Information on Result #611329

Linear OA(2177, 2049, F2, 33) (dual of [2049, 1872, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (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(2176, 2048, F2, 32) (dual of [2048, 1872, 33]-code) [i]Truncation
2Linear OA(2193, 2066, F2, 33) (dual of [2066, 1873, 34]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(2200, 2072, F2, 35) (dual of [2072, 1872, 36]-code) [i]✔
4Linear OA(2202, 2053, F2, 37) (dual of [2053, 1851, 38]-code) [i]✔
5Linear OA(2203, 2057, F2, 37) (dual of [2057, 1854, 38]-code) [i]✔
6Linear OA(2204, 2065, F2, 37) (dual of [2065, 1861, 38]-code) [i]✔
7Linear OA(2205, 2077, F2, 37) (dual of [2077, 1872, 38]-code) [i]✔
8Linear OA(2178, 2072, F2, 31) (dual of [2072, 1894, 32]-code) [i]✔
9Linear OA(2180, 2053, F2, 33) (dual of [2053, 1873, 34]-code) [i]✔
10Linear OA(2181, 2057, F2, 33) (dual of [2057, 1876, 34]-code) [i]✔
11Linear OA(2182, 2065, F2, 33) (dual of [2065, 1883, 34]-code) [i]✔
12Linear OA(2183, 2077, F2, 33) (dual of [2077, 1894, 34]-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(2177, 683, F2, 3, 33) (dual of [(683, 3), 1872, 34]-NRT-code) [i]OOA Folding