Information on Result #1044822
Linear OOA(9134, 83, F9, 3, 103) (dual of [(83, 3), 115, 104]-NRT-code), using construction X applied to AG(3;F,127P) ⊂ AG(3;F,137P) based on
- linear OOA(9125, 77, F9, 3, 103) (dual of [(77, 3), 106, 104]-NRT-code), using algebraic-geometric NRT-code AG(3;F,127P) [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(9115, 77, F9, 3, 93) (dual of [(77, 3), 116, 94]-NRT-code), using algebraic-geometric NRT-code AG(3;F,137P) [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78 (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.