Information on Result #2648280
Linear OOA(9150, 167, F9, 3, 81) (dual of [(167, 3), 351, 82]-NRT-code), using strength reduction based on linear OOA(9150, 167, F9, 3, 82) (dual of [(167, 3), 351, 83]-NRT-code), using
- construction X applied to AG(3;F,409P) ⊂ AG(3;F,414P) [i] based on
- linear OOA(9146, 164, F9, 3, 82) (dual of [(164, 3), 346, 83]-NRT-code), using algebraic-geometric NRT-code AG(3;F,409P) [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(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 (see above)
- linear OOA(94, 3, F9, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(94, 9, F9, 3, 4) (dual of [(9, 3), 23, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;23,9) [i]
- discarding factors / shortening the dual code based on linear OOA(94, 9, F9, 3, 4) (dual of [(9, 3), 23, 5]-NRT-code), using
- linear OOA(9146, 164, F9, 3, 82) (dual of [(164, 3), 346, 83]-NRT-code), using algebraic-geometric NRT-code AG(3;F,409P) [i] based on function field F/F9 with g(F) = 64 and N(F) ≥ 165, 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.