Information on Result #1112041
Linear OOA(3128, 640, F3, 5, 27) (dual of [(640, 5), 3072, 28]-NRT-code), using extracting embedded OOA based on digital (101, 128, 640)-net over F3, using
- trace code for nets [i] based on digital (5, 32, 160)-net over F81, using
- net from sequence [i] based on digital (5, 159)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 5 and N(F) ≥ 160, using
- net from sequence [i] based on digital (5, 159)-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(3128, 640, F3, 5, 26) (dual of [(640, 5), 3072, 27]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3133, 641, F3, 5, 27) (dual of [(641, 5), 3072, 28]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3129, 640, F3, 5, 27) (dual of [(640, 5), 3071, 28]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3130, 640, F3, 5, 27) (dual of [(640, 5), 3070, 28]-NRT-code) | [i] | ||
| 5 | Linear OOA(3131, 640, F3, 5, 27) (dual of [(640, 5), 3069, 28]-NRT-code) | [i] | ||