Information on Result #1129620
Linear OOA(3220, 77, F3, 5, 104) (dual of [(77, 5), 165, 105]-NRT-code), using (u, u+v)-construction based on
- linear OOA(379, 37, F3, 5, 52) (dual of [(37, 5), 106, 53]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 79, 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, 79, 37)-net over F3, using
- linear OOA(3141, 40, F3, 5, 104) (dual of [(40, 5), 59, 105]-NRT-code), using
- construction X applied to AG(5;F,37P) ⊂ AG(5;F,43P) [i] based on
- linear OOA(3131, 36, F3, 5, 105) (dual of [(36, 5), 49, 106]-NRT-code), using algebraic-geometric NRT-code AG(5;F,37P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
- linear OOA(3119, 36, F3, 5, 93) (dual of [(36, 5), 61, 94]-NRT-code), using algebraic-geometric NRT-code AG(5;F,43P) 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,37P) ⊂ AG(5;F,43P) [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.