Information on Result #613943

Linear OA(548, 63, F5, 20) (dual of [63, 15, 21]-code), using the narrow-sense BCH-code C(I) with length 63 | 56−1, defining interval I = [1,15], and minimum distance d ≥ |{3,28,53,…,1}| + |{0,22,44,…,−23}∖{−19,3,6,28,31,−10,−7,15,18,−23}| = 21 (general Roos-bound)

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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(559, 74, F5, 31) (dual of [74, 15, 32]-code) [i]Construction X with Cyclic Codes