Information on Result #1046875
Linear OOA(8180, 379, F81, 3, 49) (dual of [(379, 3), 1057, 50]-NRT-code), using construction X applied to AG(3;F,1057P) ⊂ AG(3;F,1073P) based on
- linear OOA(8165, 369, F81, 3, 49) (dual of [(369, 3), 1042, 50]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1057P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8149, 369, F81, 3, 33) (dual of [(369, 3), 1058, 34]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1073P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(8115, 10, F81, 3, 15) (dual of [(10, 3), 15, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8115, 81, F81, 3, 15) (dual of [(81, 3), 228, 16]-NRT-code), using
- Reed–Solomon NRT-code RS(3;228,81) [i]
- discarding factors / shortening the dual code based on linear OOA(8115, 81, F81, 3, 15) (dual of [(81, 3), 228, 16]-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.