Information on Result #1006168
Linear OOA(858, 354, F8, 3, 22) (dual of [(354, 3), 1004, 23]-NRT-code), using extracting embedded OOA based on digital (36, 58, 354)-net over F8, using
- trace code for nets [i] based on digital (7, 29, 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
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(858, 354, F8, 3, 21) (dual of [(354, 3), 1004, 22]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(861, 355, F8, 3, 22) (dual of [(355, 3), 1004, 23]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(864, 356, F8, 3, 22) (dual of [(356, 3), 1004, 23]-NRT-code) | [i] | ||
| 4 | Linear OOA(859, 354, F8, 3, 22) (dual of [(354, 3), 1003, 23]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(869, 363, F8, 3, 22) (dual of [(363, 3), 1020, 23]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(870, 368, F8, 3, 22) (dual of [(368, 3), 1034, 23]-NRT-code) | [i] | ||
| 7 | Linear OOA(871, 371, F8, 3, 22) (dual of [(371, 3), 1042, 23]-NRT-code) | [i] | ||
| 8 | Linear OOA(872, 378, F8, 3, 22) (dual of [(378, 3), 1062, 23]-NRT-code) | [i] | ||
| 9 | Linear OOA(873, 379, F8, 3, 22) (dual of [(379, 3), 1064, 23]-NRT-code) | [i] | ||
| 10 | Linear OOA(874, 382, F8, 3, 22) (dual of [(382, 3), 1072, 23]-NRT-code) | [i] | ||
| 11 | Linear OOA(876, 388, F8, 3, 22) (dual of [(388, 3), 1088, 23]-NRT-code) | [i] | ||