Information on Result #1002259
Linear OOA(3172, 128, F3, 3, 73) (dual of [(128, 3), 212, 74]-NRT-code), using extracting embedded OOA based on digital (99, 172, 128)-net over F3, using
- trace code for nets [i] based on digital (13, 86, 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(3172, 128, F3, 3, 72) (dual of [(128, 3), 212, 73]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3175, 129, F3, 3, 73) (dual of [(129, 3), 212, 74]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3178, 130, F3, 3, 73) (dual of [(130, 3), 212, 74]-NRT-code) | [i] | ||
| 4 | Linear OOA(3173, 128, F3, 3, 73) (dual of [(128, 3), 211, 74]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(3172, 64, F3, 5, 73) (dual of [(64, 5), 148, 74]-NRT-code) | [i] | OOA Folding | |