Information on Result #1012559
Linear OOA(4234, 552, F4, 3, 59) (dual of [(552, 3), 1422, 60]-NRT-code), using (u, u+v)-construction based on
- linear OOA(436, 21, F4, 3, 29) (dual of [(21, 3), 27, 30]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,33P) [i] based on function field F/F4 with g(F) = 7 and N(F) ≥ 21, using
- linear OOA(4198, 531, F4, 3, 59) (dual of [(531, 3), 1395, 60]-NRT-code), using
- extracting embedded OOA [i] based on digital (139, 198, 531)-net over F4, using
- trace code for nets [i] based on digital (7, 66, 177)-net over F64, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- trace code for nets [i] based on digital (7, 66, 177)-net over F64, using
- extracting embedded OOA [i] based on digital (139, 198, 531)-net over F4, 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(4235, 552, F4, 3, 59) (dual of [(552, 3), 1421, 60]-NRT-code) | [i] | OOA Duplication | |