Information on Result #1014318
Linear OOA(830, 260, F8, 3, 10) (dual of [(260, 3), 750, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(810, 130, F8, 3, 5) (dual of [(130, 3), 380, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 10, 130)-net over F8, using
- trace code for nets [i] based on digital (0, 5, 65)-net over F64, using
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 0 and N(F) ≥ 65, using
- the rational function field F64(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- trace code for nets [i] based on digital (0, 5, 65)-net over F64, using
- extracting embedded OOA [i] based on digital (5, 10, 130)-net over F8, using
- linear OOA(820, 130, F8, 3, 10) (dual of [(130, 3), 370, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (10, 20, 130)-net over F8, using
- trace code for nets [i] based on digital (0, 10, 65)-net over F64, using
- net from sequence [i] based on digital (0, 64)-sequence over F64 (see above)
- trace code for nets [i] based on digital (0, 10, 65)-net over F64, using
- extracting embedded OOA [i] based on digital (10, 20, 130)-net over F8, 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(831, 260, F8, 3, 10) (dual of [(260, 3), 749, 11]-NRT-code) | [i] | OOA Duplication | |