Information on Result #928505
Linear OOA(9145, 167, F9, 2, 78) (dual of [(167, 2), 189, 79]-NRT-code), using construction X applied to AG(2;F,249P) ⊂ AG(2;F,253P) based on
- linear OOA(9142, 164, F9, 2, 78) (dual of [(164, 2), 186, 79]-NRT-code), using algebraic-geometric NRT-code AG(2;F,249P) [i] based on function field F/F9 with g(F) = 64 and N(F) ≥ 165, using
- T4 from the second tower of function fields by GarcÃa and Stichtenoth over F9 [i]
- linear OOA(9138, 164, F9, 2, 74) (dual of [(164, 2), 190, 75]-NRT-code), using algebraic-geometric NRT-code AG(2;F,253P) [i] based on function field F/F9 with g(F) = 64 and N(F) ≥ 165 (see above)
- linear OOA(93, 3, F9, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(93, 9, F9, 2, 3) (dual of [(9, 2), 15, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;15,9) [i]
- discarding factors / shortening the dual code based on linear OOA(93, 9, F9, 2, 3) (dual of [(9, 2), 15, 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.