Information on Result #1031033
Linear OOA(394, 44, F3, 3, 51) (dual of [(44, 3), 38, 52]-NRT-code), using construction X applied to AG(3;F,41P) ⊂ AG(3;F,59P) based on
- linear OOA(372, 31, F3, 3, 51) (dual of [(31, 3), 21, 52]-NRT-code), using algebraic-geometric NRT-code AG(3;F,41P) [i] based on function field F/F3 with g(F) = 21 and N(F) ≥ 32, using
- linear OOA(354, 31, F3, 3, 33) (dual of [(31, 3), 39, 34]-NRT-code), using algebraic-geometric NRT-code AG(3;F,59P) [i] based on function field F/F3 with g(F) = 21 and N(F) ≥ 32 (see above)
- linear OOA(322, 13, F3, 3, 17) (dual of [(13, 3), 17, 18]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 22, 13)-net over F3, using
- net from sequence [i] based on digital (5, 12)-sequence over F3, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F3 with g(F) = 4, N(F) = 12, and 1 place with degree 2 [i] based on function field F/F3 with g(F) = 4 and N(F) ≥ 12, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (5, 12)-sequence over F3, using
- extracting embedded OOA [i] based on digital (5, 22, 13)-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.