Information on Result #619911

Linear OA(233, 51, F2, 13) (dual of [51, 18, 14]-code), using the BCH-code C(I) with length 51 | 28−1, defining interval I = {−4,−3,…,8}, and designed minimum distance d ≥ |I|+1 = 14

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(232, 50, F2, 12) (dual of [50, 18, 13]-code) [i]Truncation
2Linear OA(2177, 200, F2, 61) (dual of [200, 23, 62]-code) [i]Construction XX with a Chain of De Boer–Brouwer Codes
3Linear OA(2169, 192, F2, 60) (dual of [192, 23, 61]-code) [i]
4Linear OOA(233, 25, F2, 2, 13) (dual of [(25, 2), 17, 14]-NRT-code) [i]OOA Folding
5Linear OOA(233, 17, F2, 3, 13) (dual of [(17, 3), 18, 14]-NRT-code) [i]