Information on Result #610872

Linear OA(231, 32769, F2, 5) (dual of [32769, 32738, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 230−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-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(230, 32768, F2, 4) (dual of [32768, 32738, 5]-code) [i]Truncation
2Linear OA(233, 32772, F2, 5) (dual of [32772, 32739, 6]-code) [i]Construction X with Cyclic Codes
3Linear OA(264, 32773, F2, 9) (dual of [32773, 32709, 10]-code) [i]