Information on Result #1118123
Linear OOA(3217, 168, F3, 5, 69) (dual of [(168, 5), 623, 70]-NRT-code), using (u, u+v)-construction based on
- linear OOA(345, 20, F3, 5, 34) (dual of [(20, 5), 55, 35]-NRT-code), using
- extracting embedded OOA [i] based on digital (11, 45, 20)-net over F3, using
- net from sequence [i] based on digital (11, 19)-sequence over F3, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F3 with g(F) = 9, N(F) = 19, and 1 place with degree 3 [i] based on function field F/F3 with g(F) = 9 and N(F) ≥ 19, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (11, 19)-sequence over F3, using
- extracting embedded OOA [i] based on digital (11, 45, 20)-net over F3, using
- linear OOA(3172, 148, F3, 5, 69) (dual of [(148, 5), 568, 70]-NRT-code), using
- extracting embedded OOA [i] based on digital (103, 172, 148)-net over F3, using
- trace code for nets [i] based on digital (17, 86, 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, 86, 74)-net over F9, using
- extracting embedded OOA [i] based on digital (103, 172, 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(3218, 168, F3, 5, 69) (dual of [(168, 5), 622, 70]-NRT-code) | [i] | OOA Duplication | |