Information on Result #610983

Linear OA(271, 16384, F2, 11) (dual of [16384, 16313, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, 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(270, 16383, F2, 10) (dual of [16383, 16313, 11]-code) [i]Truncation
2Linear OA(286, 16399, F2, 13) (dual of [16399, 16313, 14]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(272, 16399, F2, 11) (dual of [16399, 16327, 12]-code) [i]✔
4Linear OA(2105, 16416, F2, 15) (dual of [16416, 16311, 16]-code) [i]✔
5Linear OA(286, 16400, F2, 13) (dual of [16400, 16314, 14]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
6Linear OA(272, 16400, F2, 11) (dual of [16400, 16328, 12]-code) [i]✔
7Linear OOA(271, 8192, F2, 2, 11) (dual of [(8192, 2), 16313, 12]-NRT-code) [i]OOA Folding
8Linear OOA(271, 5461, F2, 3, 11) (dual of [(5461, 3), 16312, 12]-NRT-code) [i]
9Linear OOA(271, 4096, F2, 4, 11) (dual of [(4096, 4), 16313, 12]-NRT-code) [i]
10Linear OOA(271, 3276, F2, 5, 11) (dual of [(3276, 5), 16309, 12]-NRT-code) [i]
11Linear OOA(271, 3276, F2, 6, 11) (dual of [(3276, 6), 19585, 12]-NRT-code) [i]OOA Folding and Stacking with Additional Row
12Linear OOA(271, 3276, F2, 7, 11) (dual of [(3276, 7), 22861, 12]-NRT-code) [i]
13Linear OOA(271, 3276, F2, 8, 11) (dual of [(3276, 8), 26137, 12]-NRT-code) [i]
14Linear OOA(271, 3276, F2, 11, 11) (dual of [(3276, 11), 35965, 12]-NRT-code) [i]