Information on Result #611174

Linear OA(2191, 524289, F2, 21) (dual of [524289, 524098, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 524289 | 238−1, 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(2190, 524288, F2, 20) (dual of [524288, 524098, 21]-code) [i]Truncation
2Linear OA(2201, 524300, F2, 21) (dual of [524300, 524099, 22]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(2232, 524293, F2, 25) (dual of [524293, 524061, 26]-code) [i]✔
4Linear OA(2233, 524297, F2, 25) (dual of [524297, 524064, 26]-code) [i]✔
5Linear OA(2234, 524305, F2, 25) (dual of [524305, 524071, 26]-code) [i]✔
6Linear OA(2235, 524321, F2, 25) (dual of [524321, 524086, 26]-code) [i]✔
7Linear OA(2236, 524334, F2, 25) (dual of [524334, 524098, 26]-code) [i]✔
8Linear OA(2194, 524293, F2, 21) (dual of [524293, 524099, 22]-code) [i]✔
9Linear OA(2195, 524297, F2, 21) (dual of [524297, 524102, 22]-code) [i]✔
10Linear OA(2196, 524305, F2, 21) (dual of [524305, 524109, 22]-code) [i]✔
11Linear OA(2197, 524321, F2, 21) (dual of [524321, 524124, 22]-code) [i]✔
12Linear OA(2198, 524334, F2, 21) (dual of [524334, 524136, 22]-code) [i]✔
13Linear OOA(2191, 174763, F2, 3, 21) (dual of [(174763, 3), 524098, 22]-NRT-code) [i]OOA Folding