Information on Result #611368

Linear OA(2199, 2049, F2, 37) (dual of [2049, 1850, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (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(2198, 2048, F2, 36) (dual of [2048, 1850, 37]-code) [i]Truncation
2Linear OA(2217, 2068, F2, 37) (dual of [2068, 1851, 38]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(2222, 2072, F2, 39) (dual of [2072, 1850, 40]-code) [i]✔
4Linear OA(2224, 2053, F2, 41) (dual of [2053, 1829, 42]-code) [i]✔
5Linear OA(2225, 2057, F2, 41) (dual of [2057, 1832, 42]-code) [i]✔
6Linear OA(2226, 2065, F2, 41) (dual of [2065, 1839, 42]-code) [i]✔
7Linear OA(2227, 2077, F2, 41) (dual of [2077, 1850, 42]-code) [i]✔
8Linear OA(2200, 2072, F2, 35) (dual of [2072, 1872, 36]-code) [i]✔
9Linear OA(2202, 2053, F2, 37) (dual of [2053, 1851, 38]-code) [i]✔
10Linear OA(2203, 2057, F2, 37) (dual of [2057, 1854, 38]-code) [i]✔
11Linear OA(2204, 2065, F2, 37) (dual of [2065, 1861, 38]-code) [i]✔
12Linear OA(2205, 2077, F2, 37) (dual of [2077, 1872, 38]-code) [i]✔
13Linear OA(2260, 2089, F2, 45) (dual of [2089, 1829, 46]-code) [i]✔
14Linear OA(2260, 2096, F2, 44) (dual of [2096, 1836, 45]-code) [i]✔
15Linear OA(2216, 2089, F2, 37) (dual of [2089, 1873, 38]-code) [i]✔
16Linear OA(2260, 2110, F2, 44) (dual of [2110, 1850, 45]-code) [i]✔
17Linear OOA(2199, 683, F2, 3, 37) (dual of [(683, 3), 1850, 38]-NRT-code) [i]OOA Folding