Information on Result #1077008
Linear OOA(3178, 148, F3, 4, 72) (dual of [(148, 4), 414, 73]-NRT-code), using extracting embedded OOA based on digital (106, 178, 148)-net over F3, using
- trace code for nets [i] based on digital (17, 89, 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(3178, 148, F3, 4, 71) (dual of [(148, 4), 414, 72]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3182, 149, F3, 4, 72) (dual of [(149, 4), 414, 73]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3186, 150, F3, 4, 72) (dual of [(150, 4), 414, 73]-NRT-code) | [i] | ||
| 4 | Linear OOA(3179, 148, F3, 4, 72) (dual of [(148, 4), 413, 73]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(3181, 148, F3, 4, 72) (dual of [(148, 4), 411, 73]-NRT-code) | [i] | ||
| 6 | Linear OOA(3223, 167, F3, 4, 72) (dual of [(167, 4), 445, 73]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(3225, 168, F3, 4, 72) (dual of [(168, 4), 447, 73]-NRT-code) | [i] | ||
| 8 | Linear OOA(3227, 172, F3, 4, 72) (dual of [(172, 4), 461, 73]-NRT-code) | [i] | ||