Information on Result #1080388
Linear OOA(2225, 202, F2, 4, 52) (dual of [(202, 4), 583, 53]-NRT-code), using (u, u+v)-construction based on
- linear OOA(227, 7, F2, 4, 26) (dual of [(7, 4), 1, 27]-NRT-code), using
- strength reduction [i] based on linear OOA(227, 7, F2, 4, 27) (dual of [(7, 4), 1, 28]-NRT-code), using
- dual of repetition NRT-code with length 7 [i]
- strength reduction [i] based on linear OOA(227, 7, F2, 4, 27) (dual of [(7, 4), 1, 28]-NRT-code), using
- linear OOA(2198, 195, F2, 4, 52) (dual of [(195, 4), 582, 53]-NRT-code), using
- extracting embedded OOA [i] based on digital (146, 198, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 66, 65)-net over F8, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
- trace code for nets [i] based on digital (14, 66, 65)-net over F8, using
- extracting embedded OOA [i] based on digital (146, 198, 195)-net over F2, 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(2226, 202, F2, 4, 52) (dual of [(202, 4), 582, 53]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2225, 101, F2, 8, 52) (dual of [(101, 8), 583, 53]-NRT-code) | [i] | OOA Folding | |