Information on Result #1046832
Linear OOA(8177, 377, F81, 3, 49) (dual of [(377, 3), 1054, 50]-NRT-code), using construction X applied to AG(3;F,1057P) ⊂ AG(3;F,1070P) 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(8152, 369, F81, 3, 36) (dual of [(369, 3), 1055, 37]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1070P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(8112, 8, F81, 3, 12) (dual of [(8, 3), 12, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8112, 81, F81, 3, 12) (dual of [(81, 3), 231, 13]-NRT-code), using
- Reed–Solomon NRT-code RS(3;231,81) [i]
- discarding factors / shortening the dual code based on linear OOA(8112, 81, F81, 3, 12) (dual of [(81, 3), 231, 13]-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.