Information on Result #1081838
Linear OOA(3189, 74, F3, 4, 90) (dual of [(74, 4), 107, 91]-NRT-code), using (u, u+v)-construction based on
- linear OOA(372, 37, F3, 4, 45) (dual of [(37, 4), 76, 46]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 72, 37)-net over F3, using
- net from sequence [i] based on digital (27, 36)-sequence over F3, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F3 with g(F) = 26, N(F) = 36, and 1 place with degree 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (27, 36)-sequence over F3, using
- extracting embedded OOA [i] based on digital (27, 72, 37)-net over F3, using
- linear OOA(3117, 37, F3, 4, 90) (dual of [(37, 4), 31, 91]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 117, 37)-net over F3, using
- net from sequence [i] based on digital (27, 36)-sequence over F3 (see above)
- extracting embedded OOA [i] based on digital (27, 117, 37)-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3189, 74, F3, 4, 89) (dual of [(74, 4), 107, 90]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3189, 74, F3, 4, 88) (dual of [(74, 4), 107, 89]-NRT-code) | [i] | ||
| 3 | Linear OOA(3193, 75, F3, 4, 90) (dual of [(75, 4), 107, 91]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(3191, 74, F3, 4, 90) (dual of [(74, 4), 105, 91]-NRT-code) | [i] | OOA Duplication | |