Information on Result #1015891
Linear OOA(918, 246, F9, 3, 7) (dual of [(246, 3), 720, 8]-NRT-code), using (u, u+v)-construction 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
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(923, 458, F9, 3, 7) (dual of [(458, 3), 1351, 8]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(924, 492, F9, 3, 7) (dual of [(492, 3), 1452, 8]-NRT-code) | [i] | ||
| 3 | Linear OOA(9124, 5592648, F9, 3, 14) (dual of [(5592648, 3), 16777820, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(952, 464, F9, 3, 15) (dual of [(464, 3), 1340, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(9132, 5592648, F9, 3, 15) (dual of [(5592648, 3), 16777812, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(918, 245, F9, 9, 7) (dual of [(245, 9), 2187, 8]-NRT-code) | [i] | OOA Stacking with Additional Row | |