Information on Result #891055
Linear OOA(914, 164, F9, 2, 7) (dual of [(164, 2), 314, 8]-NRT-code), using extracting embedded OOA based on digital (7, 14, 164)-net over F9, using
- trace code for nets [i] based on digital (0, 7, 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(915, 164, F9, 2, 7) (dual of [(164, 2), 313, 8]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(918, 246, F9, 2, 7) (dual of [(246, 2), 474, 8]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(923, 510, F9, 2, 7) (dual of [(510, 2), 997, 8]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(922, 419, F9, 2, 7) (dual of [(419, 2), 816, 8]-NRT-code) | [i] | ||
| 5 | Linear OOA(914, 82, F9, 3, 7) (dual of [(82, 3), 232, 8]-NRT-code) | [i] | OOA Folding | |