Information on Result #616439

Linear OA(16101, 65536, F16, 27) (dual of [65536, 65435, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27

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(16101, 44451, F16, 2, 27) (dual of [(44451, 2), 88801, 28]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (74, 101, 44451)-net over F16 [i]
3Linear OA(16105, 65540, F16, 28) (dual of [65540, 65435, 29]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(16101, 65540, F16, 27) (dual of [65540, 65439, 28]-code) [i]✔
5Linear OA(16110, 65545, F16, 29) (dual of [65545, 65435, 30]-code) [i]✔
6Linear OA(16102, 65545, F16, 27) (dual of [65545, 65443, 28]-code) [i]✔
7Linear OA(16115, 65550, F16, 30) (dual of [65550, 65435, 31]-code) [i]✔
8Linear OA(16103, 65550, F16, 27) (dual of [65550, 65447, 28]-code) [i]✔
9Linear OA(16120, 65554, F16, 31) (dual of [65554, 65434, 32]-code) [i]✔
10Linear OA(16121, 65556, F16, 31) (dual of [65556, 65435, 32]-code) [i]✔
11Linear OA(16104, 65554, F16, 27) (dual of [65554, 65450, 28]-code) [i]✔
12Linear OA(16105, 65556, F16, 27) (dual of [65556, 65451, 28]-code) [i]✔
13Linear OA(16127, 65560, F16, 33) (dual of [65560, 65433, 34]-code) [i]✔
14Linear OA(16128, 65563, F16, 33) (dual of [65563, 65435, 34]-code) [i]✔
15Linear OA(16127, 65561, F16, 33) (dual of [65561, 65434, 34]-code) [i]✔
16Linear OOA(16101, 5041, F16, 27, 27) (dual of [(5041, 27), 136006, 28]-NRT-code) [i]OOA Folding and Stacking with Additional Row