Information on Result #1015917
Linear OOA(924, 328, F9, 3, 8) (dual of [(328, 3), 960, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(98, 164, F9, 3, 4) (dual of [(164, 3), 484, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 8, 164)-net over F9, using
- trace code for nets [i] based on digital (0, 4, 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
- trace code for nets [i] based on digital (0, 4, 82)-net over F81, using
- extracting embedded OOA [i] based on digital (4, 8, 164)-net over F9, using
- linear OOA(916, 164, F9, 3, 8) (dual of [(164, 3), 476, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (8, 16, 164)-net over F9, using
- trace code for nets [i] based on digital (0, 8, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81 (see above)
- trace code for nets [i] based on digital (0, 8, 82)-net over F81, using
- extracting embedded OOA [i] based on digital (8, 16, 164)-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(925, 328, F9, 3, 8) (dual of [(328, 3), 959, 9]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(9146, 5592730, F9, 3, 16) (dual of [(5592730, 3), 16778044, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |