Information on Result #672749

Linear OA(2183, 8192, F2, 29) (dual of [8192, 8009, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(2197, 8206, F2, 31) (dual of [8206, 8009, 32]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2184, 8206, F2, 29) (dual of [8206, 8022, 30]-code) [i]✔
3Linear OA(2235, 8244, F2, 35) (dual of [8244, 8009, 36]-code) [i]✔
4Linear OA(2196, 8244, F2, 29) (dual of [8244, 8048, 30]-code) [i]✔
5Linear OA(2234, 8237, F2, 35) (dual of [8237, 8003, 36]-code) [i]✔
6Linear OA(2195, 8237, F2, 29) (dual of [8237, 8042, 30]-code) [i]✔
7Linear OA(2234, 8240, F2, 35) (dual of [8240, 8006, 36]-code) [i]✔
8Linear OA(2195, 8240, F2, 29) (dual of [8240, 8045, 30]-code) [i]✔
9Linear OOA(2183, 4096, F2, 2, 29) (dual of [(4096, 2), 8009, 30]-NRT-code) [i]OOA Folding
10Linear OOA(2183, 2048, F2, 4, 29) (dual of [(2048, 4), 8009, 30]-NRT-code) [i]
11Linear OOA(2183, 1638, F2, 5, 29) (dual of [(1638, 5), 8007, 30]-NRT-code) [i]
12Linear OOA(2183, 1365, F2, 6, 29) (dual of [(1365, 6), 8007, 30]-NRT-code) [i]
13Linear OOA(2183, 1170, F2, 7, 29) (dual of [(1170, 7), 8007, 30]-NRT-code) [i]
14Linear OOA(2183, 1024, F2, 8, 29) (dual of [(1024, 8), 8009, 30]-NRT-code) [i]
15Linear OOA(2183, 585, F2, 29, 29) (dual of [(585, 29), 16782, 30]-NRT-code) [i]OOA Folding and Stacking with Additional Row