Information on Result #611437

Linear OA(2236, 1024, F2, 49) (dual of [1024, 788, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49

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(2260, 1049, F2, 49) (dual of [1049, 789, 50]-code) [i](u, u+v)-Construction
2Linear OA(2247, 1035, F2, 51) (dual of [1035, 788, 52]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(2237, 1035, F2, 49) (dual of [1035, 798, 50]-code) [i]✔
4Linear OA(2260, 1039, F2, 52) (dual of [1039, 779, 53]-code) [i]✔
5Linear OA(2241, 1040, F2, 49) (dual of [1040, 799, 50]-code) [i]✔
6Linear OA(2242, 1050, F2, 49) (dual of [1050, 808, 50]-code) [i]✔
7Linear OA(2247, 1057, F2, 49) (dual of [1057, 810, 50]-code) [i]✔
8Linear OA(2249, 1067, F2, 49) (dual of [1067, 818, 50]-code) [i]✔
9Linear OA(2255, 1083, F2, 49) (dual of [1083, 828, 50]-code) [i]✔
10Linear OA(2260, 1041, F2, 52) (dual of [1041, 781, 53]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
11Linear OA(2251, 1042, F2, 51) (dual of [1042, 791, 52]-code) [i]✔
12Linear OA(2241, 1042, F2, 49) (dual of [1042, 801, 50]-code) [i]✔
13Linear OA(2248, 1061, F2, 49) (dual of [1061, 813, 50]-code) [i]✔
14Linear OA(2247, 1059, F2, 49) (dual of [1059, 812, 50]-code) [i]✔
15Linear OA(2246, 1057, F2, 49) (dual of [1057, 811, 50]-code) [i]✔
16Linear OOA(2236, 512, F2, 2, 49) (dual of [(512, 2), 788, 50]-NRT-code) [i]OOA Folding
17Linear OOA(2236, 256, F2, 4, 49) (dual of [(256, 4), 788, 50]-NRT-code) [i]