Information on Result #611281

Linear OA(2155, 2049, F2, 29) (dual of [2049, 1894, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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(2154, 2048, F2, 28) (dual of [2048, 1894, 29]-code) [i]Truncation
2Linear OA(2169, 2064, F2, 29) (dual of [2064, 1895, 30]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(2178, 2072, F2, 31) (dual of [2072, 1894, 32]-code) [i]✔
4Linear OA(2180, 2053, F2, 33) (dual of [2053, 1873, 34]-code) [i]✔
5Linear OA(2181, 2057, F2, 33) (dual of [2057, 1876, 34]-code) [i]✔
6Linear OA(2182, 2065, F2, 33) (dual of [2065, 1883, 34]-code) [i]✔
7Linear OA(2183, 2077, F2, 33) (dual of [2077, 1894, 34]-code) [i]✔
8Linear OA(2156, 2072, F2, 27) (dual of [2072, 1916, 28]-code) [i]✔
9Linear OA(2158, 2053, F2, 29) (dual of [2053, 1895, 30]-code) [i]✔
10Linear OA(2159, 2057, F2, 29) (dual of [2057, 1898, 30]-code) [i]✔
11Linear OA(2160, 2065, F2, 29) (dual of [2065, 1905, 30]-code) [i]✔
12Linear OA(2161, 2077, F2, 29) (dual of [2077, 1916, 30]-code) [i]✔
13Linear OA(2216, 2089, F2, 37) (dual of [2089, 1873, 38]-code) [i]✔
14Linear OOA(2155, 683, F2, 3, 29) (dual of [(683, 3), 1894, 30]-NRT-code) [i]OOA Folding