Information on Result #1045778
Linear OOA(9147, 168, F9, 3, 77) (dual of [(168, 3), 357, 78]-NRT-code), using construction X applied to AG(3;F,414P) ⊂ AG(3;F,421P) based on
- linear OOA(9141, 164, F9, 3, 77) (dual of [(164, 3), 351, 78]-NRT-code), using algebraic-geometric NRT-code AG(3;F,414P) [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(9134, 164, F9, 3, 70) (dual of [(164, 3), 358, 71]-NRT-code), using algebraic-geometric NRT-code AG(3;F,421P) [i] based on function field F/F9 with g(F) = 64 and N(F) ≥ 165 (see above)
- linear OOA(96, 4, F9, 3, 6) (dual of [(4, 3), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(96, 9, F9, 3, 6) (dual of [(9, 3), 21, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(3;21,9) [i]
- discarding factors / shortening the dual code based on linear OOA(96, 9, F9, 3, 6) (dual of [(9, 3), 21, 7]-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.