Information on Result #1011228
Linear OOA(3232, 169, F3, 3, 75) (dual of [(169, 3), 275, 76]-NRT-code), using (u, u+v)-construction based on
- linear OOA(338, 13, F3, 3, 37) (dual of [(13, 3), 1, 38]-NRT-code), using
- strength reduction [i] based on linear OOA(338, 13, F3, 3, 38) (dual of [(13, 3), 1, 39]-NRT-code), using
- dual of repetition NRT-code with length 13 [i]
- strength reduction [i] based on linear OOA(338, 13, F3, 3, 38) (dual of [(13, 3), 1, 39]-NRT-code), using
- linear OOA(3194, 156, F3, 3, 75) (dual of [(156, 3), 274, 76]-NRT-code), using
- extracting embedded OOA [i] based on digital (119, 194, 156)-net over F3, using
- trace code for nets [i] based on digital (22, 97, 78)-net over F9, using
- net from sequence [i] based on digital (22, 77)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [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]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, using
- net from sequence [i] based on digital (22, 77)-sequence over F9, using
- trace code for nets [i] based on digital (22, 97, 78)-net over F9, using
- extracting embedded OOA [i] based on digital (119, 194, 156)-net over F3, 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.