Information on Result #891617
Linear OOA(1648, 514, F16, 2, 24) (dual of [(514, 2), 980, 25]-NRT-code), using extracting embedded OOA based on digital (24, 48, 514)-net over F16, using
- trace code for nets [i] based on digital (0, 24, 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(1649, 514, F16, 2, 24) (dual of [(514, 2), 979, 25]-NRT-code) | [i] | OOA Duplication | |
2 | Linear OOA(1660, 531, F16, 2, 24) (dual of [(531, 2), 1002, 25]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
3 | Linear OOA(1661, 538, F16, 2, 24) (dual of [(538, 2), 1015, 25]-NRT-code) | [i] | ||
4 | Linear OOA(1662, 547, F16, 2, 24) (dual of [(547, 2), 1032, 25]-NRT-code) | [i] | ||
5 | Linear OOA(1663, 552, F16, 2, 24) (dual of [(552, 2), 1041, 25]-NRT-code) | [i] | ||
6 | Linear OOA(1664, 559, F16, 2, 24) (dual of [(559, 2), 1054, 25]-NRT-code) | [i] | ||
7 | Linear OOA(1665, 563, F16, 2, 24) (dual of [(563, 2), 1061, 25]-NRT-code) | [i] | ||
8 | Linear OOA(1666, 579, F16, 2, 24) (dual of [(579, 2), 1092, 25]-NRT-code) | [i] |