Information on Result #890714
Linear OOA(864, 354, F8, 2, 25) (dual of [(354, 2), 644, 26]-NRT-code), using extracting embedded OOA based on digital (39, 64, 354)-net over F8, using
- trace code for nets [i] based on digital (7, 32, 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(866, 355, F8, 2, 25) (dual of [(355, 2), 644, 26]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(868, 356, F8, 2, 25) (dual of [(356, 2), 644, 26]-NRT-code) | [i] | ||
| 3 | Linear OOA(865, 354, F8, 2, 25) (dual of [(354, 2), 643, 26]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(876, 363, F8, 2, 25) (dual of [(363, 2), 650, 26]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(877, 368, F8, 2, 25) (dual of [(368, 2), 659, 26]-NRT-code) | [i] | ||
| 6 | Linear OOA(878, 371, F8, 2, 25) (dual of [(371, 2), 664, 26]-NRT-code) | [i] | ||
| 7 | Linear OOA(879, 378, F8, 2, 25) (dual of [(378, 2), 677, 26]-NRT-code) | [i] | ||
| 8 | Linear OOA(880, 379, F8, 2, 25) (dual of [(379, 2), 678, 26]-NRT-code) | [i] | ||
| 9 | Linear OOA(881, 382, F8, 2, 25) (dual of [(382, 2), 683, 26]-NRT-code) | [i] | ||
| 10 | Linear OOA(864, 177, F8, 3, 25) (dual of [(177, 3), 467, 26]-NRT-code) | [i] | OOA Folding | |