Information on Result #672528

Linear OA(297, 65536, F2, 13) (dual of [65536, 65439, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 65535 = 216−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13

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(2114, 65553, F2, 15) (dual of [65553, 65439, 16]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(298, 65553, F2, 13) (dual of [65553, 65455, 14]-code) [i]✔
3Linear OA(2114, 65554, F2, 15) (dual of [65554, 65440, 16]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
4Linear OA(298, 65554, F2, 13) (dual of [65554, 65456, 14]-code) [i]✔
5Linear OOA(297, 32768, F2, 2, 13) (dual of [(32768, 2), 65439, 14]-NRT-code) [i]OOA Folding
6Linear OOA(297, 21845, F2, 3, 13) (dual of [(21845, 3), 65438, 14]-NRT-code) [i]
7Linear OOA(297, 16384, F2, 4, 13) (dual of [(16384, 4), 65439, 14]-NRT-code) [i]
8Linear OOA(297, 13107, F2, 5, 13) (dual of [(13107, 5), 65438, 14]-NRT-code) [i]
9Linear OOA(297, 10922, F2, 6, 13) (dual of [(10922, 6), 65435, 14]-NRT-code) [i]
10Linear OOA(297, 10922, F2, 7, 13) (dual of [(10922, 7), 76357, 14]-NRT-code) [i]OOA Folding and Stacking with Additional Row
11Linear OOA(297, 10922, F2, 8, 13) (dual of [(10922, 8), 87279, 14]-NRT-code) [i]
12Linear OOA(297, 10922, F2, 13, 13) (dual of [(10922, 13), 141889, 14]-NRT-code) [i]