Information on Result #1007070
Linear OOA(9138, 344, F9, 3, 62) (dual of [(344, 3), 894, 63]-NRT-code), using extracting embedded OOA based on digital (76, 138, 344)-net over F9, using
- trace code for nets [i] based on digital (7, 69, 172)-net over F81, using
- net from sequence [i] based on digital (7, 171)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- net from sequence [i] based on digital (7, 171)-sequence over F81, 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(9138, 344, F9, 3, 61) (dual of [(344, 3), 894, 62]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(9141, 345, F9, 3, 62) (dual of [(345, 3), 894, 63]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(9144, 346, F9, 3, 62) (dual of [(346, 3), 894, 63]-NRT-code) | [i] | ||
| 4 | Linear OOA(9139, 344, F9, 3, 62) (dual of [(344, 3), 893, 63]-NRT-code) | [i] | OOA Duplication | |