Information on Result #612585

Linear OA(433, 65536, F4, 6) (dual of [65536, 65503, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6

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(436, 65542, F4, 6) (dual of [65542, 65506, 7]-code) [i](u, u+v)-Construction
2Linear OOA(433, 48349, F4, 2, 6) (dual of [(48349, 2), 96665, 7]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(433, 48349, F4, 3, 6) (dual of [(48349, 3), 145014, 7]-NRT-code) [i]
4Digital (27, 33, 48349)-net over F4 [i]
5Linear OA(441, 65544, F4, 7) (dual of [65544, 65503, 8]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
6Linear OA(433, 65544, F4, 6) (dual of [65544, 65511, 7]-code) [i]✔
7Linear OA(450, 65553, F4, 8) (dual of [65553, 65503, 9]-code) [i]✔
8Linear OA(452, 65555, F4, 9) (dual of [65555, 65503, 10]-code) [i]✔
9Linear OA(436, 65555, F4, 6) (dual of [65555, 65519, 7]-code) [i]✔
10Linear OA(462, 65565, F4, 10) (dual of [65565, 65503, 11]-code) [i]✔
11Linear OA(472, 65575, F4, 11) (dual of [65575, 65503, 12]-code) [i]✔
12Linear OA(471, 65567, F4, 11) (dual of [65567, 65496, 12]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
13Linear OA(461, 65557, F4, 10) (dual of [65557, 65496, 11]-code) [i]✔
14Linear OA(463, 65567, F4, 10) (dual of [65567, 65504, 11]-code) [i]✔
15Linear OA(453, 65557, F4, 9) (dual of [65557, 65504, 10]-code) [i]✔
16Linear OA(442, 65546, F4, 7) (dual of [65546, 65504, 8]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
17Linear OA(434, 65546, F4, 6) (dual of [65546, 65512, 7]-code) [i]✔
18Linear OA(450, 65554, F4, 8) (dual of [65554, 65504, 9]-code) [i]✔