Information on Result #610985

Linear OA(281, 65536, F2, 11) (dual of [65536, 65455, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 65535 = 216−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11

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(280, 65535, F2, 10) (dual of [65535, 65455, 11]-code) [i]Truncation
2Linear OA(298, 65553, F2, 13) (dual of [65553, 65455, 14]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(282, 65553, F2, 11) (dual of [65553, 65471, 12]-code) [i]✔
4Linear OA(2119, 65568, F2, 15) (dual of [65568, 65449, 16]-code) [i]✔
5Linear OA(298, 65554, F2, 13) (dual of [65554, 65456, 14]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
6Linear OA(282, 65554, F2, 11) (dual of [65554, 65472, 12]-code) [i]✔
7Linear OOA(281, 32768, F2, 2, 11) (dual of [(32768, 2), 65455, 12]-NRT-code) [i]OOA Folding
8Linear OOA(281, 21845, F2, 3, 11) (dual of [(21845, 3), 65454, 12]-NRT-code) [i]
9Linear OOA(281, 16384, F2, 4, 11) (dual of [(16384, 4), 65455, 12]-NRT-code) [i]
10Linear OOA(281, 13107, F2, 5, 11) (dual of [(13107, 5), 65454, 12]-NRT-code) [i]
11Linear OOA(281, 13107, F2, 6, 11) (dual of [(13107, 6), 78561, 12]-NRT-code) [i]OOA Folding and Stacking with Additional Row
12Linear OOA(281, 13107, F2, 7, 11) (dual of [(13107, 7), 91668, 12]-NRT-code) [i]
13Linear OOA(281, 13107, F2, 8, 11) (dual of [(13107, 8), 104775, 12]-NRT-code) [i]
14Linear OOA(281, 13107, F2, 11, 11) (dual of [(13107, 11), 144096, 12]-NRT-code) [i]