Information on Result #672521

Linear OA(2161, 65536, F2, 21) (dual of [65536, 65375, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 216−1, 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(2178, 65553, F2, 23) (dual of [65553, 65375, 24]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2162, 65553, F2, 21) (dual of [65553, 65391, 22]-code) [i]✔
3Linear OA(2221, 65581, F2, 27) (dual of [65581, 65360, 28]-code) [i]✔
4Linear OA(2221, 65584, F2, 27) (dual of [65584, 65363, 28]-code) [i]✔
5Linear OOA(2161, 32768, F2, 2, 21) (dual of [(32768, 2), 65375, 22]-NRT-code) [i]OOA Folding
6Linear OOA(2161, 21845, F2, 3, 21) (dual of [(21845, 3), 65374, 22]-NRT-code) [i]
7Linear OOA(2161, 16384, F2, 4, 21) (dual of [(16384, 4), 65375, 22]-NRT-code) [i]
8Linear OOA(2161, 13107, F2, 5, 21) (dual of [(13107, 5), 65374, 22]-NRT-code) [i]
9Linear OOA(2161, 10922, F2, 6, 21) (dual of [(10922, 6), 65371, 22]-NRT-code) [i]
10Linear OOA(2161, 9362, F2, 7, 21) (dual of [(9362, 7), 65373, 22]-NRT-code) [i]
11Linear OOA(2161, 8192, F2, 8, 21) (dual of [(8192, 8), 65375, 22]-NRT-code) [i]
12Linear OOA(2161, 6553, F2, 21, 21) (dual of [(6553, 21), 137452, 22]-NRT-code) [i]OOA Folding and Stacking with Additional Row