Information on Result #2626760
Linear OOA(3212, 76, F3, 3, 139) (dual of [(76, 3), 16, 140]-NRT-code), using strength reduction based on linear OOA(3212, 76, F3, 3, 141) (dual of [(76, 3), 16, 142]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(344, 20, F3, 3, 33) (dual of [(20, 3), 16, 34]-NRT-code), using
- extracting embedded OOA [i] based on digital (11, 44, 20)-net over F3, using
- net from sequence [i] based on digital (11, 19)-sequence over F3, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F3 with g(F) = 9, N(F) = 19, and 1 place with degree 3 [i] based on function field F/F3 with g(F) = 9 and N(F) ≥ 19, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (11, 19)-sequence over F3, using
- extracting embedded OOA [i] based on digital (11, 44, 20)-net over F3, using
- linear OOA(3152, 56, F3, 3, 107) (dual of [(56, 3), 16, 108]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(368, 28, F3, 3, 53) (dual of [(28, 3), 16, 54]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,30P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- repeating each code word 2 times [i] based on linear OOA(368, 28, F3, 3, 53) (dual of [(28, 3), 16, 54]-NRT-code), using
- linear OOA(344, 20, F3, 3, 33) (dual of [(20, 3), 16, 34]-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.