Information on Result #1296470
Linear OA(25663, 512, F256, 55) (dual of [512, 449, 56]-code), using algebraic-geometric code AG(F,456P) 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 OA(25666, 515, F256, 57) (dual of [515, 449, 58]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 2 | Linear OA(25664, 515, F256, 55) (dual of [515, 451, 56]-code) | [i] | ✔ | |
| 3 | Linear OA(25668, 517, F256, 58) (dual of [517, 449, 59]-code) | [i] | ✔ | |
| 4 | Linear OA(25665, 517, F256, 55) (dual of [517, 452, 56]-code) | [i] | ✔ | |
| 5 | Linear OA(25666, 519, F256, 55) (dual of [519, 453, 56]-code) | [i] | ✔ | |
| 6 | Linear OA(25667, 521, F256, 55) (dual of [521, 454, 56]-code) | [i] | ✔ | |
| 7 | Linear OA(25668, 523, F256, 55) (dual of [523, 455, 56]-code) | [i] | ✔ | |