Information on Result #1112375
Linear OOA(3162, 80, F3, 5, 73) (dual of [(80, 5), 238, 74]-NRT-code), using extracting embedded OOA based on digital (89, 162, 80)-net over F3, using
- trace code for nets [i] based on digital (8, 81, 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(3162, 80, F3, 5, 72) (dual of [(80, 5), 238, 73]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3162, 80, F3, 5, 71) (dual of [(80, 5), 238, 72]-NRT-code) | [i] | ||
| 3 | Linear OOA(3167, 81, F3, 5, 73) (dual of [(81, 5), 238, 74]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(3163, 80, F3, 5, 73) (dual of [(80, 5), 237, 74]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(3165, 80, F3, 5, 73) (dual of [(80, 5), 235, 74]-NRT-code) | [i] | ||