Information on Result #2804849
Linear OOA(3238, 165, F3, 4, 81) (dual of [(165, 4), 422, 82]-NRT-code), using 3 times NRT-code embedding in larger space based on linear OOA(3226, 162, F3, 4, 81) (dual of [(162, 4), 422, 82]-NRT-code), using
- extracting embedded OOA [i] based on digital (145, 226, 162)-net over F3, using
- trace code for nets [i] based on digital (32, 113, 81)-net over F9, using
- net from sequence [i] based on digital (32, 80)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 32 and N(F) ≥ 81, using
- F4 from the tower of function fields by Bezerra and GarcÃa over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 32 and N(F) ≥ 81, using
- net from sequence [i] based on digital (32, 80)-sequence over F9, using
- trace code for nets [i] based on digital (32, 113, 81)-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(3239, 165, F3, 4, 81) (dual of [(165, 4), 421, 82]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3240, 165, F3, 4, 81) (dual of [(165, 4), 420, 82]-NRT-code) | [i] | ||
| 3 | Linear OOA(3241, 165, F3, 4, 81) (dual of [(165, 4), 419, 82]-NRT-code) | [i] | ||