Information on Result #611168

Linear OA(2171, 131073, F2, 21) (dual of [131073, 130902, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 131073 | 234−1, 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(2170, 131072, F2, 20) (dual of [131072, 130902, 21]-code) [i]Truncation
2Linear OA(2181, 131084, F2, 21) (dual of [131084, 130903, 22]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(2208, 131077, F2, 25) (dual of [131077, 130869, 26]-code) [i]✔
4Linear OA(2209, 131081, F2, 25) (dual of [131081, 130872, 26]-code) [i]✔
5Linear OA(2210, 131089, F2, 25) (dual of [131089, 130879, 26]-code) [i]✔
6Linear OA(2211, 131105, F2, 25) (dual of [131105, 130894, 26]-code) [i]✔
7Linear OA(2212, 131114, F2, 25) (dual of [131114, 130902, 26]-code) [i]✔
8Linear OA(2174, 131077, F2, 21) (dual of [131077, 130903, 22]-code) [i]✔
9Linear OA(2175, 131081, F2, 21) (dual of [131081, 130906, 22]-code) [i]✔
10Linear OA(2176, 131089, F2, 21) (dual of [131089, 130913, 22]-code) [i]✔
11Linear OA(2177, 131105, F2, 21) (dual of [131105, 130928, 22]-code) [i]✔
12Linear OA(2178, 131114, F2, 21) (dual of [131114, 130936, 22]-code) [i]✔
13Linear OOA(2171, 43691, F2, 3, 21) (dual of [(43691, 3), 130902, 22]-NRT-code) [i]OOA Folding