Information on Result #611180

Linear OA(2211, 2097153, F2, 21) (dual of [2097153, 2096942, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 242−1, 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(2210, 2097152, F2, 20) (dual of [2097152, 2096942, 21]-code) [i]Truncation
2Linear OA(2221, 2097164, F2, 21) (dual of [2097164, 2096943, 22]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(2256, 2097157, F2, 25) (dual of [2097157, 2096901, 26]-code) [i]✔
4Linear OA(2257, 2097161, F2, 25) (dual of [2097161, 2096904, 26]-code) [i]✔
5Linear OA(2258, 2097169, F2, 25) (dual of [2097169, 2096911, 26]-code) [i]✔
6Linear OA(2259, 2097185, F2, 25) (dual of [2097185, 2096926, 26]-code) [i]✔
7Linear OA(2260, 2097202, F2, 25) (dual of [2097202, 2096942, 26]-code) [i]✔
8Linear OA(2214, 2097157, F2, 21) (dual of [2097157, 2096943, 22]-code) [i]✔
9Linear OA(2215, 2097161, F2, 21) (dual of [2097161, 2096946, 22]-code) [i]✔
10Linear OA(2216, 2097169, F2, 21) (dual of [2097169, 2096953, 22]-code) [i]✔
11Linear OA(2217, 2097185, F2, 21) (dual of [2097185, 2096968, 22]-code) [i]✔
12Linear OA(2218, 2097202, F2, 21) (dual of [2097202, 2096984, 22]-code) [i]✔
13Linear OOA(2211, 699051, F2, 3, 21) (dual of [(699051, 3), 2096942, 22]-NRT-code) [i]OOA Folding