Information on Result #1113162
Linear OOA(3204, 162, F3, 5, 70) (dual of [(162, 5), 606, 71]-NRT-code), using extracting embedded OOA based on digital (134, 204, 162)-net over F3, using
- trace code for nets [i] based on digital (32, 102, 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
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(3204, 162, F3, 5, 69) (dual of [(162, 5), 606, 70]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3204, 162, F3, 5, 68) (dual of [(162, 5), 606, 69]-NRT-code) | [i] | ||
| 3 | Linear OOA(3209, 163, F3, 5, 70) (dual of [(163, 5), 606, 71]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(3214, 164, F3, 5, 70) (dual of [(164, 5), 606, 71]-NRT-code) | [i] | ||
| 5 | Linear OOA(3205, 162, F3, 5, 70) (dual of [(162, 5), 605, 71]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(3207, 162, F3, 5, 70) (dual of [(162, 5), 603, 71]-NRT-code) | [i] | ||