Information on Result #611098

Linear OA(2129, 65537, F2, 17) (dual of [65537, 65408, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 232−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(2128, 65536, F2, 16) (dual of [65536, 65408, 17]-code) [i]Truncation
2Linear OA(2137, 65546, F2, 17) (dual of [65546, 65409, 18]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(2164, 65541, F2, 21) (dual of [65541, 65377, 22]-code) [i]✔
4Linear OA(2165, 65545, F2, 21) (dual of [65545, 65380, 22]-code) [i]✔
5Linear OA(2166, 65553, F2, 21) (dual of [65553, 65387, 22]-code) [i]✔
6Linear OA(2167, 65569, F2, 21) (dual of [65569, 65402, 22]-code) [i]✔
7Linear OA(2168, 65576, F2, 21) (dual of [65576, 65408, 22]-code) [i]✔
8Linear OA(2132, 65541, F2, 17) (dual of [65541, 65409, 18]-code) [i]✔
9Linear OA(2133, 65545, F2, 17) (dual of [65545, 65412, 18]-code) [i]✔
10Linear OA(2134, 65553, F2, 17) (dual of [65553, 65419, 18]-code) [i]✔
11Linear OA(2135, 65569, F2, 17) (dual of [65569, 65434, 18]-code) [i]✔
12Linear OA(2136, 65576, F2, 17) (dual of [65576, 65440, 18]-code) [i]✔
13Linear OOA(2129, 8192, F2, 17, 17) (dual of [(8192, 17), 139135, 18]-NRT-code) [i]OOA Folding and Stacking with Additional Row