Information on Result #1012931
Linear OOA(518, 78, F5, 3, 7) (dual of [(78, 3), 216, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(54, 26, F5, 3, 3) (dual of [(26, 3), 74, 4]-NRT-code), using
- 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(5129, 2796279, F5, 3, 14) (dual of [(2796279, 3), 8388708, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(5150, 4194379, F5, 3, 14) (dual of [(4194379, 3), 12582987, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(5138, 2796279, F5, 3, 15) (dual of [(2796279, 3), 8388699, 16]-NRT-code) | [i] | ||