Information on Result #895991
Linear OOA(4164, 163, F4, 2, 55) (dual of [(163, 2), 162, 56]-NRT-code), using (u, u+v)-construction based on
- linear OOA(442, 33, F4, 2, 27) (dual of [(33, 2), 24, 28]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,38P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- linear OOA(4122, 130, F4, 2, 55) (dual of [(130, 2), 138, 56]-NRT-code), using
- extracting embedded OOA [i] based on digital (67, 122, 130)-net over F4, using
- trace code for nets [i] based on digital (6, 61, 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, 61, 65)-net over F16, using
- extracting embedded OOA [i] based on digital (67, 122, 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.