Information on Result #611171

Linear OA(2181, 262145, F2, 21) (dual of [262145, 261964, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 236−1, 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(2180, 262144, F2, 20) (dual of [262144, 261964, 21]-code) [i]Truncation
2Linear OA(2191, 262156, F2, 21) (dual of [262156, 261965, 22]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(2220, 262149, F2, 25) (dual of [262149, 261929, 26]-code) [i]✔
4Linear OA(2221, 262153, F2, 25) (dual of [262153, 261932, 26]-code) [i]✔
5Linear OA(2222, 262161, F2, 25) (dual of [262161, 261939, 26]-code) [i]✔
6Linear OA(2223, 262177, F2, 25) (dual of [262177, 261954, 26]-code) [i]✔
7Linear OA(2224, 262188, F2, 25) (dual of [262188, 261964, 26]-code) [i]✔
8Linear OA(2184, 262149, F2, 21) (dual of [262149, 261965, 22]-code) [i]✔
9Linear OA(2185, 262153, F2, 21) (dual of [262153, 261968, 22]-code) [i]✔
10Linear OA(2186, 262161, F2, 21) (dual of [262161, 261975, 22]-code) [i]✔
11Linear OA(2187, 262177, F2, 21) (dual of [262177, 261990, 22]-code) [i]✔
12Linear OA(2188, 262188, F2, 21) (dual of [262188, 262000, 22]-code) [i]✔
13Linear OOA(2181, 52429, F2, 5, 21) (dual of [(52429, 5), 261964, 22]-NRT-code) [i]OOA Folding