Information on Result #1118337
Linear OOA(3182, 73, F3, 5, 86) (dual of [(73, 5), 183, 87]-NRT-code), using (u, u+v)-construction based on
- linear OOA(369, 36, F3, 5, 43) (dual of [(36, 5), 111, 44]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,136P) [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using
- algebraic-geometric NRT-code AG(5;F,68P) 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(3113, 37, F3, 5, 86) (dual of [(37, 5), 72, 87]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 113, 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, 113, 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.