Information on Result #611358

Linear OA(2205, 4096, F2, 35) (dual of [4096, 3891, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35

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(2204, 4095, F2, 34) (dual of [4095, 3891, 35]-code) [i]Truncation
2Linear OA(2218, 4109, F2, 37) (dual of [4109, 3891, 38]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(2206, 4109, F2, 35) (dual of [4109, 3903, 36]-code) [i]✔
4Linear OA(2235, 4126, F2, 39) (dual of [4126, 3891, 40]-code) [i]✔
5Linear OA(2211, 4126, F2, 35) (dual of [4126, 3915, 36]-code) [i]✔
6Linear OA(2254, 4145, F2, 41) (dual of [4145, 3891, 42]-code) [i]✔
7Linear OA(2218, 4145, F2, 35) (dual of [4145, 3927, 36]-code) [i]✔
8Linear OA(2253, 4141, F2, 41) (dual of [4141, 3888, 42]-code) [i]✔
9Linear OA(2217, 4141, F2, 35) (dual of [4141, 3924, 36]-code) [i]✔
10Linear OA(2253, 4144, F2, 41) (dual of [4144, 3891, 42]-code) [i]✔
11Linear OA(2217, 4144, F2, 35) (dual of [4144, 3927, 36]-code) [i]✔
12Linear OOA(2205, 2048, F2, 2, 35) (dual of [(2048, 2), 3891, 36]-NRT-code) [i]OOA Folding
13Linear OOA(2205, 1365, F2, 3, 35) (dual of [(1365, 3), 3890, 36]-NRT-code) [i]
14Linear OOA(2205, 1024, F2, 4, 35) (dual of [(1024, 4), 3891, 36]-NRT-code) [i]
15Linear OOA(2205, 819, F2, 5, 35) (dual of [(819, 5), 3890, 36]-NRT-code) [i]
16Linear OOA(2205, 682, F2, 6, 35) (dual of [(682, 6), 3887, 36]-NRT-code) [i]
17Linear OOA(2205, 585, F2, 7, 35) (dual of [(585, 7), 3890, 36]-NRT-code) [i]
18Linear OOA(2205, 512, F2, 8, 35) (dual of [(512, 8), 3891, 36]-NRT-code) [i]