Information on Result #611310

Linear OA(2181, 4096, F2, 31) (dual of [4096, 3915, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31

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(2180, 4095, F2, 30) (dual of [4095, 3915, 31]-code) [i]Truncation
2Linear OA(2194, 4109, F2, 33) (dual of [4109, 3915, 34]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(2182, 4109, F2, 31) (dual of [4109, 3927, 32]-code) [i]✔
4Linear OA(2211, 4126, F2, 35) (dual of [4126, 3915, 36]-code) [i]✔
5Linear OA(2187, 4126, F2, 31) (dual of [4126, 3939, 32]-code) [i]✔
6Linear OA(2230, 4145, F2, 37) (dual of [4145, 3915, 38]-code) [i]✔
7Linear OA(2194, 4145, F2, 31) (dual of [4145, 3951, 32]-code) [i]✔
8Linear OA(2229, 4141, F2, 37) (dual of [4141, 3912, 38]-code) [i]✔
9Linear OA(2193, 4141, F2, 31) (dual of [4141, 3948, 32]-code) [i]✔
10Linear OA(2229, 4144, F2, 37) (dual of [4144, 3915, 38]-code) [i]✔
11Linear OA(2193, 4144, F2, 31) (dual of [4144, 3951, 32]-code) [i]✔
12Linear OA(2247, 4160, F2, 39) (dual of [4160, 3913, 40]-code) [i]✔
13Linear OOA(2181, 2048, F2, 2, 31) (dual of [(2048, 2), 3915, 32]-NRT-code) [i]OOA Folding
14Linear OOA(2181, 1365, F2, 3, 31) (dual of [(1365, 3), 3914, 32]-NRT-code) [i]
15Linear OOA(2181, 1024, F2, 4, 31) (dual of [(1024, 4), 3915, 32]-NRT-code) [i]
16Linear OOA(2181, 819, F2, 5, 31) (dual of [(819, 5), 3914, 32]-NRT-code) [i]
17Linear OOA(2181, 682, F2, 6, 31) (dual of [(682, 6), 3911, 32]-NRT-code) [i]
18Linear OOA(2181, 585, F2, 7, 31) (dual of [(585, 7), 3914, 32]-NRT-code) [i]
19Linear OOA(2181, 512, F2, 8, 31) (dual of [(512, 8), 3915, 32]-NRT-code) [i]