Information on Result #611156

Linear OA(2131, 8193, F2, 21) (dual of [8193, 8062, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 8193 | 226−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(2130, 8192, F2, 20) (dual of [8192, 8062, 21]-code) [i]Truncation
2Linear OA(2141, 8204, F2, 21) (dual of [8204, 8063, 22]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(2160, 8197, F2, 25) (dual of [8197, 8037, 26]-code) [i]✔
4Linear OA(2161, 8201, F2, 25) (dual of [8201, 8040, 26]-code) [i]✔
5Linear OA(2162, 8209, F2, 25) (dual of [8209, 8047, 26]-code) [i]✔
6Linear OA(2163, 8225, F2, 25) (dual of [8225, 8062, 26]-code) [i]✔
7Linear OA(2134, 8197, F2, 21) (dual of [8197, 8063, 22]-code) [i]✔
8Linear OA(2135, 8201, F2, 21) (dual of [8201, 8066, 22]-code) [i]✔
9Linear OA(2136, 8209, F2, 21) (dual of [8209, 8073, 22]-code) [i]✔
10Linear OA(2137, 8225, F2, 21) (dual of [8225, 8088, 22]-code) [i]✔
11Linear OOA(2131, 2731, F2, 3, 21) (dual of [(2731, 3), 8062, 22]-NRT-code) [i]OOA Folding