Information on Result #1002316
Linear OOA(3180, 328, F3, 3, 45) (dual of [(328, 3), 804, 46]-NRT-code), using extracting embedded OOA based on digital (135, 180, 328)-net over F3, using
- trace code for nets [i] based on digital (0, 45, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 0 and N(F) ≥ 82, using
- the rational function field F81(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 81)-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(3183, 329, F3, 3, 45) (dual of [(329, 3), 804, 46]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3181, 328, F3, 3, 45) (dual of [(328, 3), 803, 46]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3182, 328, F3, 3, 45) (dual of [(328, 3), 802, 46]-NRT-code) | [i] | ||
| 4 | Linear OOA(3180, 164, F3, 5, 45) (dual of [(164, 5), 640, 46]-NRT-code) | [i] | OOA Folding | |