Information on Result #1005986
Linear OOA(813, 65, F8, 3, 7) (dual of [(65, 3), 182, 8]-NRT-code), using extracting embedded OOA based on digital (6, 13, 65)-net over F8, using
- base reduction for projective spaces (embedding PG(6,64) in PG(12,8)) for nets [i] based on digital (0, 7, 65)-net over F64, using
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 0 and N(F) ≥ 65, using
- the rational function field F64(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 64)-sequence over F64, 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(8119, 5592467, F8, 3, 14) (dual of [(5592467, 3), 16777282, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8127, 5592467, F8, 3, 15) (dual of [(5592467, 3), 16777274, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(824, 520, F8, 3, 7) (dual of [(520, 3), 1536, 8]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(822, 325, F8, 3, 7) (dual of [(325, 3), 953, 8]-NRT-code) | [i] | ||