Information on Result #611057

Linear OA(2113, 65536, F2, 15) (dual of [65536, 65423, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 216−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15

Mode: Constructive and linear.

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(2112, 65535, F2, 14) (dual of [65535, 65423, 15]-code) [i]Truncation
2Linear OA(2130, 65553, F2, 17) (dual of [65553, 65423, 18]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(2114, 65553, F2, 15) (dual of [65553, 65439, 16]-code) [i]✔
4Linear OA(2151, 65568, F2, 19) (dual of [65568, 65417, 20]-code) [i]✔
5Linear OA(2152, 65575, F2, 19) (dual of [65575, 65423, 20]-code) [i]✔
6Linear OA(2119, 65568, F2, 15) (dual of [65568, 65449, 16]-code) [i]✔
7Linear OA(2130, 65554, F2, 17) (dual of [65554, 65424, 18]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
8Linear OA(2114, 65554, F2, 15) (dual of [65554, 65440, 16]-code) [i]✔
9Linear OOA(2113, 32768, F2, 2, 15) (dual of [(32768, 2), 65423, 16]-NRT-code) [i]OOA Folding
10Linear OOA(2113, 21845, F2, 3, 15) (dual of [(21845, 3), 65422, 16]-NRT-code) [i]
11Linear OOA(2113, 16384, F2, 4, 15) (dual of [(16384, 4), 65423, 16]-NRT-code) [i]
12Linear OOA(2113, 13107, F2, 5, 15) (dual of [(13107, 5), 65422, 16]-NRT-code) [i]
13Linear OOA(2113, 10922, F2, 6, 15) (dual of [(10922, 6), 65419, 16]-NRT-code) [i]
14Linear OOA(2113, 9362, F2, 7, 15) (dual of [(9362, 7), 65421, 16]-NRT-code) [i]
15Linear OOA(2113, 9362, F2, 8, 15) (dual of [(9362, 8), 74783, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row
16Linear OOA(2113, 9362, F2, 15, 15) (dual of [(9362, 15), 140317, 16]-NRT-code) [i]