Information on Result #1090618
Linear OOA(3151, 54, F3, 4, 84) (dual of [(54, 4), 65, 85]-NRT-code), using construction X applied to AG(4;F,79P) ⊂ AG(4;F,103P) based on
- linear OOA(3123, 41, F3, 4, 84) (dual of [(41, 4), 41, 85]-NRT-code), using algebraic-geometric NRT-code AG(4;F,79P) [i] based on function field F/F3 with g(F) = 39 and N(F) ≥ 42, using
- linear OOA(399, 41, F3, 4, 60) (dual of [(41, 4), 65, 61]-NRT-code), using algebraic-geometric NRT-code AG(4;F,103P) [i] based on function field F/F3 with g(F) = 39 and N(F) ≥ 42 (see above)
- linear OOA(328, 13, F3, 4, 23) (dual of [(13, 4), 24, 24]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 28, 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, 28, 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.