Information on Result #1012930
Linear OOA(517, 58, F5, 3, 7) (dual of [(58, 3), 157, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(53, 6, F5, 3, 3) (dual of [(6, 3), 15, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;15,5) [i]
- linear OOA(514, 52, F5, 3, 7) (dual of [(52, 3), 142, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 14, 52)-net over F5, using
- trace code for nets [i] based on digital (0, 7, 26)-net over F25, using
- net from sequence [i] based on digital (0, 25)-sequence over F25, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using
- the rational function field F25(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 25)-sequence over F25, using
- trace code for nets [i] based on digital (0, 7, 26)-net over F25, using
- extracting embedded OOA [i] based on digital (7, 14, 52)-net over F5, 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(5128, 2796259, F5, 3, 14) (dual of [(2796259, 3), 8388649, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(5149, 4194359, F5, 3, 14) (dual of [(4194359, 3), 12582928, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(5137, 2796259, F5, 3, 15) (dual of [(2796259, 3), 8388640, 16]-NRT-code) | [i] | ||