Information on Result #1129609
Linear OOA(3214, 77, F3, 5, 100) (dual of [(77, 5), 171, 101]-NRT-code), using (u, u+v)-construction based on
- linear OOA(377, 37, F3, 5, 50) (dual of [(37, 5), 108, 51]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 77, 37)-net over F3, using
- net from sequence [i] based on digital (27, 36)-sequence over F3, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F3 with g(F) = 26, N(F) = 36, and 1 place with degree 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (27, 36)-sequence over F3, using
- extracting embedded OOA [i] based on digital (27, 77, 37)-net over F3, using
- linear OOA(3137, 40, F3, 5, 100) (dual of [(40, 5), 63, 101]-NRT-code), using
- construction X applied to AG(5;F,39P) ⊂ AG(5;F,45P) [i] based on
- linear OOA(3127, 36, F3, 5, 101) (dual of [(36, 5), 53, 102]-NRT-code), using algebraic-geometric NRT-code AG(5;F,39P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
- linear OOA(3115, 36, F3, 5, 89) (dual of [(36, 5), 65, 90]-NRT-code), using algebraic-geometric NRT-code AG(5;F,45P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
- linear OOA(310, 4, F3, 5, 10) (dual of [(4, 5), 10, 11]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(5;10,3) [i]
- construction X applied to AG(5;F,39P) ⊂ AG(5;F,45P) [i] based on
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.