Information on Result #887495
Linear OOA(327, 84, F3, 2, 9) (dual of [(84, 2), 141, 10]-NRT-code), using extracting embedded OOA based on digital (18, 27, 84)-net over F3, using
- trace code for nets [i] based on digital (0, 9, 28)-net over F27, using
- net from sequence [i] based on digital (0, 27)-sequence over F27, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 0 and N(F) ≥ 28, using
- the rational function field F27(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 27)-sequence over F27, 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(329, 85, F3, 2, 9) (dual of [(85, 2), 141, 10]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(328, 84, F3, 2, 9) (dual of [(84, 2), 140, 10]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3207, 4194385, F3, 2, 18) (dual of [(4194385, 2), 8388563, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(3208, 4194385, F3, 2, 19) (dual of [(4194385, 2), 8388562, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(327, 42, F3, 3, 9) (dual of [(42, 3), 99, 10]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(327, 42, F3, 4, 9) (dual of [(42, 4), 141, 10]-NRT-code) | [i] | ||