Information on Result #1006211
Linear OOA(868, 208, F8, 3, 31) (dual of [(208, 3), 556, 32]-NRT-code), using extracting embedded OOA based on digital (37, 68, 208)-net over F8, using
- trace code for nets [i] based on digital (3, 34, 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(868, 208, F8, 3, 30) (dual of [(208, 3), 556, 31]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(871, 209, F8, 3, 31) (dual of [(209, 3), 556, 32]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(869, 208, F8, 3, 31) (dual of [(208, 3), 555, 32]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(8100, 368, F8, 3, 31) (dual of [(368, 3), 1004, 32]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(8104, 416, F8, 3, 31) (dual of [(416, 3), 1144, 32]-NRT-code) | [i] | ||