Information on Result #2804727
Linear OOA(3180, 81, F3, 4, 80) (dual of [(81, 4), 144, 81]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3176, 80, F3, 4, 80) (dual of [(80, 4), 144, 81]-NRT-code), using
- extracting embedded OOA [i] based on digital (96, 176, 80)-net over F3, using
- trace code for nets [i] based on digital (8, 88, 40)-net over F9, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
- trace code for nets [i] based on digital (8, 88, 40)-net over F9, 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(3181, 81, F3, 4, 80) (dual of [(81, 4), 143, 81]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3182, 81, F3, 4, 80) (dual of [(81, 4), 142, 81]-NRT-code) | [i] | ||
| 3 | Linear OOA(3183, 81, F3, 4, 80) (dual of [(81, 4), 141, 81]-NRT-code) | [i] | ||