Information on Result #1005989
Linear OOA(815, 65, F8, 3, 8) (dual of [(65, 3), 180, 9]-NRT-code), using extracting embedded OOA based on digital (7, 15, 65)-net over F8, using
- base reduction for projective spaces (embedding PG(7,64) in PG(14,8)) for nets [i] based on digital (0, 8, 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(8137, 5592467, F8, 3, 16) (dual of [(5592467, 3), 16777264, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8128, 2796266, F8, 3, 17) (dual of [(2796266, 3), 8388670, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(8145, 5592467, F8, 3, 17) (dual of [(5592467, 3), 16777256, 18]-NRT-code) | [i] | ||