Information on Result #1176363
Linear OOA(2226, 205, F2, 8, 51) (dual of [(205, 8), 1414, 52]-NRT-code), using (u, u+v)-construction based on
- linear OOA(231, 10, F2, 8, 25) (dual of [(10, 8), 49, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(8;F,54P) [i] based on function field F/F2 with g(F) = 6 and N(F) ≥ 10, using
- linear OOA(2195, 195, F2, 8, 51) (dual of [(195, 8), 1365, 52]-NRT-code), using
- extracting embedded OOA [i] based on digital (144, 195, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 65, 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, 65, 65)-net over F8, using
- extracting embedded OOA [i] based on digital (144, 195, 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(2227, 205, F2, 8, 51) (dual of [(205, 8), 1413, 52]-NRT-code) | [i] | OOA Duplication | |