Information on Result #898815
Linear OOA(1686, 579, F16, 2, 32) (dual of [(579, 2), 1072, 33]-NRT-code), using (u, u+v)-construction based on
- linear OOA(1622, 65, F16, 2, 16) (dual of [(65, 2), 108, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,113P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- extended algebraic-geometric NRT-code AGe(2;F,113P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- linear OOA(1664, 514, F16, 2, 32) (dual of [(514, 2), 964, 33]-NRT-code), using
- extracting embedded OOA [i] based on digital (32, 64, 514)-net over F16, using
- trace code for nets [i] based on digital (0, 32, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using
- the rational function field F256(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- trace code for nets [i] based on digital (0, 32, 257)-net over F256, using
- extracting embedded OOA [i] based on digital (32, 64, 514)-net over F16, 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(1687, 579, F16, 2, 32) (dual of [(579, 2), 1071, 33]-NRT-code) | [i] | OOA Duplication | |