Information on Result #672752

Linear OA(2157, 8192, F2, 25) (dual of [8192, 8035, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25

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(2171, 8206, F2, 27) (dual of [8206, 8035, 28]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2158, 8206, F2, 25) (dual of [8206, 8048, 26]-code) [i]✔
3Linear OA(2209, 8244, F2, 31) (dual of [8244, 8035, 32]-code) [i]✔
4Linear OA(2208, 8237, F2, 31) (dual of [8237, 8029, 32]-code) [i]✔
5Linear OA(2208, 8240, F2, 31) (dual of [8240, 8032, 32]-code) [i]✔
6Linear OOA(2157, 4096, F2, 2, 25) (dual of [(4096, 2), 8035, 26]-NRT-code) [i]OOA Folding
7Linear OOA(2157, 2048, F2, 4, 25) (dual of [(2048, 4), 8035, 26]-NRT-code) [i]
8Linear OOA(2157, 1638, F2, 5, 25) (dual of [(1638, 5), 8033, 26]-NRT-code) [i]
9Linear OOA(2157, 1365, F2, 6, 25) (dual of [(1365, 6), 8033, 26]-NRT-code) [i]
10Linear OOA(2157, 1170, F2, 7, 25) (dual of [(1170, 7), 8033, 26]-NRT-code) [i]
11Linear OOA(2157, 1024, F2, 8, 25) (dual of [(1024, 8), 8035, 26]-NRT-code) [i]
12Linear OOA(2157, 682, F2, 25, 25) (dual of [(682, 25), 16893, 26]-NRT-code) [i]OOA Folding and Stacking with Additional Row