Information on Result #1125566
Linear OOA(3186, 54, F3, 5, 112) (dual of [(54, 5), 84, 113]-NRT-code), using construction X applied to AG(5;F,92P) ⊂ AG(5;F,123P) based on
- linear OOA(3151, 41, F3, 5, 112) (dual of [(41, 5), 54, 113]-NRT-code), using algebraic-geometric NRT-code AG(5;F,92P) [i] based on function field F/F3 with g(F) = 39 and N(F) ≥ 42, using
- linear OOA(3120, 41, F3, 5, 81) (dual of [(41, 5), 85, 82]-NRT-code), using algebraic-geometric NRT-code AG(5;F,123P) [i] based on function field F/F3 with g(F) = 39 and N(F) ≥ 42 (see above)
- linear OOA(335, 13, F3, 5, 30) (dual of [(13, 5), 30, 31]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 35, 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, 35, 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.