Information on Result #1014195
Linear OOA(7108, 200, F7, 3, 36) (dual of [(200, 3), 492, 37]-NRT-code), using (u, u+v)-construction based on
- linear OOA(736, 100, F7, 3, 18) (dual of [(100, 3), 264, 19]-NRT-code), using
- extracting embedded OOA [i] based on digital (18, 36, 100)-net over F7, using
- trace code for nets [i] based on digital (0, 18, 50)-net over F49, using
- net from sequence [i] based on digital (0, 49)-sequence over F49, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50, using
- the rational function field F49(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 49)-sequence over F49, using
- trace code for nets [i] based on digital (0, 18, 50)-net over F49, using
- extracting embedded OOA [i] based on digital (18, 36, 100)-net over F7, using
- linear OOA(772, 100, F7, 3, 36) (dual of [(100, 3), 228, 37]-NRT-code), using
- extracting embedded OOA [i] based on digital (36, 72, 100)-net over F7, using
- trace code for nets [i] based on digital (0, 36, 50)-net over F49, using
- net from sequence [i] based on digital (0, 49)-sequence over F49 (see above)
- trace code for nets [i] based on digital (0, 36, 50)-net over F49, using
- extracting embedded OOA [i] based on digital (36, 72, 100)-net over F7, 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(7109, 200, F7, 3, 36) (dual of [(200, 3), 491, 37]-NRT-code) | [i] | OOA Duplication | |