Information on Result #1016613
Linear OOA(9142, 780, F9, 3, 41) (dual of [(780, 3), 2198, 42]-NRT-code), using (u, u+v)-construction based on
- linear OOA(928, 40, F9, 3, 20) (dual of [(40, 3), 92, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,99P) [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- linear OOA(9114, 740, F9, 3, 41) (dual of [(740, 3), 2106, 42]-NRT-code), using
- extracting embedded OOA [i] based on digital (73, 114, 740)-net over F9, using
- trace code for nets [i] based on digital (16, 57, 370)-net over F81, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
- trace code for nets [i] based on digital (16, 57, 370)-net over F81, using
- extracting embedded OOA [i] based on digital (73, 114, 740)-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(9143, 780, F9, 3, 41) (dual of [(780, 3), 2197, 42]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(9144, 780, F9, 3, 41) (dual of [(780, 3), 2196, 42]-NRT-code) | [i] | ||