Information on Result #621610

Linear OA(25636, 1285, F256, 20) (dual of [1285, 1249, 21]-code), using the BCH-code C(I) with length 1285 | 2562−1, defining interval I = {1,18,35,…,324}, and designed minimum distance d ≥ |I|+1 = 21

Mode: Constructive and 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:

ResultThis
result
only
Method
1Linear OA(25637, 1286, F256, 20) (dual of [1286, 1249, 21]-code) [i]Code Embedding in Larger Space
2Linear OOA(25636, 1285, F256, 2, 20) (dual of [(1285, 2), 2534, 21]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(25636, 1285, F256, 3, 20) (dual of [(1285, 3), 3819, 21]-NRT-code) [i]
4Linear OOA(25636, 1285, F256, 4, 20) (dual of [(1285, 4), 5104, 21]-NRT-code) [i]
5Linear OOA(25636, 1285, F256, 5, 20) (dual of [(1285, 5), 6389, 21]-NRT-code) [i]
6Linear OOA(25636, 1285, F256, 6, 20) (dual of [(1285, 6), 7674, 21]-NRT-code) [i]
7Digital (16, 36, 1285)-net over F256 [i]
8Linear OA(25637, 1534, F256, 20) (dual of [1534, 1497, 21]-code) [i]VarÅ¡amov–Edel Lengthening
9Linear OOA(25636, 642, F256, 2, 20) (dual of [(642, 2), 1248, 21]-NRT-code) [i]OOA Folding
10Linear OOA(25636, 428, F256, 3, 20) (dual of [(428, 3), 1248, 21]-NRT-code) [i]