Information on Result #1081755
Linear OOA(3176, 73, F3, 4, 82) (dual of [(73, 4), 116, 83]-NRT-code), using (u, u+v)-construction based on
- linear OOA(367, 36, F3, 4, 41) (dual of [(36, 4), 77, 42]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,102P) [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using
- algebraic-geometric NRT-code AG(4;F,51P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
- linear OOA(3109, 37, F3, 4, 82) (dual of [(37, 4), 39, 83]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 109, 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 (see above)
- net from sequence [i] based on digital (27, 36)-sequence over F3, using
- extracting embedded OOA [i] based on digital (27, 109, 37)-net over F3, 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.