Information on Result #1015894
Linear OOA(923, 458, F9, 3, 7) (dual of [(458, 3), 1351, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(95, 212, F9, 3, 3) (dual of [(212, 3), 631, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(95, 212, F9, 2, 3) (dual of [(212, 2), 419, 4]-NRT-code), using
- linear OOA(918, 246, F9, 3, 7) (dual of [(246, 3), 720, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(94, 82, F9, 3, 3) (dual of [(82, 3), 242, 4]-NRT-code), using
- linear OOA(914, 164, F9, 3, 7) (dual of [(164, 3), 478, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 14, 164)-net over F9, using
- trace code for nets [i] based on digital (0, 7, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 0 and N(F) ≥ 82, using
- the rational function field F81(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- trace code for nets [i] based on digital (0, 7, 82)-net over F81, using
- extracting embedded OOA [i] based on digital (7, 14, 164)-net over F9, using
- (u, u+v)-construction [i] based on
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(9129, 5592860, F9, 3, 14) (dual of [(5592860, 3), 16778451, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(9137, 5592860, F9, 3, 15) (dual of [(5592860, 3), 16778443, 16]-NRT-code) | [i] | ||