Information on Result #2624436
Linear OOA(3173, 61, F3, 3, 122) (dual of [(61, 3), 10, 123]-NRT-code), using strength reduction based on linear OOA(3173, 61, F3, 3, 124) (dual of [(61, 3), 10, 125]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(329, 13, F3, 3, 24) (dual of [(13, 3), 10, 25]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 29, 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, 29, 13)-net over F3, using
- linear OOA(3134, 48, F3, 3, 99) (dual of [(48, 3), 10, 100]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(362, 24, F3, 3, 49) (dual of [(24, 3), 10, 50]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,22P) [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(362, 24, F3, 3, 49) (dual of [(24, 3), 10, 50]-NRT-code), using
- linear OOA(329, 13, F3, 3, 24) (dual of [(13, 3), 10, 25]-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.