Information on Result #672515

Linear OA(2225, 65536, F2, 29) (dual of [65536, 65311, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 216−1, 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(2242, 65553, F2, 31) (dual of [65553, 65311, 32]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2226, 65553, F2, 29) (dual of [65553, 65327, 30]-code) [i]✔
3Linear OA(2238, 65597, F2, 29) (dual of [65597, 65359, 30]-code) [i]✔
4Linear OA(2237, 65584, F2, 29) (dual of [65584, 65347, 30]-code) [i]✔
5Linear OOA(2225, 32768, F2, 2, 29) (dual of [(32768, 2), 65311, 30]-NRT-code) [i]OOA Folding
6Linear OOA(2225, 21845, F2, 3, 29) (dual of [(21845, 3), 65310, 30]-NRT-code) [i]
7Linear OOA(2225, 16384, F2, 4, 29) (dual of [(16384, 4), 65311, 30]-NRT-code) [i]
8Linear OOA(2225, 13107, F2, 5, 29) (dual of [(13107, 5), 65310, 30]-NRT-code) [i]
9Linear OOA(2225, 10922, F2, 6, 29) (dual of [(10922, 6), 65307, 30]-NRT-code) [i]
10Linear OOA(2225, 9362, F2, 7, 29) (dual of [(9362, 7), 65309, 30]-NRT-code) [i]
11Linear OOA(2225, 8192, F2, 8, 29) (dual of [(8192, 8), 65311, 30]-NRT-code) [i]
12Linear OOA(2225, 4681, F2, 29, 29) (dual of [(4681, 29), 135524, 30]-NRT-code) [i]OOA Folding and Stacking with Additional Row