Information on Result #2500686
Linear OOA(4239, 532, F4, 2, 72) (dual of [(532, 2), 825, 73]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(4237, 531, F4, 2, 72) (dual of [(531, 2), 825, 73]-NRT-code), using
- extracting embedded OOA [i] based on digital (165, 237, 531)-net over F4, using
- trace code for nets [i] based on digital (7, 79, 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, 79, 177)-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(4240, 532, F4, 2, 72) (dual of [(532, 2), 824, 73]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(4239, 266, F4, 3, 72) (dual of [(266, 3), 559, 73]-NRT-code) | [i] | OOA Folding | |