Information on Result #672587

Linear OA(2211, 32768, F2, 29) (dual of [32768, 32557, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, 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(2227, 32784, F2, 31) (dual of [32784, 32557, 32]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2212, 32784, F2, 29) (dual of [32784, 32572, 30]-code) [i]✔
3Linear OA(2224, 32826, F2, 29) (dual of [32826, 32602, 30]-code) [i]✔
4Linear OA(2223, 32813, F2, 29) (dual of [32813, 32590, 30]-code) [i]✔
5Linear OA(2223, 32816, F2, 29) (dual of [32816, 32593, 30]-code) [i]✔
6Linear OOA(2211, 16384, F2, 2, 29) (dual of [(16384, 2), 32557, 30]-NRT-code) [i]OOA Folding
7Linear OOA(2211, 8192, F2, 4, 29) (dual of [(8192, 4), 32557, 30]-NRT-code) [i]
8Linear OOA(2211, 6553, F2, 5, 29) (dual of [(6553, 5), 32554, 30]-NRT-code) [i]
9Linear OOA(2211, 5461, F2, 6, 29) (dual of [(5461, 6), 32555, 30]-NRT-code) [i]
10Linear OOA(2211, 4681, F2, 7, 29) (dual of [(4681, 7), 32556, 30]-NRT-code) [i]
11Linear OOA(2211, 4096, F2, 8, 29) (dual of [(4096, 8), 32557, 30]-NRT-code) [i]
12Linear OOA(2211, 2340, F2, 29, 29) (dual of [(2340, 29), 67649, 30]-NRT-code) [i]OOA Folding and Stacking with Additional Row