Information on Result #933829
Linear OOA(2791, 122, F27, 2, 58) (dual of [(122, 2), 153, 59]-NRT-code), using construction X applied to AG(2;F,155P) ⊂ AG(2;F,171P) based on
- linear OOA(2776, 107, F27, 2, 58) (dual of [(107, 2), 138, 59]-NRT-code), using algebraic-geometric NRT-code AG(2;F,155P) [i] based on function field F/F27 with g(F) = 18 and N(F) ≥ 108, using
- F3 from the tower of function fields by Bezerra, GarcÃa, and Stichtenoth over F27 [i]
- linear OOA(2760, 107, F27, 2, 42) (dual of [(107, 2), 154, 43]-NRT-code), using algebraic-geometric NRT-code AG(2;F,171P) [i] based on function field F/F27 with g(F) = 18 and N(F) ≥ 108 (see above)
- linear OOA(2715, 15, F27, 2, 15) (dual of [(15, 2), 15, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2715, 27, F27, 2, 15) (dual of [(27, 2), 39, 16]-NRT-code), using
- Reed–Solomon NRT-code RS(2;39,27) [i]
- discarding factors / shortening the dual code based on linear OOA(2715, 27, F27, 2, 15) (dual of [(27, 2), 39, 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.