Information on Result #921372
Linear OOA(5142, 107, F5, 2, 68) (dual of [(107, 2), 72, 69]-NRT-code), using construction X applied to AG(2;F,73P) ⊂ AG(2;F,102P) based on
- linear OOA(599, 71, F5, 2, 68) (dual of [(71, 2), 43, 69]-NRT-code), using algebraic-geometric NRT-code AG(2;F,73P) [i] based on function field F/F5 with g(F) = 31 and N(F) ≥ 72, using
- linear OOA(570, 71, F5, 2, 39) (dual of [(71, 2), 72, 40]-NRT-code), using algebraic-geometric NRT-code AG(2;F,102P) [i] based on function field F/F5 with g(F) = 31 and N(F) ≥ 72 (see above)
- linear OOA(543, 36, F5, 2, 28) (dual of [(36, 2), 29, 29]-NRT-code), using
- extracting embedded OOA [i] based on digital (15, 43, 36)-net over F5, using
- net from sequence [i] based on digital (15, 35)-sequence over F5, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F5 with g(F) = 11, N(F) = 32, and 4 places with degree 2 [i] based on function field F/F5 with g(F) = 11 and N(F) ≥ 32, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (15, 35)-sequence over F5, using
- extracting embedded OOA [i] based on digital (15, 43, 36)-net over F5, 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.