Information on Result #621574

Linear OA(25638, 4369, F256, 20) (dual of [4369, 4331, 21]-code), using the BCH-code C(I) with length 4369 | 2562−1, defining interval I = {1,16,31,…,286}, 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 OOA(25638, 2634, F256, 2, 20) (dual of [(2634, 2), 5230, 21]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(25638, 2634, F256, 3, 20) (dual of [(2634, 3), 7864, 21]-NRT-code) [i]
3Linear OOA(25638, 2634, F256, 4, 20) (dual of [(2634, 4), 10498, 21]-NRT-code) [i]
4Linear OOA(25638, 2634, F256, 5, 20) (dual of [(2634, 5), 13132, 21]-NRT-code) [i]
5Linear OOA(25638, 2634, F256, 6, 20) (dual of [(2634, 6), 15766, 21]-NRT-code) [i]
6Digital (18, 38, 2634)-net over F256 [i]
7Linear OOA(25638, 2184, F256, 2, 20) (dual of [(2184, 2), 4330, 21]-NRT-code) [i]OOA Folding
8Linear OOA(25638, 1456, F256, 3, 20) (dual of [(1456, 3), 4330, 21]-NRT-code) [i]
9Linear OOA(25638, 1092, F256, 4, 20) (dual of [(1092, 4), 4330, 21]-NRT-code) [i]
10Linear OOA(25638, 873, F256, 5, 20) (dual of [(873, 5), 4327, 21]-NRT-code) [i]
11Linear OOA(25638, 728, F256, 6, 20) (dual of [(728, 6), 4330, 21]-NRT-code) [i]
12Linear OOA(25638, 436, F256, 20, 20) (dual of [(436, 20), 8682, 21]-NRT-code) [i]OA Folding and Stacking