Information on Result #1112033
Linear OOA(3128, 80, F3, 5, 56) (dual of [(80, 5), 272, 57]-NRT-code), using extracting embedded OOA based on digital (72, 128, 80)-net over F3, using
- trace code for nets [i] based on digital (8, 64, 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(3128, 80, F3, 5, 55) (dual of [(80, 5), 272, 56]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3128, 80, F3, 5, 54) (dual of [(80, 5), 272, 55]-NRT-code) | [i] | ||
| 3 | Linear OOA(3133, 81, F3, 5, 56) (dual of [(81, 5), 272, 57]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(3129, 80, F3, 5, 56) (dual of [(80, 5), 271, 57]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(3131, 80, F3, 5, 56) (dual of [(80, 5), 269, 57]-NRT-code) | [i] | ||