Information on Result #888126
Linear OOA(3156, 252, F3, 2, 44) (dual of [(252, 2), 348, 45]-NRT-code), using extracting embedded OOA based on digital (112, 156, 252)-net over F3, using
- trace code for nets [i] based on digital (8, 52, 84)-net over F27, using
- net from sequence [i] based on digital (8, 83)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 8 and N(F) ≥ 84, using
- net from sequence [i] based on digital (8, 83)-sequence over F27, 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(3158, 253, F3, 2, 44) (dual of [(253, 2), 348, 45]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3157, 252, F3, 2, 44) (dual of [(252, 2), 347, 45]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3156, 126, F3, 3, 44) (dual of [(126, 3), 222, 45]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3156, 126, F3, 4, 44) (dual of [(126, 4), 348, 45]-NRT-code) | [i] | ||