Information on Result #621615

Linear OA(25645, 1285, F256, 25) (dual of [1285, 1240, 26]-code), using the BCH-code C(I) with length 1285 | 2562−1, defining interval I = {1,78,155,…,564}, and designed minimum distance d ≥ |I|+1 = 26

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(25646, 1286, F256, 25) (dual of [1286, 1240, 26]-code) [i]Code Embedding in Larger Space
2Linear OA(25647, 1287, F256, 25) (dual of [1287, 1240, 26]-code) [i]
3Linear OOA(25645, 1285, F256, 2, 25) (dual of [(1285, 2), 2525, 26]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(25645, 1285, F256, 3, 25) (dual of [(1285, 3), 3810, 26]-NRT-code) [i]
5Linear OOA(25645, 1285, F256, 4, 25) (dual of [(1285, 4), 5095, 26]-NRT-code) [i]
6Linear OOA(25645, 1285, F256, 5, 25) (dual of [(1285, 5), 6380, 26]-NRT-code) [i]
7Linear OOA(25645, 1285, F256, 6, 25) (dual of [(1285, 6), 7665, 26]-NRT-code) [i]
8Digital (20, 45, 1285)-net over F256 [i]
9Linear OOA(25645, 642, F256, 2, 25) (dual of [(642, 2), 1239, 26]-NRT-code) [i]OOA Folding
10Linear OOA(25645, 428, F256, 3, 25) (dual of [(428, 3), 1239, 26]-NRT-code) [i]