Information on Result #1002190
Linear OOA(3162, 156, F3, 3, 59) (dual of [(156, 3), 306, 60]-NRT-code), using extracting embedded OOA based on digital (103, 162, 156)-net over F3, using
- trace code for nets [i] based on digital (22, 81, 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
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(3162, 156, F3, 3, 58) (dual of [(156, 3), 306, 59]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3165, 157, F3, 3, 59) (dual of [(157, 3), 306, 60]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3168, 158, F3, 3, 59) (dual of [(158, 3), 306, 60]-NRT-code) | [i] | ||
| 4 | Linear OOA(3163, 156, F3, 3, 59) (dual of [(156, 3), 305, 60]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(3162, 78, F3, 5, 59) (dual of [(78, 5), 228, 60]-NRT-code) | [i] | OOA Folding | |