Information on Result #1015628
Linear OOA(8159, 389, F8, 3, 55) (dual of [(389, 3), 1008, 56]-NRT-code), using (u, u+v)-construction based on
- linear OOA(835, 35, F8, 3, 27) (dual of [(35, 3), 70, 28]-NRT-code), using
- extracting embedded OOA [i] based on digital (8, 35, 35)-net over F8, using
- net from sequence [i] based on digital (8, 34)-sequence over F8, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F8 with g(F) = 7, N(F) = 34, and 1 place with degree 2 [i] based on function field F/F8 with g(F) = 7 and N(F) ≥ 34, using a function field by Sémirat [i]
- net from sequence [i] based on digital (8, 34)-sequence over F8, using
- extracting embedded OOA [i] based on digital (8, 35, 35)-net over F8, using
- linear OOA(8124, 354, F8, 3, 55) (dual of [(354, 3), 938, 56]-NRT-code), using
- extracting embedded OOA [i] based on digital (69, 124, 354)-net over F8, using
- trace code for nets [i] based on digital (7, 62, 177)-net over F64, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- trace code for nets [i] based on digital (7, 62, 177)-net over F64, using
- extracting embedded OOA [i] based on digital (69, 124, 354)-net over F8, 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.