Information on Result #933809
Linear OOA(2782, 121, F27, 2, 50) (dual of [(121, 2), 160, 51]-NRT-code), using construction X applied to AG(2;F,163P) ⊂ AG(2;F,178P) based on
- linear OOA(2768, 107, F27, 2, 50) (dual of [(107, 2), 146, 51]-NRT-code), using algebraic-geometric NRT-code AG(2;F,163P) [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(2753, 107, F27, 2, 35) (dual of [(107, 2), 161, 36]-NRT-code), using algebraic-geometric NRT-code AG(2;F,178P) [i] based on function field F/F27 with g(F) = 18 and N(F) ≥ 108 (see above)
- linear OOA(2714, 14, F27, 2, 14) (dual of [(14, 2), 14, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2714, 27, F27, 2, 14) (dual of [(27, 2), 40, 15]-NRT-code), using
- Reed–Solomon NRT-code RS(2;40,27) [i]
- discarding factors / shortening the dual code based on linear OOA(2714, 27, F27, 2, 14) (dual of [(27, 2), 40, 15]-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.