Information on Result #1288529
Linear OA(16110, 1026, F16, 47) (dual of [1026, 916, 48]-code), using trace code based on linear OA(25655, 513, F256, 47) (dual of [513, 458, 48]-code), using
- extended algebraic-geometric code AGe(F,465P) [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]
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(16110, 948, F16, 2, 47) (dual of [(948, 2), 1786, 48]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OA(16111, 1030, F16, 47) (dual of [1030, 919, 48]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(16112, 1056, F16, 47) (dual of [1056, 944, 48]-code) | [i] | ||
| 4 | Linear OA(16113, 1113, F16, 47) (dual of [1113, 1000, 48]-code) | [i] | ||
| 5 | Linear OA(16111, 1028, F16, 47) (dual of [1028, 917, 48]-code) | [i] | Construction X with Varšamov Bound | |