Information on Result #933750
Linear OOA(27109, 120, F27, 2, 78) (dual of [(120, 2), 131, 79]-NRT-code), using construction X applied to AG(2;F,135P) ⊂ AG(2;F,149P) based on
- linear OOA(2796, 107, F27, 2, 78) (dual of [(107, 2), 118, 79]-NRT-code), using algebraic-geometric NRT-code AG(2;F,135P) [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(2782, 107, F27, 2, 64) (dual of [(107, 2), 132, 65]-NRT-code), using algebraic-geometric NRT-code AG(2;F,149P) [i] based on function field F/F27 with g(F) = 18 and N(F) ≥ 108 (see above)
- linear OOA(2713, 13, F27, 2, 13) (dual of [(13, 2), 13, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2713, 27, F27, 2, 13) (dual of [(27, 2), 41, 14]-NRT-code), using
- Reed–Solomon NRT-code RS(2;41,27) [i]
- discarding factors / shortening the dual code based on linear OOA(2713, 27, F27, 2, 13) (dual of [(27, 2), 41, 14]-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.