Information on Result #1118180
Linear OOA(3232, 172, F3, 5, 74) (dual of [(172, 5), 628, 75]-NRT-code), using (u, u+v)-construction based on
- linear OOA(350, 24, F3, 5, 37) (dual of [(24, 5), 70, 38]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,82P) [i] based on function field F/F3 with g(F) = 13 and N(F) ≥ 24, using
- linear OOA(3182, 148, F3, 5, 74) (dual of [(148, 5), 558, 75]-NRT-code), using
- extracting embedded OOA [i] based on digital (108, 182, 148)-net over F3, using
- trace code for nets [i] based on digital (17, 91, 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, 91, 74)-net over F9, using
- extracting embedded OOA [i] based on digital (108, 182, 148)-net over F3, 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(3233, 172, F3, 5, 74) (dual of [(172, 5), 627, 75]-NRT-code) | [i] | OOA Duplication | |