Information on Result #1045800
Linear OOA(9147, 170, F9, 3, 74) (dual of [(170, 3), 363, 75]-NRT-code), using construction X applied to AG(3;F,417P) ⊂ AG(3;F,427P) based on
- linear OOA(9138, 164, F9, 3, 74) (dual of [(164, 3), 354, 75]-NRT-code), using algebraic-geometric NRT-code AG(3;F,417P) [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(9128, 164, F9, 3, 64) (dual of [(164, 3), 364, 65]-NRT-code), using algebraic-geometric NRT-code AG(3;F,427P) [i] based on function field F/F9 with g(F) = 64 and N(F) ≥ 165 (see above)
- linear OOA(99, 6, F9, 3, 9) (dual of [(6, 3), 9, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(99, 9, F9, 3, 9) (dual of [(9, 3), 18, 10]-NRT-code), using
- Reed–Solomon NRT-code RS(3;18,9) [i]
- discarding factors / shortening the dual code based on linear OOA(99, 9, F9, 3, 9) (dual of [(9, 3), 18, 10]-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.