Information on Result #2489477
Linear OOA(3238, 643, F3, 2, 53) (dual of [(643, 2), 1048, 54]-NRT-code), using 3 times NRT-code embedding in larger space based on linear OOA(3232, 640, F3, 2, 53) (dual of [(640, 2), 1048, 54]-NRT-code), using
- extracting embedded OOA [i] based on digital (179, 232, 640)-net over F3, using
- trace code for nets [i] based on digital (5, 58, 160)-net over F81, using
- net from sequence [i] based on digital (5, 159)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 5 and N(F) ≥ 160, using
- net from sequence [i] based on digital (5, 159)-sequence over F81, using
- trace code for nets [i] based on digital (5, 58, 160)-net over F81, 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(3239, 643, F3, 2, 53) (dual of [(643, 2), 1047, 54]-NRT-code) | [i] | OOA Duplication | |