Information on Result #1090772
Linear OOA(3193, 61, F3, 4, 109) (dual of [(61, 4), 51, 110]-NRT-code), using construction X applied to AG(4;F,54P) ⊂ AG(4;F,89P) based on
- linear OOA(3148, 41, F3, 4, 109) (dual of [(41, 4), 16, 110]-NRT-code), using algebraic-geometric NRT-code AG(4;F,54P) [i] based on function field F/F3 with g(F) = 39 and N(F) ≥ 42, using
- linear OOA(3113, 41, F3, 4, 74) (dual of [(41, 4), 51, 75]-NRT-code), using algebraic-geometric NRT-code AG(4;F,89P) [i] based on function field F/F3 with g(F) = 39 and N(F) ≥ 42 (see above)
- linear OOA(345, 20, F3, 4, 34) (dual of [(20, 4), 35, 35]-NRT-code), using
- extracting embedded OOA [i] based on digital (11, 45, 20)-net over F3, using
- net from sequence [i] based on digital (11, 19)-sequence over F3, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F3 with g(F) = 9, N(F) = 19, and 1 place with degree 3 [i] based on function field F/F3 with g(F) = 9 and N(F) ≥ 19, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (11, 19)-sequence over F3, using
- extracting embedded OOA [i] based on digital (11, 45, 20)-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.