Information on Result #1026237
Linear OOA(3218, 76, F3, 3, 159) (dual of [(76, 3), 10, 160]-NRT-code), using juxtaposition based on
- linear OOA(350, 20, F3, 3, 39) (dual of [(20, 3), 10, 40]-NRT-code), using
- extracting embedded OOA [i] based on digital (11, 50, 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, 50, 20)-net over F3, using
- linear OOA(3158, 56, F3, 3, 119) (dual of [(56, 3), 10, 120]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(374, 28, F3, 3, 59) (dual of [(28, 3), 10, 60]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,24P) [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(374, 28, F3, 3, 59) (dual of [(28, 3), 10, 60]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3218, 76, F3, 3, 158) (dual of [(76, 3), 10, 159]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3218, 76, F3, 3, 157) (dual of [(76, 3), 10, 158]-NRT-code) | [i] | ||
| 3 | Linear OOA(3218, 76, F3, 3, 156) (dual of [(76, 3), 10, 157]-NRT-code) | [i] | ||