Information on Result #619690

Linear OA(12861, 16385, F128, 31) (dual of [16385, 16324, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound)

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(12876, 16514, F128, 31) (dual of [16514, 16438, 32]-code) [i](u, u+v)-Construction
2Linear OA(12877, 16535, F128, 31) (dual of [16535, 16458, 32]-code) [i]
3Linear OA(12878, 16537, F128, 31) (dual of [16537, 16459, 32]-code) [i]
4Linear OA(12875, 16400, F128, 31) (dual of [16400, 16325, 32]-code) [i]✔Construction X with Cyclic Codes
5Linear OA(12866, 16390, F128, 33) (dual of [16390, 16324, 34]-code) [i]✔
6Linear OA(12862, 16390, F128, 31) (dual of [16390, 16328, 32]-code) [i]✔
7Linear OA(12872, 16396, F128, 35) (dual of [16396, 16324, 36]-code) [i]✔
8Linear OA(12864, 16396, F128, 31) (dual of [16396, 16332, 32]-code) [i]✔
9Linear OA(12878, 16402, F128, 37) (dual of [16402, 16324, 38]-code) [i]✔
10Linear OA(12866, 16402, F128, 31) (dual of [16402, 16336, 32]-code) [i]✔
11Linear OA(12868, 16408, F128, 31) (dual of [16408, 16340, 32]-code) [i]✔
12Linear OA(12870, 16414, F128, 31) (dual of [16414, 16344, 32]-code) [i]✔
13Linear OA(12872, 16420, F128, 31) (dual of [16420, 16348, 32]-code) [i]✔
14Linear OA(12874, 16426, F128, 31) (dual of [16426, 16352, 32]-code) [i]✔