Information on Result #621611

Linear OA(25637, 1285, F256, 21) (dual of [1285, 1248, 22]-code), using the BCH-code C(I) with length 1285 | 2562−1, defining interval I = {1,78,155,…,256}, and designed minimum distance d ≥ |I|+1 = 22

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(25638, 1286, F256, 21) (dual of [1286, 1248, 22]-code) [i]Code Embedding in Larger Space
2Linear OA(25639, 1287, F256, 21) (dual of [1287, 1248, 22]-code) [i]
3Linear OOA(25637, 1128, F256, 2, 21) (dual of [(1128, 2), 2219, 22]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(25637, 1128, F256, 3, 21) (dual of [(1128, 3), 3347, 22]-NRT-code) [i]
5Linear OOA(25637, 1128, F256, 4, 21) (dual of [(1128, 4), 4475, 22]-NRT-code) [i]
6Linear OOA(25637, 1128, F256, 5, 21) (dual of [(1128, 5), 5603, 22]-NRT-code) [i]
7Linear OOA(25637, 1128, F256, 6, 21) (dual of [(1128, 6), 6731, 22]-NRT-code) [i]
8Digital (16, 37, 1128)-net over F256 [i]
9Linear OA(25638, 1309, F256, 21) (dual of [1309, 1271, 22]-code) [i]VarÅ¡amov–Edel Lengthening
10Linear OA(25639, 1628, F256, 21) (dual of [1628, 1589, 22]-code) [i]
11Linear OA(25638, 1287, F256, 21) (dual of [1287, 1249, 22]-code) [i]Construction X with VarÅ¡amov Bound
12Linear OOA(25637, 642, F256, 2, 21) (dual of [(642, 2), 1247, 22]-NRT-code) [i]OOA Folding
13Linear OOA(25637, 428, F256, 3, 21) (dual of [(428, 3), 1247, 22]-NRT-code) [i]
14Linear OOA(25637, 321, F256, 4, 21) (dual of [(321, 4), 1247, 22]-NRT-code) [i]