Information on Result #1045585
Linear OOA(9127, 95, F9, 3, 77) (dual of [(95, 3), 158, 78]-NRT-code), using construction X applied to AG(3;F,153P) ⊂ AG(3;F,180P) based on
- linear OOA(999, 77, F9, 3, 77) (dual of [(77, 3), 132, 78]-NRT-code), using algebraic-geometric NRT-code AG(3;F,153P) [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, using
- F3 from the tower of function fields by GarcÃa and Stichtenoth over F9 [i]
- linear OOA(972, 77, F9, 3, 50) (dual of [(77, 3), 159, 51]-NRT-code), using algebraic-geometric NRT-code AG(3;F,180P) [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78 (see above)
- linear OOA(928, 18, F9, 3, 26) (dual of [(18, 3), 26, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(928, 20, F9, 3, 26) (dual of [(20, 3), 32, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,33P) [i] based on function field F/F9 with g(F) = 2 and N(F) ≥ 20, using
- discarding factors / shortening the dual code based on linear OOA(928, 20, F9, 3, 26) (dual of [(20, 3), 32, 27]-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.