Information on Result #616395

Linear OA(1685, 65536, F16, 23) (dual of [65536, 65451, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23

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(1685, 37910, F16, 2, 23) (dual of [(37910, 2), 75735, 24]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (62, 85, 37910)-net over F16 [i]
3Linear OA(1689, 65540, F16, 24) (dual of [65540, 65451, 25]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(1685, 65540, F16, 23) (dual of [65540, 65455, 24]-code) [i]✔
5Linear OA(1694, 65545, F16, 25) (dual of [65545, 65451, 26]-code) [i]✔
6Linear OA(1686, 65545, F16, 23) (dual of [65545, 65459, 24]-code) [i]✔
7Linear OA(1699, 65550, F16, 26) (dual of [65550, 65451, 27]-code) [i]✔
8Linear OA(1687, 65550, F16, 23) (dual of [65550, 65463, 24]-code) [i]✔
9Linear OA(16104, 65554, F16, 27) (dual of [65554, 65450, 28]-code) [i]✔
10Linear OA(16105, 65556, F16, 27) (dual of [65556, 65451, 28]-code) [i]✔
11Linear OA(1688, 65554, F16, 23) (dual of [65554, 65466, 24]-code) [i]✔
12Linear OA(1689, 65556, F16, 23) (dual of [65556, 65467, 24]-code) [i]✔