Information on Result #890557
Linear OOA(826, 160, F8, 2, 12) (dual of [(160, 2), 294, 13]-NRT-code), using extracting embedded OOA based on digital (14, 26, 160)-net over F8, using
- trace code for nets [i] based on digital (1, 13, 80)-net over F64, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- net from sequence [i] based on digital (1, 79)-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(828, 161, F8, 2, 12) (dual of [(161, 2), 294, 13]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(827, 160, F8, 2, 12) (dual of [(160, 2), 293, 13]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(880, 368, F8, 2, 24) (dual of [(368, 2), 656, 25]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(882, 368, F8, 2, 25) (dual of [(368, 2), 654, 26]-NRT-code) | [i] | ||
| 5 | Linear OOA(826, 80, F8, 3, 12) (dual of [(80, 3), 214, 13]-NRT-code) | [i] | OOA Folding | |