Information on Result #672593

Linear OA(2151, 32768, F2, 21) (dual of [32768, 32617, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21

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(2167, 32784, F2, 23) (dual of [32784, 32617, 24]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2152, 32784, F2, 21) (dual of [32784, 32632, 22]-code) [i]✔
3Linear OA(2208, 32813, F2, 27) (dual of [32813, 32605, 28]-code) [i]✔
4Linear OA(2208, 32816, F2, 27) (dual of [32816, 32608, 28]-code) [i]✔
5Linear OOA(2151, 16384, F2, 2, 21) (dual of [(16384, 2), 32617, 22]-NRT-code) [i]OOA Folding
6Linear OOA(2151, 8192, F2, 4, 21) (dual of [(8192, 4), 32617, 22]-NRT-code) [i]
7Linear OOA(2151, 6553, F2, 5, 21) (dual of [(6553, 5), 32614, 22]-NRT-code) [i]
8Linear OOA(2151, 5461, F2, 6, 21) (dual of [(5461, 6), 32615, 22]-NRT-code) [i]
9Linear OOA(2151, 4681, F2, 7, 21) (dual of [(4681, 7), 32616, 22]-NRT-code) [i]
10Linear OOA(2151, 4096, F2, 8, 21) (dual of [(4096, 8), 32617, 22]-NRT-code) [i]
11Linear OOA(2151, 3276, F2, 21, 21) (dual of [(3276, 21), 68645, 22]-NRT-code) [i]OOA Folding and Stacking with Additional Row