Information on Result #2794066
Linear OOA(2178, 68, F2, 4, 70) (dual of [(68, 4), 94, 71]-NRT-code), using 2 times NRT-code embedding in larger space based on linear OOA(2170, 66, F2, 4, 70) (dual of [(66, 4), 94, 71]-NRT-code), using
- extracting embedded OOA [i] based on digital (100, 170, 66)-net over F2, using
- trace code for nets [i] based on digital (15, 85, 33)-net over F4, using
- net from sequence [i] based on digital (15, 32)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- net from sequence [i] based on digital (15, 32)-sequence over F4, using
- trace code for nets [i] based on digital (15, 85, 33)-net over F4, 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(2179, 68, F2, 4, 70) (dual of [(68, 4), 93, 71]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2180, 68, F2, 4, 70) (dual of [(68, 4), 92, 71]-NRT-code) | [i] | ||
| 3 | Linear OOA(2181, 68, F2, 4, 70) (dual of [(68, 4), 91, 71]-NRT-code) | [i] | ||