Information on Result #1006510
Linear OOA(8142, 208, F8, 3, 68) (dual of [(208, 3), 482, 69]-NRT-code), using extracting embedded OOA based on digital (74, 142, 208)-net over F8, using
- trace code for nets [i] based on digital (3, 71, 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
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(8142, 208, F8, 3, 67) (dual of [(208, 3), 482, 68]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8145, 209, F8, 3, 68) (dual of [(209, 3), 482, 69]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(8143, 208, F8, 3, 68) (dual of [(208, 3), 481, 69]-NRT-code) | [i] | OOA Duplication | |