Information on Result #1128678
Linear OOA(3171, 38, F3, 5, 140) (dual of [(38, 5), 19, 141]-NRT-code), using construction X applied to AG(5;F,19P) ⊂ AG(5;F,22P) based on
- linear OOA(3167, 36, F3, 5, 141) (dual of [(36, 5), 13, 142]-NRT-code), using algebraic-geometric NRT-code AG(5;F,19P) 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(3161, 36, F3, 5, 135) (dual of [(36, 5), 19, 136]-NRT-code), using algebraic-geometric NRT-code AG(5;F,22P) 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.