Information on Result #887551
Linear OOA(339, 144, F3, 2, 11) (dual of [(144, 2), 249, 12]-NRT-code), using extracting embedded OOA based on digital (28, 39, 144)-net over F3, using
- trace code for nets [i] based on digital (2, 13, 48)-net over F27, using
- net from sequence [i] based on digital (2, 47)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- net from sequence [i] based on digital (2, 47)-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(341, 145, F3, 2, 11) (dual of [(145, 2), 249, 12]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(340, 144, F3, 2, 11) (dual of [(144, 2), 248, 12]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3250, 4194445, F3, 2, 22) (dual of [(4194445, 2), 8388640, 23]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(339, 72, F3, 4, 11) (dual of [(72, 4), 249, 12]-NRT-code) | [i] | OOA Folding | |