Information on Result #1002269
Linear OOA(3174, 128, F3, 3, 74) (dual of [(128, 3), 210, 75]-NRT-code), using extracting embedded OOA based on digital (100, 174, 128)-net over F3, using
- trace code for nets [i] based on digital (13, 87, 64)-net over F9, using
- net from sequence [i] based on digital (13, 63)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 13 and N(F) ≥ 64, using
- net from sequence [i] based on digital (13, 63)-sequence over F9, 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(3174, 128, F3, 3, 73) (dual of [(128, 3), 210, 74]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3177, 129, F3, 3, 74) (dual of [(129, 3), 210, 75]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3180, 130, F3, 3, 74) (dual of [(130, 3), 210, 75]-NRT-code) | [i] | ||
| 4 | Linear OOA(3175, 128, F3, 3, 74) (dual of [(128, 3), 209, 75]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(3174, 64, F3, 5, 74) (dual of [(64, 5), 146, 75]-NRT-code) | [i] | OOA Folding | |