Information on Result #611359

Linear OA(2222, 8192, F2, 35) (dual of [8192, 7970, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35

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(2221, 8191, F2, 34) (dual of [8191, 7970, 35]-code) [i]Truncation
2Linear OA(2236, 8206, F2, 37) (dual of [8206, 7970, 38]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(2223, 8206, F2, 35) (dual of [8206, 7983, 36]-code) [i]✔
4Linear OA(2254, 8224, F2, 39) (dual of [8224, 7970, 40]-code) [i]✔
5Linear OA(2228, 8224, F2, 35) (dual of [8224, 7996, 36]-code) [i]✔
6Linear OA(2235, 8244, F2, 35) (dual of [8244, 8009, 36]-code) [i]✔
7Linear OA(2234, 8237, F2, 35) (dual of [8237, 8003, 36]-code) [i]✔
8Linear OA(2234, 8240, F2, 35) (dual of [8240, 8006, 36]-code) [i]✔
9Linear OOA(2222, 4096, F2, 2, 35) (dual of [(4096, 2), 7970, 36]-NRT-code) [i]OOA Folding
10Linear OOA(2222, 2730, F2, 3, 35) (dual of [(2730, 3), 7968, 36]-NRT-code) [i]
11Linear OOA(2222, 2048, F2, 4, 35) (dual of [(2048, 4), 7970, 36]-NRT-code) [i]
12Linear OOA(2222, 1638, F2, 5, 35) (dual of [(1638, 5), 7968, 36]-NRT-code) [i]
13Linear OOA(2222, 1365, F2, 6, 35) (dual of [(1365, 6), 7968, 36]-NRT-code) [i]
14Linear OOA(2222, 1170, F2, 7, 35) (dual of [(1170, 7), 7968, 36]-NRT-code) [i]
15Linear OOA(2222, 1024, F2, 8, 35) (dual of [(1024, 8), 7970, 36]-NRT-code) [i]