Information on Result #616456

Linear OA(16109, 65536, F16, 29) (dual of [65536, 65427, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29

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(16109, 47716, F16, 2, 29) (dual of [(47716, 2), 95323, 30]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (80, 109, 47716)-net over F16 [i]
3Linear OA(16113, 65540, F16, 30) (dual of [65540, 65427, 31]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(16109, 65540, F16, 29) (dual of [65540, 65431, 30]-code) [i]✔
5Linear OA(16118, 65545, F16, 31) (dual of [65545, 65427, 32]-code) [i]✔
6Linear OA(16110, 65545, F16, 29) (dual of [65545, 65435, 30]-code) [i]✔
7Linear OA(16124, 65551, F16, 33) (dual of [65551, 65427, 34]-code) [i]✔
8Linear OA(16111, 65550, F16, 29) (dual of [65550, 65439, 30]-code) [i]✔
9Linear OA(16129, 65553, F16, 34) (dual of [65553, 65424, 35]-code) [i]✔
10Linear OA(16130, 65557, F16, 34) (dual of [65557, 65427, 35]-code) [i]✔
11Linear OA(16112, 65554, F16, 29) (dual of [65554, 65442, 30]-code) [i]✔
12Linear OA(16113, 65556, F16, 29) (dual of [65556, 65443, 30]-code) [i]✔
13Linear OOA(16109, 4681, F16, 29, 29) (dual of [(4681, 29), 135640, 30]-NRT-code) [i]OOA Folding and Stacking with Additional Row