Information on Result #2877824
Linear OOA(3161, 159, F3, 5, 50) (dual of [(159, 5), 634, 51]-NRT-code), using 32 times duplication based on linear OOA(3159, 159, F3, 5, 50) (dual of [(159, 5), 636, 51]-NRT-code), using
- 3 times NRT-code embedding in larger space [i] based on linear OOA(3144, 156, F3, 5, 50) (dual of [(156, 5), 636, 51]-NRT-code), using
- extracting embedded OOA [i] based on digital (94, 144, 156)-net over F3, using
- trace code for nets [i] based on digital (22, 72, 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, 72, 78)-net over F9, using
- extracting embedded OOA [i] based on digital (94, 144, 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.