Information on Result #1005979
Linear OOA(87, 65, F8, 3, 4) (dual of [(65, 3), 188, 5]-NRT-code), using extracting embedded OOA based on digital (3, 7, 65)-net over F8, using
- base reduction for projective spaces (embedding PG(3,64) in PG(6,8)) for nets [i] based on digital (0, 4, 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(865, 5592467, F8, 3, 8) (dual of [(5592467, 3), 16777336, 9]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(864, 2796266, F8, 3, 9) (dual of [(2796266, 3), 8388734, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(873, 5592467, F8, 3, 9) (dual of [(5592467, 3), 16777328, 10]-NRT-code) | [i] | ||