Information on Result #1081961
Linear OOA(3205, 74, F3, 4, 101) (dual of [(74, 4), 91, 102]-NRT-code), using (u, u+v)-construction based on
- linear OOA(377, 37, F3, 4, 50) (dual of [(37, 4), 71, 51]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 77, 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, 77, 37)-net over F3, using
- linear OOA(3128, 37, F3, 4, 101) (dual of [(37, 4), 20, 102]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 128, 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, 128, 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(3205, 74, F3, 4, 100) (dual of [(74, 4), 91, 101]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3205, 74, F3, 4, 99) (dual of [(74, 4), 91, 100]-NRT-code) | [i] | ||
| 3 | Linear OOA(3209, 75, F3, 4, 101) (dual of [(75, 4), 91, 102]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(3206, 74, F3, 4, 101) (dual of [(74, 4), 90, 102]-NRT-code) | [i] | OOA Duplication | |