Information on Result #673069

Linear OA(2101, 1024, F2, 21) (dual of [1024, 923, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21

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(2112, 1035, F2, 23) (dual of [1035, 923, 24]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2102, 1035, F2, 21) (dual of [1035, 933, 22]-code) [i]✔
3Linear OA(2142, 1057, F2, 27) (dual of [1057, 915, 28]-code) [i]✔
4Linear OA(2143, 1061, F2, 27) (dual of [1061, 918, 28]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
5Linear OA(2142, 1059, F2, 27) (dual of [1059, 917, 28]-code) [i]✔
6Linear OA(2141, 1057, F2, 27) (dual of [1057, 916, 28]-code) [i]✔
7Linear OA(2126, 1042, F2, 25) (dual of [1042, 916, 26]-code) [i]✔
8Linear OA(2132, 1059, F2, 25) (dual of [1059, 927, 26]-code) [i]✔
9Linear OA(2131, 1057, F2, 25) (dual of [1057, 926, 26]-code) [i]✔
10Linear OA(2116, 1042, F2, 23) (dual of [1042, 926, 24]-code) [i]✔
11Linear OA(2106, 1042, F2, 21) (dual of [1042, 936, 22]-code) [i]✔
12Linear OOA(2101, 512, F2, 2, 21) (dual of [(512, 2), 923, 22]-NRT-code) [i]OOA Folding
13Linear OOA(2101, 256, F2, 4, 21) (dual of [(256, 4), 923, 22]-NRT-code) [i]
14Linear OOA(2101, 128, F2, 8, 21) (dual of [(128, 8), 923, 22]-NRT-code) [i]