Information on Result #1006630
Linear OOA(918, 164, F9, 3, 9) (dual of [(164, 3), 474, 10]-NRT-code), using extracting embedded OOA based on digital (9, 18, 164)-net over F9, using
- trace code for nets [i] based on digital (0, 9, 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(919, 164, F9, 3, 9) (dual of [(164, 3), 473, 10]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(925, 246, F9, 3, 9) (dual of [(246, 3), 713, 10]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(926, 328, F9, 3, 9) (dual of [(328, 3), 958, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(956, 364, F9, 3, 18) (dual of [(364, 3), 1036, 19]-NRT-code) | [i] | ||
| 5 | Linear OOA(958, 364, F9, 3, 19) (dual of [(364, 3), 1034, 20]-NRT-code) | [i] | ||
| 6 | Linear OOA(930, 410, F9, 3, 9) (dual of [(410, 3), 1200, 10]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |