Information on Result #2731884
Linear OOA(25667, 1026, F256, 3, 40) (dual of [(1026, 3), 3011, 41]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(25664, 1025, F256, 3, 40) (dual of [(1025, 3), 3011, 41]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,3034P) [i] based on function field F/F256 with g(F) = 24 and N(F) ≥ 1025, using
- K1,2 from the tower of function fields by Niederreiter and Xing based on the tower by GarcÃa and Stichtenoth over F256 [i]
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 | Linear OOA(25667, 1026, F256, 4, 40) (dual of [(1026, 4), 4037, 41]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25667, 1026, F256, 5, 40) (dual of [(1026, 5), 5063, 41]-NRT-code) | [i] | ||
| 3 | Linear OOA(25667, 1026, F256, 6, 40) (dual of [(1026, 6), 6089, 41]-NRT-code) | [i] | ||
| 4 | Digital (27, 67, 1026)-net over F256 | [i] | ||