Information on Result #891780
Linear OOA(1680, 514, F16, 2, 40) (dual of [(514, 2), 948, 41]-NRT-code), using extracting embedded OOA based on digital (40, 80, 514)-net over F16, using
- trace code for nets [i] based on digital (0, 40, 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
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(1681, 514, F16, 2, 40) (dual of [(514, 2), 947, 41]-NRT-code) | [i] | OOA Duplication | |
| 2 | OOA(8107, 514, S8, 2, 40) | [i] | Discarding Parts of the Base for OOAs | |
| 3 | Linear OOA(16101, 538, F16, 2, 40) (dual of [(538, 2), 975, 41]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(16102, 547, F16, 2, 40) (dual of [(547, 2), 992, 41]-NRT-code) | [i] | ||
| 5 | Linear OOA(16103, 552, F16, 2, 40) (dual of [(552, 2), 1001, 41]-NRT-code) | [i] | ||
| 6 | Linear OOA(16104, 559, F16, 2, 40) (dual of [(559, 2), 1014, 41]-NRT-code) | [i] | ||
| 7 | Linear OOA(16105, 563, F16, 2, 40) (dual of [(563, 2), 1021, 41]-NRT-code) | [i] | ||
| 8 | Linear OOA(16106, 579, F16, 2, 40) (dual of [(579, 2), 1052, 41]-NRT-code) | [i] | ||