Information on Result #672838

Linear OA(2169, 4096, F2, 29) (dual of [4096, 3927, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(2182, 4109, F2, 31) (dual of [4109, 3927, 32]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2170, 4109, F2, 29) (dual of [4109, 3939, 30]-code) [i]✔
3Linear OA(2218, 4145, F2, 35) (dual of [4145, 3927, 36]-code) [i]✔
4Linear OA(2182, 4145, F2, 29) (dual of [4145, 3963, 30]-code) [i]✔
5Linear OA(2217, 4141, F2, 35) (dual of [4141, 3924, 36]-code) [i]✔
6Linear OA(2181, 4141, F2, 29) (dual of [4141, 3960, 30]-code) [i]✔
7Linear OA(2217, 4144, F2, 35) (dual of [4144, 3927, 36]-code) [i]✔
8Linear OA(2181, 4144, F2, 29) (dual of [4144, 3963, 30]-code) [i]✔
9Linear OOA(2169, 2048, F2, 2, 29) (dual of [(2048, 2), 3927, 30]-NRT-code) [i]OOA Folding
10Linear OOA(2169, 1365, F2, 3, 29) (dual of [(1365, 3), 3926, 30]-NRT-code) [i]
11Linear OOA(2169, 1024, F2, 4, 29) (dual of [(1024, 4), 3927, 30]-NRT-code) [i]
12Linear OOA(2169, 819, F2, 5, 29) (dual of [(819, 5), 3926, 30]-NRT-code) [i]
13Linear OOA(2169, 682, F2, 6, 29) (dual of [(682, 6), 3923, 30]-NRT-code) [i]
14Linear OOA(2169, 585, F2, 7, 29) (dual of [(585, 7), 3926, 30]-NRT-code) [i]
15Linear OOA(2169, 512, F2, 8, 29) (dual of [(512, 8), 3927, 30]-NRT-code) [i]