Information on Result #1016072
Linear OOA(936, 328, F9, 3, 12) (dual of [(328, 3), 948, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(912, 164, F9, 3, 6) (dual of [(164, 3), 480, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 12, 164)-net over F9, using
- trace code for nets [i] based on digital (0, 6, 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, 6, 82)-net over F81, using
- extracting embedded OOA [i] based on digital (6, 12, 164)-net over F9, using
- linear OOA(924, 164, F9, 3, 12) (dual of [(164, 3), 468, 13]-NRT-code), using
- extracting embedded OOA [i] based on digital (12, 24, 164)-net over F9, using
- trace code for nets [i] based on digital (0, 12, 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, 12, 82)-net over F81, using
- extracting embedded OOA [i] based on digital (12, 24, 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(937, 328, F9, 3, 12) (dual of [(328, 3), 947, 13]-NRT-code) | [i] | OOA Duplication | |