Information on Result #1005981
Linear OOA(89, 65, F8, 3, 5) (dual of [(65, 3), 186, 6]-NRT-code), using extracting embedded OOA based on digital (4, 9, 65)-net over F8, using
- base reduction for projective spaces (embedding PG(4,64) in PG(8,8)) for nets [i] based on digital (0, 5, 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(883, 5592467, F8, 3, 10) (dual of [(5592467, 3), 16777318, 11]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(891, 5592467, F8, 3, 11) (dual of [(5592467, 3), 16777310, 12]-NRT-code) | [i] | ||