2, 50) (dual of [(45, 2), 20, 51]-NRT-code), using construction X applied to AG(2;F,16P) ⊂ AG(2;F,18P) based on
- linear OOA(568, 42, F5, 2, 51) (dual of [(42, 2), 16, 52]-NRT-code), using algebraic-geometric NRT-code AG(2;F,16P) with degPÂ =Â 2 [i] based on function field F/F5 with g(F) = 17 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
- linear OOA(564, 42, F5, 2, 47) (dual of [(42, 2), 20, 48]-NRT-code), using algebraic-geometric NRT-code AG(2;F,18P) with degPÂ =Â 2 [i] based on function field F/F5 with g(F) = 17 and N(F) ≥ 42 (see above)
- linear OOA(52, 3, F5, 2, 2) (dual of [(3, 2), 4, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(52, 5, F5, 2, 2) (dual of [(5, 2), 8, 3]-NRT-code), using
- Reed–Solomon NRT-code RS(2;8,5) [i]
- discarding factors / shortening the dual code based on linear OOA(52, 5, F5, 2, 2) (dual of [(5, 2), 8, 3]-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.