Information on Result #1160377
Linear OOA(2161, 76, F2, 7, 50) (dual of [(76, 7), 371, 51]-NRT-code), using (u, u+v)-construction based on
- linear OOA(231, 10, F2, 7, 25) (dual of [(10, 7), 39, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,44P) [i] based on function field F/F2 with g(F) = 6 and N(F) ≥ 10, using
- linear OOA(2130, 66, F2, 7, 50) (dual of [(66, 7), 332, 51]-NRT-code), using
- extracting embedded OOA [i] based on digital (80, 130, 66)-net over F2, using
- trace code for nets [i] based on digital (15, 65, 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, 65, 33)-net over F4, using
- extracting embedded OOA [i] based on digital (80, 130, 66)-net over F2, 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(2162, 76, F2, 7, 50) (dual of [(76, 7), 370, 51]-NRT-code) | [i] | OOA Duplication | |