Information on Result #891573
Linear OOA(1636, 514, F16, 2, 18) (dual of [(514, 2), 992, 19]-NRT-code), using extracting embedded OOA based on digital (18, 36, 514)-net over F16, using
- trace code for nets [i] based on digital (0, 18, 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(1637, 514, F16, 2, 18) (dual of [(514, 2), 991, 19]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(1645, 531, F16, 2, 18) (dual of [(531, 2), 1017, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(1646, 538, F16, 2, 18) (dual of [(538, 2), 1030, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(1647, 547, F16, 2, 18) (dual of [(547, 2), 1047, 19]-NRT-code) | [i] | ||
| 5 | Linear OOA(1648, 552, F16, 2, 18) (dual of [(552, 2), 1056, 19]-NRT-code) | [i] | ||