Information on Result #1080460
Linear OOA(2256, 206, F2, 4, 59) (dual of [(206, 4), 568, 60]-NRT-code), using (u, u+v)-construction based on
- linear OOA(237, 11, F2, 4, 29) (dual of [(11, 4), 7, 30]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,14P) [i] based on function field F/F2 with g(F) = 8 and N(F) ≥ 11, using
- linear OOA(2219, 195, F2, 4, 59) (dual of [(195, 4), 561, 60]-NRT-code), using
- extracting embedded OOA [i] based on digital (160, 219, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 73, 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, 73, 65)-net over F8, using
- extracting embedded OOA [i] based on digital (160, 219, 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(2256, 103, F2, 7, 59) (dual of [(103, 7), 465, 60]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2256, 103, F2, 8, 59) (dual of [(103, 8), 568, 60]-NRT-code) | [i] | ||