Information on Result #1045698
Linear OOA(9131, 99, F9, 3, 75) (dual of [(99, 3), 166, 76]-NRT-code), using construction X applied to AG(3;F,155P) ⊂ AG(3;F,187P) based on
- linear OOA(997, 77, F9, 3, 75) (dual of [(77, 3), 134, 76]-NRT-code), using algebraic-geometric NRT-code AG(3;F,155P) [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(965, 77, F9, 3, 43) (dual of [(77, 3), 166, 44]-NRT-code), using algebraic-geometric NRT-code AG(3;F,187P) [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78 (see above)
- linear OOA(934, 22, F9, 3, 31) (dual of [(22, 3), 32, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(934, 28, F9, 3, 31) (dual of [(28, 3), 50, 32]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,52P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric NRT-code AGe(3;F,52P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OOA(934, 28, F9, 3, 31) (dual of [(28, 3), 50, 32]-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.