Information on Result #888220
Linear OOA(3174, 252, F3, 2, 50) (dual of [(252, 2), 330, 51]-NRT-code), using extracting embedded OOA based on digital (124, 174, 252)-net over F3, using
- trace code for nets [i] based on digital (8, 58, 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(3176, 253, F3, 2, 50) (dual of [(253, 2), 330, 51]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
2 | Linear OOA(3175, 252, F3, 2, 50) (dual of [(252, 2), 329, 51]-NRT-code) | [i] | OOA Duplication | |
3 | Linear OOA(3174, 126, F3, 4, 50) (dual of [(126, 4), 330, 51]-NRT-code) | [i] | OOA Folding |