Information on Result #1012808
Linear OOA(4236, 180, F4, 3, 79) (dual of [(180, 3), 304, 80]-NRT-code), using (u, u+v)-construction based on
- linear OOA(484, 76, F4, 3, 39) (dual of [(76, 3), 144, 40]-NRT-code), using
- extracting embedded OOA [i] based on digital (45, 84, 76)-net over F4, using
- trace code for nets [i] based on digital (3, 42, 38)-net over F16, using
- net from sequence [i] based on digital (3, 37)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- net from sequence [i] based on digital (3, 37)-sequence over F16, using
- trace code for nets [i] based on digital (3, 42, 38)-net over F16, using
- extracting embedded OOA [i] based on digital (45, 84, 76)-net over F4, using
- linear OOA(4152, 104, F4, 3, 79) (dual of [(104, 3), 160, 80]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,232P) [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104, using
- F6 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- extended algebraic-geometric NRT-code AGe(3;F,232P) [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104, 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.