Information on Result #1002189
Linear OOA(3162, 148, F3, 3, 64) (dual of [(148, 3), 282, 65]-NRT-code), using extracting embedded OOA based on digital (98, 162, 148)-net over F3, using
- trace code for nets [i] based on digital (17, 81, 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(3162, 148, F3, 3, 63) (dual of [(148, 3), 282, 64]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3165, 149, F3, 3, 64) (dual of [(149, 3), 282, 65]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3168, 150, F3, 3, 64) (dual of [(150, 3), 282, 65]-NRT-code) | [i] | ||
| 4 | Linear OOA(3163, 148, F3, 3, 64) (dual of [(148, 3), 281, 65]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(3203, 167, F3, 3, 64) (dual of [(167, 3), 298, 65]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(3162, 74, F3, 5, 64) (dual of [(74, 5), 208, 65]-NRT-code) | [i] | OOA Folding | |