Information on Result #1012345
Linear OOA(4118, 139, F4, 3, 42) (dual of [(139, 3), 299, 43]-NRT-code), using (u, u+v)-construction based on
- linear OOA(422, 9, F4, 3, 21) (dual of [(9, 3), 5, 22]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,5P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- extended algebraic-geometric NRT-code AGe(3;F,5P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- linear OOA(496, 130, F4, 3, 42) (dual of [(130, 3), 294, 43]-NRT-code), using
- extracting embedded OOA [i] based on digital (54, 96, 130)-net over F4, using
- trace code for nets [i] based on digital (6, 48, 65)-net over F16, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- trace code for nets [i] based on digital (6, 48, 65)-net over F16, using
- extracting embedded OOA [i] based on digital (54, 96, 130)-net over F4, 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.