Information on Result #2802744
Linear OOA(3146, 129, F3, 4, 58) (dual of [(129, 4), 370, 59]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3142, 128, F3, 4, 58) (dual of [(128, 4), 370, 59]-NRT-code), using
- extracting embedded OOA [i] based on digital (84, 142, 128)-net over F3, using
- trace code for nets [i] based on digital (13, 71, 64)-net over F9, using
- net from sequence [i] based on digital (13, 63)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 13 and N(F) ≥ 64, using
- net from sequence [i] based on digital (13, 63)-sequence over F9, using
- trace code for nets [i] based on digital (13, 71, 64)-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(3147, 129, F3, 4, 58) (dual of [(129, 4), 369, 59]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3148, 129, F3, 4, 58) (dual of [(129, 4), 368, 59]-NRT-code) | [i] | ||
| 3 | Linear OOA(3149, 129, F3, 4, 58) (dual of [(129, 4), 367, 59]-NRT-code) | [i] | ||