Information on Result #702687

Linear OA(2110, 1023, F2, 22) (dual of [1023, 913, 23]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23

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(2152, 1062, F2, 28) (dual of [1062, 910, 29]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(2126, 1049, F2, 25) (dual of [1049, 923, 26]-code) [i]✔Construction XX with Cyclic Codes
3Linear OA(2123, 1046, F2, 24) (dual of [1046, 923, 25]-code) [i]✔
4Linear OA(2142, 1065, F2, 27) (dual of [1065, 923, 28]-code) [i]✔
5Linear OA(2138, 1061, F2, 26) (dual of [1061, 923, 27]-code) [i]✔
6Linear OA(2136, 1049, F2, 27) (dual of [1049, 913, 28]-code) [i]✔
7Linear OA(2133, 1046, F2, 26) (dual of [1046, 913, 27]-code) [i]✔
8Linear OA(2152, 1065, F2, 29) (dual of [1065, 913, 30]-code) [i]✔
9Linear OA(2148, 1061, F2, 28) (dual of [1061, 913, 29]-code) [i]✔
10Linear OA(2164, 1070, F2, 30) (dual of [1070, 906, 31]-code) [i]✔
11Linear OA(2163, 1076, F2, 30) (dual of [1076, 913, 31]-code) [i]✔
12Linear OOA(2110, 511, F2, 2, 22) (dual of [(511, 2), 912, 23]-NRT-code) [i]OOA Folding
13Linear OOA(2110, 341, F2, 3, 22) (dual of [(341, 3), 913, 23]-NRT-code) [i]
14Linear OOA(2110, 255, F2, 4, 22) (dual of [(255, 4), 910, 23]-NRT-code) [i]
15Linear OOA(2110, 204, F2, 5, 22) (dual of [(204, 5), 910, 23]-NRT-code) [i]
16Linear OOA(2110, 170, F2, 6, 22) (dual of [(170, 6), 910, 23]-NRT-code) [i]
17Linear OOA(2110, 146, F2, 7, 22) (dual of [(146, 7), 912, 23]-NRT-code) [i]
18Linear OOA(2110, 127, F2, 8, 22) (dual of [(127, 8), 906, 23]-NRT-code) [i]