Information on Result #933625
Linear OOA(2757, 110, F27, 2, 36) (dual of [(110, 2), 163, 37]-NRT-code), using construction X applied to AG(2;F,177P) ⊂ AG(2;F,181P) based on
- linear OOA(2754, 107, F27, 2, 36) (dual of [(107, 2), 160, 37]-NRT-code), using algebraic-geometric NRT-code AG(2;F,177P) [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(2750, 107, F27, 2, 32) (dual of [(107, 2), 164, 33]-NRT-code), using algebraic-geometric NRT-code AG(2;F,181P) [i] based on function field F/F27 with g(F) = 18 and N(F) ≥ 108 (see above)
- linear OOA(273, 3, F27, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(273, 27, F27, 2, 3) (dual of [(27, 2), 51, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;51,27) [i]
- discarding factors / shortening the dual code based on linear OOA(273, 27, F27, 2, 3) (dual of [(27, 2), 51, 4]-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.