Information on Result #2802656
Linear OOA(3170, 159, F3, 4, 57) (dual of [(159, 4), 466, 58]-NRT-code), using 3 times NRT-code embedding in larger space based on linear OOA(3158, 156, F3, 4, 57) (dual of [(156, 4), 466, 58]-NRT-code), using
- extracting embedded OOA [i] based on digital (101, 158, 156)-net over F3, using
- trace code for nets [i] based on digital (22, 79, 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, 79, 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(3171, 159, F3, 4, 57) (dual of [(159, 4), 465, 58]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3172, 159, F3, 4, 57) (dual of [(159, 4), 464, 58]-NRT-code) | [i] | ||
| 3 | Linear OOA(3173, 159, F3, 4, 57) (dual of [(159, 4), 463, 58]-NRT-code) | [i] | ||