Information on Result #1831664
OOA(1635, 579, S16, 2, 13), using (u, u+v)-construction based on
- OOA(169, 65, S16, 2, 6), using
- extracting embedded OOA [i] based on (3, 9, 65)-net in base 16, using
- base change [i] based on digital (0, 6, 65)-net over F64, using
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 0 and N(F) ≥ 65, using
- the rational function field F64(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- base change [i] based on digital (0, 6, 65)-net over F64, using
- extracting embedded OOA [i] based on (3, 9, 65)-net in base 16, using
- linear OOA(1626, 514, F16, 2, 13) (dual of [(514, 2), 1002, 14]-NRT-code), using
- extracting embedded OOA [i] based on digital (13, 26, 514)-net over F16, using
- trace code for nets [i] based on digital (0, 13, 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, 13, 257)-net over F256, using
- extracting embedded OOA [i] based on digital (13, 26, 514)-net over F16, using
Mode: Constructive.
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(1636, 579, S16, 2, 13) | [i] | OOA Duplication | |