Information on Result #1296471
Linear OA(25665, 515, F256, 56) (dual of [515, 450, 57]-code), using construction X applied to AG(F,455P) ⊂ AG(F,457P) based on
- linear OA(25664, 512, F256, 56) (dual of [512, 448, 57]-code), using algebraic-geometric code AG(F,455P) [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]
- linear OA(25662, 512, F256, 54) (dual of [512, 450, 55]-code), using algebraic-geometric code AG(F,457P) [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513 (see above)
- linear OA(2561, 3, F256, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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 | Linear OA(16130, 1030, F16, 56) (dual of [1030, 900, 57]-code) | [i] | Trace Code | |
| 2 | OA(12875, 515, S128, 56) | [i] | Discarding Parts of the Base for OAs | |