Information on Result #1002260
Linear OOA(3172, 148, F3, 3, 69) (dual of [(148, 3), 272, 70]-NRT-code), using extracting embedded OOA based on digital (103, 172, 148)-net over F3, using
- trace code for nets [i] based on digital (17, 86, 74)-net over F9, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- net from sequence [i] based on digital (17, 73)-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(3172, 148, F3, 3, 68) (dual of [(148, 3), 272, 69]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3175, 149, F3, 3, 69) (dual of [(149, 3), 272, 70]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3178, 150, F3, 3, 69) (dual of [(150, 3), 272, 70]-NRT-code) | [i] | ||
| 4 | Linear OOA(3173, 148, F3, 3, 69) (dual of [(148, 3), 271, 70]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(3217, 168, F3, 3, 69) (dual of [(168, 3), 287, 70]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(3172, 74, F3, 5, 69) (dual of [(74, 5), 198, 70]-NRT-code) | [i] | OOA Folding | |