Information on Result #611429

Linear OA(2150, 171, F2, 40) (dual of [171, 21, 41]-code), using the narrow-sense BCH-code C(I) with length 171 | 218−1, defining interval I = [1,24], and minimum distance d ≥ |{7,65,123,…,13}| + |{0,65,130,…,−30}∖{48,−10,−68,45,−78,−13}| = 41 (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(2159, 180, F2, 49) (dual of [180, 21, 50]-code) [i]Construction X with Cyclic Codes