Information on Result #2540292
Linear OOA(16130, 1027, F16, 2, 56) (dual of [(1027, 2), 1924, 57]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(16128, 1026, F16, 2, 56) (dual of [(1026, 2), 1924, 57]-NRT-code), using
- extracting embedded OOA [i] based on digital (72, 128, 1026)-net over F16, using
- trace code for nets [i] based on digital (8, 64, 513)-net over F256, using
- net from sequence [i] based on digital (8, 512)-sequence over F256, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513, using
- K1,1 from the tower of function fields by Niederreiter and Xing based on the tower by GarcÃa and Stichtenoth over F256 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513, using
- net from sequence [i] based on digital (8, 512)-sequence over F256, using
- trace code for nets [i] based on digital (8, 64, 513)-net over F256, using
Mode: 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 | Digital (74, 130, 1027)-net over F16 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |