Information on Result #1012658
Linear OOA(4258, 558, F4, 3, 65) (dual of [(558, 3), 1416, 66]-NRT-code), using (u, u+v)-construction based on
- linear OOA(442, 27, F4, 3, 32) (dual of [(27, 3), 39, 33]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,48P) [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27, using
- linear OOA(4216, 531, F4, 3, 65) (dual of [(531, 3), 1377, 66]-NRT-code), using
- extracting embedded OOA [i] based on digital (151, 216, 531)-net over F4, using
- trace code for nets [i] based on digital (7, 72, 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, 72, 177)-net over F64, using
- extracting embedded OOA [i] based on digital (151, 216, 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(4259, 558, F4, 3, 65) (dual of [(558, 3), 1415, 66]-NRT-code) | [i] | OOA Duplication | |