Information on Result #611264

Linear OA(2209, 65536, F2, 27) (dual of [65536, 65327, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 65535 = 216−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27

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(2208, 65535, F2, 26) (dual of [65535, 65327, 27]-code) [i]Truncation
2Linear OA(2226, 65553, F2, 29) (dual of [65553, 65327, 30]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(2210, 65553, F2, 27) (dual of [65553, 65343, 28]-code) [i]✔
4Linear OA(2247, 65568, F2, 31) (dual of [65568, 65321, 32]-code) [i]✔
5Linear OA(2248, 65575, F2, 31) (dual of [65575, 65327, 32]-code) [i]✔
6Linear OA(2215, 65568, F2, 27) (dual of [65568, 65353, 28]-code) [i]✔
7Linear OA(2216, 65575, F2, 27) (dual of [65575, 65359, 28]-code) [i]✔
8Linear OA(2221, 65581, F2, 27) (dual of [65581, 65360, 28]-code) [i]✔
9Linear OA(2221, 65584, F2, 27) (dual of [65584, 65363, 28]-code) [i]✔
10Linear OOA(2209, 32768, F2, 2, 27) (dual of [(32768, 2), 65327, 28]-NRT-code) [i]OOA Folding
11Linear OOA(2209, 21845, F2, 3, 27) (dual of [(21845, 3), 65326, 28]-NRT-code) [i]
12Linear OOA(2209, 16384, F2, 4, 27) (dual of [(16384, 4), 65327, 28]-NRT-code) [i]
13Linear OOA(2209, 13107, F2, 5, 27) (dual of [(13107, 5), 65326, 28]-NRT-code) [i]
14Linear OOA(2209, 10922, F2, 6, 27) (dual of [(10922, 6), 65323, 28]-NRT-code) [i]
15Linear OOA(2209, 9362, F2, 7, 27) (dual of [(9362, 7), 65325, 28]-NRT-code) [i]
16Linear OOA(2209, 8192, F2, 8, 27) (dual of [(8192, 8), 65327, 28]-NRT-code) [i]
17Linear OOA(2209, 5041, F2, 27, 27) (dual of [(5041, 27), 135898, 28]-NRT-code) [i]OOA Folding and Stacking with Additional Row