Information on Result #1046919
Linear OOA(8179, 382, F81, 3, 44) (dual of [(382, 3), 1067, 45]-NRT-code), using construction X applied to AG(3;F,1062P) ⊂ AG(3;F,1082P) based on
- linear OOA(8160, 369, F81, 3, 44) (dual of [(369, 3), 1047, 45]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1062P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8140, 369, F81, 3, 24) (dual of [(369, 3), 1067, 25]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1082P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(8119, 13, F81, 3, 19) (dual of [(13, 3), 20, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8119, 81, F81, 3, 19) (dual of [(81, 3), 224, 20]-NRT-code), using
- Reed–Solomon NRT-code RS(3;224,81) [i]
- discarding factors / shortening the dual code based on linear OOA(8119, 81, F81, 3, 19) (dual of [(81, 3), 224, 20]-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.