Information on Result #2804121
Linear OOA(3182, 149, F3, 4, 72) (dual of [(149, 4), 414, 73]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3178, 148, F3, 4, 72) (dual of [(148, 4), 414, 73]-NRT-code), using
- extracting embedded OOA [i] 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
- trace code for nets [i] based on digital (17, 89, 74)-net 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(3183, 149, F3, 4, 72) (dual of [(149, 4), 413, 73]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3184, 149, F3, 4, 72) (dual of [(149, 4), 412, 73]-NRT-code) | [i] | ||
| 3 | Linear OOA(3185, 149, F3, 4, 72) (dual of [(149, 4), 411, 73]-NRT-code) | [i] | ||