Information on Result #2772160
Linear OOA(3168, 69, F3, 4, 78) (dual of [(69, 4), 108, 79]-NRT-code), using strength reduction based on linear OOA(3168, 69, F3, 4, 80) (dual of [(69, 4), 108, 81]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(361, 32, F3, 4, 40) (dual of [(32, 4), 67, 41]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,87P) [i] based on function field F/F3 with g(F) = 21 and N(F) ≥ 32, using
- linear OOA(3107, 37, F3, 4, 80) (dual of [(37, 4), 41, 81]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 107, 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, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (27, 36)-sequence over F3, using
- extracting embedded OOA [i] based on digital (27, 107, 37)-net over F3, using
- linear OOA(361, 32, F3, 4, 40) (dual of [(32, 4), 67, 41]-NRT-code), 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.