Information on Result #611260

Linear OA(2157, 4096, F2, 27) (dual of [4096, 3939, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, 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(2156, 4095, F2, 26) (dual of [4095, 3939, 27]-code) [i]Truncation
2Linear OA(2170, 4109, F2, 29) (dual of [4109, 3939, 30]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(2158, 4109, F2, 27) (dual of [4109, 3951, 28]-code) [i]✔
4Linear OA(2187, 4126, F2, 31) (dual of [4126, 3939, 32]-code) [i]✔
5Linear OA(2163, 4126, F2, 27) (dual of [4126, 3963, 28]-code) [i]✔
6Linear OA(2206, 4145, F2, 33) (dual of [4145, 3939, 34]-code) [i]✔
7Linear OA(2205, 4141, F2, 33) (dual of [4141, 3936, 34]-code) [i]✔
8Linear OA(2169, 4141, F2, 27) (dual of [4141, 3972, 28]-code) [i]✔
9Linear OA(2205, 4144, F2, 33) (dual of [4144, 3939, 34]-code) [i]✔
10Linear OA(2169, 4144, F2, 27) (dual of [4144, 3975, 28]-code) [i]✔
11Linear OOA(2157, 2048, F2, 2, 27) (dual of [(2048, 2), 3939, 28]-NRT-code) [i]OOA Folding
12Linear OOA(2157, 1365, F2, 3, 27) (dual of [(1365, 3), 3938, 28]-NRT-code) [i]
13Linear OOA(2157, 1024, F2, 4, 27) (dual of [(1024, 4), 3939, 28]-NRT-code) [i]
14Linear OOA(2157, 819, F2, 5, 27) (dual of [(819, 5), 3938, 28]-NRT-code) [i]
15Linear OOA(2157, 682, F2, 6, 27) (dual of [(682, 6), 3935, 28]-NRT-code) [i]
16Linear OOA(2157, 585, F2, 7, 27) (dual of [(585, 7), 3938, 28]-NRT-code) [i]
17Linear OOA(2157, 512, F2, 8, 27) (dual of [(512, 8), 3939, 28]-NRT-code) [i]