Information on Result #1049042
Linear OOA(4203, 166, F4, 3, 68) (dual of [(166, 3), 295, 69]-NRT-code), using (u, u+v)-construction based on
- linear OOA(455, 36, F4, 3, 34) (dual of [(36, 3), 53, 35]-NRT-code), using
- construction X applied to AG(3;F,61P) ⊂ AG(3;F,68P) [i] based on
- linear OOA(449, 32, F4, 3, 34) (dual of [(32, 3), 47, 35]-NRT-code), using algebraic-geometric NRT-code AG(3;F,61P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- linear OOA(442, 32, F4, 3, 27) (dual of [(32, 3), 54, 28]-NRT-code), using algebraic-geometric NRT-code AG(3;F,68P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33 (see above)
- linear OOA(46, 4, F4, 3, 6) (dual of [(4, 3), 6, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(3;6,4) [i]
- construction X applied to AG(3;F,61P) ⊂ AG(3;F,68P) [i] based on
- linear OOA(4148, 130, F4, 3, 68) (dual of [(130, 3), 242, 69]-NRT-code), using
- extracting embedded OOA [i] based on digital (80, 148, 130)-net over F4, using
- trace code for nets [i] based on digital (6, 74, 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, 74, 65)-net over F16, using
- extracting embedded OOA [i] based on digital (80, 148, 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.