Information on Result #610877

Linear OA(232, 65537, F2, 4) (dual of [65537, 65505, 5]-code), using the narrow-sense BCH-code C(I) with length 65537 | 232−1, defining interval I = [1,2], and minimum distance d ≥ |{−4,−2}| + |{0,3,6}| = 5 (simple 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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(233, 65538, F2, 5) (dual of [65538, 65505, 6]-code) [i]Construction X with Cyclic Codes
2Linear OOA(232, 32768, F2, 2, 4) (dual of [(32768, 2), 65504, 5]-NRT-code) [i]OOA Folding