Information on Result #899006
Linear OOA(16110, 583, F16, 2, 40) (dual of [(583, 2), 1056, 41]-NRT-code), using (u, u+v)-construction based on
- linear OOA(1626, 65, F16, 2, 20) (dual of [(65, 2), 104, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,109P) [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,109P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- linear OOA(1684, 518, F16, 2, 40) (dual of [(518, 2), 952, 41]-NRT-code), using
- extracting embedded OOA [i] based on digital (44, 84, 518)-net over F16, using
- trace code for nets [i] based on digital (2, 42, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
- trace code for nets [i] based on digital (2, 42, 259)-net over F256, using
- extracting embedded OOA [i] based on digital (44, 84, 518)-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(16111, 583, F16, 2, 40) (dual of [(583, 2), 1055, 41]-NRT-code) | [i] | OOA Duplication | |