Information on Result #611235

Linear OA(2193, 65537, F2, 25) (dual of [65537, 65344, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 232−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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(2192, 65536, F2, 24) (dual of [65536, 65344, 25]-code) [i]Truncation
2Linear OA(2205, 65550, F2, 25) (dual of [65550, 65345, 26]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(2228, 65541, F2, 29) (dual of [65541, 65313, 30]-code) [i]✔
4Linear OA(2229, 65545, F2, 29) (dual of [65545, 65316, 30]-code) [i]✔
5Linear OA(2230, 65553, F2, 29) (dual of [65553, 65323, 30]-code) [i]✔
6Linear OA(2231, 65569, F2, 29) (dual of [65569, 65338, 30]-code) [i]✔
7Linear OA(2232, 65576, F2, 29) (dual of [65576, 65344, 30]-code) [i]✔
8Linear OA(2196, 65541, F2, 25) (dual of [65541, 65345, 26]-code) [i]✔
9Linear OA(2197, 65545, F2, 25) (dual of [65545, 65348, 26]-code) [i]✔
10Linear OA(2198, 65553, F2, 25) (dual of [65553, 65355, 26]-code) [i]✔
11Linear OA(2199, 65569, F2, 25) (dual of [65569, 65370, 26]-code) [i]✔
12Linear OA(2200, 65576, F2, 25) (dual of [65576, 65376, 26]-code) [i]✔