Information on Result #1006111
Linear OOA(846, 160, F8, 3, 22) (dual of [(160, 3), 434, 23]-NRT-code), using extracting embedded OOA based on digital (24, 46, 160)-net over F8, using
- trace code for nets [i] based on digital (1, 23, 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(846, 160, F8, 3, 21) (dual of [(160, 3), 434, 22]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(849, 161, F8, 3, 22) (dual of [(161, 3), 434, 23]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(847, 160, F8, 3, 22) (dual of [(160, 3), 433, 23]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(8140, 368, F8, 3, 44) (dual of [(368, 3), 964, 45]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(8142, 368, F8, 3, 45) (dual of [(368, 3), 962, 46]-NRT-code) | [i] | ||