Information on Result #702683

Linear OA(2130, 1023, F2, 26) (dual of [1023, 893, 27]-code), using 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, 1062, F2, 26) (dual of [1062, 920, 27]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(2172, 1062, F2, 32) (dual of [1062, 890, 33]-code) [i]✔
3Linear OA(2163, 1076, F2, 30) (dual of [1076, 913, 31]-code) [i]✔Construction XX with Cyclic Codes
4Linear OA(2146, 1049, F2, 29) (dual of [1049, 903, 30]-code) [i]✔
5Linear OA(2143, 1046, F2, 28) (dual of [1046, 903, 29]-code) [i]✔
6Linear OA(2162, 1065, F2, 31) (dual of [1065, 903, 32]-code) [i]✔
7Linear OA(2158, 1061, F2, 30) (dual of [1061, 903, 31]-code) [i]✔
8Linear OA(2174, 1070, F2, 32) (dual of [1070, 896, 33]-code) [i]✔
9Linear OA(2156, 1049, F2, 31) (dual of [1049, 893, 32]-code) [i]✔
10Linear OA(2153, 1046, F2, 30) (dual of [1046, 893, 31]-code) [i]✔
11Linear OA(2172, 1065, F2, 33) (dual of [1065, 893, 34]-code) [i]✔
12Linear OA(2168, 1061, F2, 32) (dual of [1061, 893, 33]-code) [i]✔
13Linear OA(2183, 1076, F2, 34) (dual of [1076, 893, 35]-code) [i]✔
14Linear OOA(2130, 511, F2, 2, 26) (dual of [(511, 2), 892, 27]-NRT-code) [i]OOA Folding
15Linear OOA(2130, 341, F2, 3, 26) (dual of [(341, 3), 893, 27]-NRT-code) [i]
16Linear OOA(2130, 255, F2, 4, 26) (dual of [(255, 4), 890, 27]-NRT-code) [i]
17Linear OOA(2130, 204, F2, 5, 26) (dual of [(204, 5), 890, 27]-NRT-code) [i]
18Linear OOA(2130, 170, F2, 6, 26) (dual of [(170, 6), 890, 27]-NRT-code) [i]
19Linear OOA(2130, 146, F2, 7, 26) (dual of [(146, 7), 892, 27]-NRT-code) [i]