Information on Result #898231
Linear OOA(1617, 531, F16, 2, 7) (dual of [(531, 2), 1045, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(163, 17, F16, 2, 3) (dual of [(17, 2), 31, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;31,16) [i]
- linear OOA(1614, 514, F16, 2, 7) (dual of [(514, 2), 1014, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 14, 514)-net over F16, using
- trace code for nets [i] based on digital (0, 7, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using
- the rational function field F256(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- trace code for nets [i] based on digital (0, 7, 257)-net over F256, using
- extracting embedded OOA [i] based on digital (7, 14, 514)-net over F16, 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 | OOA(823, 531, S8, 2, 7) | [i] | Discarding Parts of the Base for OOAs | |