Information on Result #611261

Linear OA(2170, 8192, F2, 27) (dual of [8192, 8022, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, 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(2169, 8191, F2, 26) (dual of [8191, 8022, 27]-code) [i]Truncation
2Linear OA(2184, 8206, F2, 29) (dual of [8206, 8022, 30]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(2171, 8206, F2, 27) (dual of [8206, 8035, 28]-code) [i]✔
4Linear OA(2202, 8224, F2, 31) (dual of [8224, 8022, 32]-code) [i]✔
5Linear OA(2176, 8224, F2, 27) (dual of [8224, 8048, 28]-code) [i]✔
6Linear OA(2222, 8244, F2, 33) (dual of [8244, 8022, 34]-code) [i]✔
7Linear OA(2221, 8237, F2, 33) (dual of [8237, 8016, 34]-code) [i]✔
8Linear OA(2182, 8237, F2, 27) (dual of [8237, 8055, 28]-code) [i]✔
9Linear OA(2221, 8240, F2, 33) (dual of [8240, 8019, 34]-code) [i]✔
10Linear OA(2182, 8240, F2, 27) (dual of [8240, 8058, 28]-code) [i]✔
11Linear OOA(2170, 4096, F2, 2, 27) (dual of [(4096, 2), 8022, 28]-NRT-code) [i]OOA Folding
12Linear OOA(2170, 2730, F2, 3, 27) (dual of [(2730, 3), 8020, 28]-NRT-code) [i]
13Linear OOA(2170, 2048, F2, 4, 27) (dual of [(2048, 4), 8022, 28]-NRT-code) [i]
14Linear OOA(2170, 1638, F2, 5, 27) (dual of [(1638, 5), 8020, 28]-NRT-code) [i]
15Linear OOA(2170, 1365, F2, 6, 27) (dual of [(1365, 6), 8020, 28]-NRT-code) [i]
16Linear OOA(2170, 1170, F2, 7, 27) (dual of [(1170, 7), 8020, 28]-NRT-code) [i]
17Linear OOA(2170, 1024, F2, 8, 27) (dual of [(1024, 8), 8022, 28]-NRT-code) [i]
18Linear OOA(2170, 630, F2, 27, 27) (dual of [(630, 27), 16840, 28]-NRT-code) [i]OOA Folding and Stacking with Additional Row