Information on Result #611389

Linear OA(2248, 8192, F2, 39) (dual of [8192, 7944, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39

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(2247, 8191, F2, 38) (dual of [8191, 7944, 39]-code) [i]Truncation
2Linear OA(2249, 8206, F2, 39) (dual of [8206, 7957, 40]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(2254, 8224, F2, 39) (dual of [8224, 7970, 40]-code) [i]✔
4Linear OA(2260, 8243, F2, 38) (dual of [8243, 7983, 39]-code) [i]✔
5Linear OA(2260, 8237, F2, 39) (dual of [8237, 7977, 40]-code) [i]✔
6Linear OA(2260, 8240, F2, 39) (dual of [8240, 7980, 40]-code) [i]✔
7Linear OOA(2248, 4096, F2, 2, 39) (dual of [(4096, 2), 7944, 40]-NRT-code) [i]OOA Folding
8Linear OOA(2248, 2730, F2, 3, 39) (dual of [(2730, 3), 7942, 40]-NRT-code) [i]
9Linear OOA(2248, 2048, F2, 4, 39) (dual of [(2048, 4), 7944, 40]-NRT-code) [i]
10Linear OOA(2248, 1638, F2, 5, 39) (dual of [(1638, 5), 7942, 40]-NRT-code) [i]
11Linear OOA(2248, 1365, F2, 6, 39) (dual of [(1365, 6), 7942, 40]-NRT-code) [i]
12Linear OOA(2248, 1170, F2, 7, 39) (dual of [(1170, 7), 7942, 40]-NRT-code) [i]
13Linear OOA(2248, 1024, F2, 8, 39) (dual of [(1024, 8), 7944, 40]-NRT-code) [i]