Information on Result #1082250
Linear OOA(3244, 74, F3, 4, 140) (dual of [(74, 4), 52, 141]-NRT-code), using (u, u+v)-construction based on
- linear OOA(397, 37, F3, 4, 70) (dual of [(37, 4), 51, 71]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 97, 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, 97, 37)-net over F3, using
- linear OOA(3147, 37, F3, 4, 140) (dual of [(37, 4), 1, 141]-NRT-code), using
- strength reduction [i] based on linear OOA(3147, 37, F3, 4, 147) (dual of [(37, 4), 1, 148]-NRT-code), using
- dual of repetition NRT-code with length 37 [i]
- strength reduction [i] based on linear OOA(3147, 37, F3, 4, 147) (dual of [(37, 4), 1, 148]-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(3244, 74, F3, 4, 139) (dual of [(74, 4), 52, 140]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3244, 74, F3, 4, 138) (dual of [(74, 4), 52, 139]-NRT-code) | [i] | ||