Information on Result #2498637
Linear OOA(4160, 314, F4, 2, 49) (dual of [(314, 2), 468, 50]-NRT-code), using 2 times NRT-code embedding in larger space based on linear OOA(4156, 312, F4, 2, 49) (dual of [(312, 2), 468, 50]-NRT-code), using
- extracting embedded OOA [i] based on digital (107, 156, 312)-net over F4, using
- trace code for nets [i] based on digital (3, 52, 104)-net over F64, using
- net from sequence [i] based on digital (3, 103)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104, using
- net from sequence [i] based on digital (3, 103)-sequence over F64, using
- trace code for nets [i] based on digital (3, 52, 104)-net over F64, 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(4161, 314, F4, 2, 49) (dual of [(314, 2), 467, 50]-NRT-code) | [i] | OOA Duplication | |