Information on Result #888038
Linear OOA(3138, 204, F3, 2, 41) (dual of [(204, 2), 270, 42]-NRT-code), using extracting embedded OOA based on digital (97, 138, 204)-net over F3, using
- trace code for nets [i] based on digital (5, 46, 68)-net over F27, using
- net from sequence [i] based on digital (5, 67)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 5 and N(F) ≥ 68, using
- net from sequence [i] based on digital (5, 67)-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(3140, 205, F3, 2, 41) (dual of [(205, 2), 270, 42]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3139, 204, F3, 2, 41) (dual of [(204, 2), 269, 42]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3138, 102, F3, 3, 41) (dual of [(102, 3), 168, 42]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3138, 102, F3, 4, 41) (dual of [(102, 4), 270, 42]-NRT-code) | [i] | ||