Information on Result #1006623
Linear OOA(913, 82, F9, 3, 7) (dual of [(82, 3), 233, 8]-NRT-code), using extracting embedded OOA based on digital (6, 13, 82)-net over F9, using
- base reduction for projective spaces (embedding PG(6,81) in PG(12,9)) 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
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(9119, 5592484, F9, 3, 14) (dual of [(5592484, 3), 16777333, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(9127, 5592484, F9, 3, 15) (dual of [(5592484, 3), 16777325, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(924, 738, F9, 3, 7) (dual of [(738, 3), 2190, 8]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(923, 492, F9, 3, 7) (dual of [(492, 3), 1453, 8]-NRT-code) | [i] | ||
| 5 | Linear OOA(922, 410, F9, 3, 7) (dual of [(410, 3), 1208, 8]-NRT-code) | [i] | ||