Information on Result #1026315
Linear OOA(3175, 61, F3, 3, 130) (dual of [(61, 3), 8, 131]-NRT-code), using juxtaposition based on
- linear OOA(331, 13, F3, 3, 26) (dual of [(13, 3), 8, 27]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 31, 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, 31, 13)-net over F3, using
- linear OOA(3136, 48, F3, 3, 103) (dual of [(48, 3), 8, 104]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(364, 24, F3, 3, 51) (dual of [(24, 3), 8, 52]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,20P) [i] based on function field F/F3 with g(F) = 13 and N(F) ≥ 24, using
- repeating each code word 2 times [i] based on linear OOA(364, 24, F3, 3, 51) (dual of [(24, 3), 8, 52]-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.