Information on Result #611195

Linear OA(2144, 8192, F2, 23) (dual of [8192, 8048, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23

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(2143, 8191, F2, 22) (dual of [8191, 8048, 23]-code) [i]Truncation
2Linear OA(2158, 8206, F2, 25) (dual of [8206, 8048, 26]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(2145, 8206, F2, 23) (dual of [8206, 8061, 24]-code) [i]✔
4Linear OA(2176, 8224, F2, 27) (dual of [8224, 8048, 28]-code) [i]✔
5Linear OA(2150, 8224, F2, 23) (dual of [8224, 8074, 24]-code) [i]✔
6Linear OA(2196, 8244, F2, 29) (dual of [8244, 8048, 30]-code) [i]✔
7Linear OA(2195, 8237, F2, 29) (dual of [8237, 8042, 30]-code) [i]✔
8Linear OA(2195, 8240, F2, 29) (dual of [8240, 8045, 30]-code) [i]✔
9Linear OOA(2144, 4096, F2, 2, 23) (dual of [(4096, 2), 8048, 24]-NRT-code) [i]OOA Folding
10Linear OOA(2144, 2730, F2, 3, 23) (dual of [(2730, 3), 8046, 24]-NRT-code) [i]
11Linear OOA(2144, 2048, F2, 4, 23) (dual of [(2048, 4), 8048, 24]-NRT-code) [i]
12Linear OOA(2144, 1638, F2, 5, 23) (dual of [(1638, 5), 8046, 24]-NRT-code) [i]
13Linear OOA(2144, 1365, F2, 6, 23) (dual of [(1365, 6), 8046, 24]-NRT-code) [i]
14Linear OOA(2144, 1170, F2, 7, 23) (dual of [(1170, 7), 8046, 24]-NRT-code) [i]
15Linear OOA(2144, 1024, F2, 8, 23) (dual of [(1024, 8), 8048, 24]-NRT-code) [i]
16Linear OOA(2144, 744, F2, 23, 23) (dual of [(744, 23), 16968, 24]-NRT-code) [i]OOA Folding and Stacking with Additional Row