Information on Result #619545

Linear OA(12817, 16385, F128, 9) (dual of [16385, 16368, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(12854, 32770, F128, 19) (dual of [32770, 32716, 20]-code) [i](u, u+v)-Construction
2Linear OA(12872, 2113538, F128, 19) (dual of [2113538, 2113466, 20]-code) [i]
3Linear OA(12821, 16514, F128, 9) (dual of [16514, 16493, 10]-code) [i]
4Linear OA(12822, 16535, F128, 9) (dual of [16535, 16513, 10]-code) [i]
5Linear OA(12823, 32641, F128, 9) (dual of [32641, 32618, 10]-code) [i]
6Linear OA(12824, 32769, F128, 9) (dual of [32769, 32745, 10]-code) [i]
7Linear OA(12824, 16643, F128, 9) (dual of [16643, 16619, 10]-code) [i](u, u−v, u+v+w)-Construction
8Linear OA(12821, 16390, F128, 9) (dual of [16390, 16369, 10]-code) [i]✔Construction X with Cyclic Codes
9Linear OA(12822, 16390, F128, 11) (dual of [16390, 16368, 12]-code) [i]✔
10Linear OA(12818, 16390, F128, 9) (dual of [16390, 16372, 10]-code) [i]✔
11Linear OA(12828, 16396, F128, 13) (dual of [16396, 16368, 14]-code) [i]✔
12Linear OA(12820, 16396, F128, 9) (dual of [16396, 16376, 10]-code) [i]✔
13Linear OA(12834, 16402, F128, 15) (dual of [16402, 16368, 16]-code) [i]✔
14Linear OA(12840, 16408, F128, 17) (dual of [16408, 16368, 18]-code) [i]✔
15Linear OOA(12817, 4096, F128, 9, 9) (dual of [(4096, 9), 36847, 10]-NRT-code) [i]OOA Folding and Stacking with Additional Row