Information on Result #611404

Linear OA(2221, 2049, F2, 41) (dual of [2049, 1828, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (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(2220, 2048, F2, 40) (dual of [2048, 1828, 41]-code) [i]Truncation
2Linear OA(2241, 2070, F2, 41) (dual of [2070, 1829, 42]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(2244, 2072, F2, 43) (dual of [2072, 1828, 44]-code) [i]✔
4Linear OA(2246, 2053, F2, 45) (dual of [2053, 1807, 46]-code) [i]✔
5Linear OA(2247, 2057, F2, 45) (dual of [2057, 1810, 46]-code) [i]✔
6Linear OA(2248, 2065, F2, 45) (dual of [2065, 1817, 46]-code) [i]✔
7Linear OA(2249, 2077, F2, 45) (dual of [2077, 1828, 46]-code) [i]✔
8Linear OA(2222, 2072, F2, 39) (dual of [2072, 1850, 40]-code) [i]✔
9Linear OA(2224, 2053, F2, 41) (dual of [2053, 1829, 42]-code) [i]✔
10Linear OA(2225, 2057, F2, 41) (dual of [2057, 1832, 42]-code) [i]✔
11Linear OA(2226, 2065, F2, 41) (dual of [2065, 1839, 42]-code) [i]✔
12Linear OA(2227, 2077, F2, 41) (dual of [2077, 1850, 42]-code) [i]✔
13Linear OA(2238, 2089, F2, 41) (dual of [2089, 1851, 42]-code) [i]✔
14Linear OA(2239, 2097, F2, 41) (dual of [2097, 1858, 42]-code) [i]✔
15Linear OA(2240, 2112, F2, 41) (dual of [2112, 1872, 42]-code) [i]✔
16Linear OA(2239, 2111, F2, 41) (dual of [2111, 1872, 42]-code) [i]✔
17Linear OOA(2221, 683, F2, 3, 41) (dual of [(683, 3), 1828, 42]-NRT-code) [i]OOA Folding