Information on Result #616461

Linear OA(16113, 65536, F16, 30) (dual of [65536, 65423, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30

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 OOA(16113, 49347, F16, 2, 30) (dual of [(49347, 2), 98581, 31]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (83, 113, 49347)-net over F16 [i]
3Linear OA(16117, 65540, F16, 31) (dual of [65540, 65423, 32]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(16113, 65540, F16, 30) (dual of [65540, 65427, 31]-code) [i]✔
5Linear OA(16123, 65546, F16, 33) (dual of [65546, 65423, 34]-code) [i]✔
6Linear OA(16114, 65545, F16, 30) (dual of [65545, 65431, 31]-code) [i]✔
7Linear OA(16128, 65551, F16, 34) (dual of [65551, 65423, 35]-code) [i]✔
8Linear OA(16115, 65550, F16, 30) (dual of [65550, 65435, 31]-code) [i]✔
9Linear OA(16116, 65554, F16, 30) (dual of [65554, 65438, 31]-code) [i]✔
10Linear OA(16117, 65556, F16, 30) (dual of [65556, 65439, 31]-code) [i]✔
11Linear OOA(16113, 4369, F16, 30, 30) (dual of [(4369, 30), 130957, 31]-NRT-code) [i]OA Folding and Stacking