Information on Result #1001869
Linear OOA(3120, 80, F3, 3, 52) (dual of [(80, 3), 120, 53]-NRT-code), using extracting embedded OOA based on digital (68, 120, 80)-net over F3, using
- trace code for nets [i] based on digital (8, 60, 40)-net over F9, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- net from sequence [i] based on digital (8, 39)-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(3120, 80, F3, 3, 51) (dual of [(80, 3), 120, 52]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3123, 81, F3, 3, 52) (dual of [(81, 3), 120, 53]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3126, 82, F3, 3, 52) (dual of [(82, 3), 120, 53]-NRT-code) | [i] | ||
| 4 | Linear OOA(3121, 80, F3, 3, 52) (dual of [(80, 3), 119, 53]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(3120, 40, F3, 5, 52) (dual of [(40, 5), 80, 53]-NRT-code) | [i] | OOA Folding | |