Information on Result #928500
Linear OOA(9147, 167, F9, 2, 80) (dual of [(167, 2), 187, 81]-NRT-code), using construction X applied to AG(2;F,247P) ⊂ AG(2;F,251P) based on
- linear OOA(9144, 164, F9, 2, 80) (dual of [(164, 2), 184, 81]-NRT-code), using algebraic-geometric NRT-code AG(2;F,247P) [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(9140, 164, F9, 2, 76) (dual of [(164, 2), 188, 77]-NRT-code), using algebraic-geometric NRT-code AG(2;F,251P) [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.