Information on Result #1006815
Linear OOA(972, 448, F9, 3, 23) (dual of [(448, 3), 1272, 24]-NRT-code), using extracting embedded OOA based on digital (49, 72, 448)-net over F9, using
- trace code for nets [i] based on digital (13, 36, 224)-net over F81, using
- net from sequence [i] based on digital (13, 223)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 13 and N(F) ≥ 224, using
- net from sequence [i] based on digital (13, 223)-sequence over F81, 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(972, 448, F9, 3, 22) (dual of [(448, 3), 1272, 23]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(975, 449, F9, 3, 23) (dual of [(449, 3), 1272, 24]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(973, 448, F9, 3, 23) (dual of [(448, 3), 1271, 24]-NRT-code) | [i] | OOA Duplication | |