Information on Result #2804971
Linear OOA(3218, 158, F3, 4, 83) (dual of [(158, 4), 414, 84]-NRT-code), using 2 times NRT-code embedding in larger space based on linear OOA(3210, 156, F3, 4, 83) (dual of [(156, 4), 414, 84]-NRT-code), using
- extracting embedded OOA [i] based on digital (127, 210, 156)-net over F3, using
- trace code for nets [i] based on digital (22, 105, 78)-net over F9, using
- net from sequence [i] based on digital (22, 77)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, using
- F3 from the tower of function fields by GarcÃa and Stichtenoth over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, using
- net from sequence [i] based on digital (22, 77)-sequence over F9, using
- trace code for nets [i] based on digital (22, 105, 78)-net over F9, 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(3219, 158, F3, 4, 83) (dual of [(158, 4), 413, 84]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3220, 158, F3, 4, 83) (dual of [(158, 4), 412, 84]-NRT-code) | [i] | ||
| 3 | Linear OOA(3221, 158, F3, 4, 83) (dual of [(158, 4), 411, 84]-NRT-code) | [i] | ||