Information on Result #1011283
Linear OOA(3243, 170, F3, 3, 79) (dual of [(170, 3), 267, 80]-NRT-code), using (u, u+v)-construction based on
- linear OOA(341, 14, F3, 3, 39) (dual of [(14, 3), 1, 40]-NRT-code), using
- strength reduction [i] based on linear OOA(341, 14, F3, 3, 41) (dual of [(14, 3), 1, 42]-NRT-code), using
- dual of repetition NRT-code with length 14 [i]
- strength reduction [i] based on linear OOA(341, 14, F3, 3, 41) (dual of [(14, 3), 1, 42]-NRT-code), using
- linear OOA(3202, 156, F3, 3, 79) (dual of [(156, 3), 266, 80]-NRT-code), using
- extracting embedded OOA [i] based on digital (123, 202, 156)-net over F3, using
- trace code for nets [i] based on digital (22, 101, 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, 101, 78)-net over F9, using
- extracting embedded OOA [i] based on digital (123, 202, 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.