Information on Result #611258

Linear OA(2131, 1024, F2, 27) (dual of [1024, 893, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, 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(2142, 1035, F2, 29) (dual of [1035, 893, 30]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2132, 1035, F2, 27) (dual of [1035, 903, 28]-code) [i]
3Linear OA(2156, 1040, F2, 31) (dual of [1040, 884, 32]-code) [i]
4Linear OA(2157, 1050, F2, 31) (dual of [1050, 893, 32]-code) [i]
5Linear OA(2136, 1040, F2, 27) (dual of [1040, 904, 28]-code) [i]
6Linear OA(2137, 1050, F2, 27) (dual of [1050, 913, 28]-code) [i]
7Linear OA(2172, 1057, F2, 33) (dual of [1057, 885, 34]-code) [i]
8Linear OA(2174, 1067, F2, 33) (dual of [1067, 893, 34]-code) [i]
9Linear OA(2142, 1057, F2, 27) (dual of [1057, 915, 28]-code) [i]
10Linear OA(2184, 1072, F2, 35) (dual of [1072, 888, 36]-code) [i]
11Linear OA(2185, 1078, F2, 35) (dual of [1078, 893, 36]-code) [i]
12Linear OA(2173, 1061, F2, 33) (dual of [1061, 888, 34]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
13Linear OA(2172, 1059, F2, 33) (dual of [1059, 887, 34]-code) [i]
14Linear OA(2171, 1057, F2, 33) (dual of [1057, 886, 34]-code) [i]
15Linear OA(2156, 1042, F2, 31) (dual of [1042, 886, 32]-code) [i]
16Linear OA(2163, 1061, F2, 31) (dual of [1061, 898, 32]-code) [i]
17Linear OA(2162, 1059, F2, 31) (dual of [1059, 897, 32]-code) [i]
18Linear OA(2161, 1057, F2, 31) (dual of [1057, 896, 32]-code) [i]
19Linear OA(2146, 1042, F2, 29) (dual of [1042, 896, 30]-code) [i]
20Linear OA(2136, 1042, F2, 27) (dual of [1042, 906, 28]-code) [i]
21Linear OA(2143, 1061, F2, 27) (dual of [1061, 918, 28]-code) [i]
22Linear OA(2142, 1059, F2, 27) (dual of [1059, 917, 28]-code) [i]
23Linear OA(2141, 1057, F2, 27) (dual of [1057, 916, 28]-code) [i]
24Linear OOA(2131, 512, F2, 2, 27) (dual of [(512, 2), 893, 28]-NRT-code) [i]OOA Folding
25Linear OOA(2131, 256, F2, 4, 27) (dual of [(256, 4), 893, 28]-NRT-code) [i]
26Linear OOA(2131, 128, F2, 8, 27) (dual of [(128, 8), 893, 28]-NRT-code) [i]