Information on Result #2498737
Linear OOA(4169, 386, F4, 2, 50) (dual of [(386, 2), 603, 51]-NRT-code), using 2 times NRT-code embedding in larger space based on linear OOA(4165, 384, F4, 2, 50) (dual of [(384, 2), 603, 51]-NRT-code), using
- extracting embedded OOA [i] based on digital (115, 165, 384)-net over F4, using
- trace code for nets [i] based on digital (5, 55, 128)-net over F64, using
- net from sequence [i] based on digital (5, 127)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 5 and N(F) ≥ 128, using
- net from sequence [i] based on digital (5, 127)-sequence over F64, using
- trace code for nets [i] based on digital (5, 55, 128)-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(4170, 386, F4, 2, 50) (dual of [(386, 2), 602, 51]-NRT-code) | [i] | OOA Duplication | |