Information on Result #1118077
Linear OOA(3201, 164, F3, 5, 64) (dual of [(164, 5), 619, 65]-NRT-code), using (u, u+v)-construction based on
- linear OOA(339, 16, F3, 5, 32) (dual of [(16, 5), 41, 33]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,47P) [i] based on function field F/F3 with g(F) = 7 and N(F) ≥ 16, using
- linear OOA(3162, 148, F3, 5, 64) (dual of [(148, 5), 578, 65]-NRT-code), using
- extracting embedded OOA [i] based on digital (98, 162, 148)-net over F3, using
- trace code for nets [i] based on digital (17, 81, 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, 81, 74)-net over F9, using
- extracting embedded OOA [i] based on digital (98, 162, 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(3202, 164, F3, 5, 64) (dual of [(164, 5), 618, 65]-NRT-code) | [i] | OOA Duplication | |