Information on Result #896480
Linear OOA(818, 195, F8, 2, 7) (dual of [(195, 2), 372, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(84, 65, F8, 2, 3) (dual of [(65, 2), 126, 4]-NRT-code), using
- linear OOA(814, 130, F8, 2, 7) (dual of [(130, 2), 246, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 14, 130)-net over F8, using
- trace code 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
- trace code for nets [i] based on digital (0, 7, 65)-net over F64, using
- extracting embedded OOA [i] based on digital (7, 14, 130)-net over F8, 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(823, 390, F8, 2, 7) (dual of [(390, 2), 757, 8]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(818, 97, F8, 3, 7) (dual of [(97, 3), 273, 8]-NRT-code) | [i] | OOA Folding | |