Information on Result #672939

Linear OA(2155, 2048, F2, 29) (dual of [2048, 1893, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, 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(2167, 2060, F2, 31) (dual of [2060, 1893, 32]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2156, 2060, F2, 29) (dual of [2060, 1904, 30]-code) [i]✔
3Linear OA(2201, 2094, F2, 35) (dual of [2094, 1893, 36]-code) [i]✔
4Linear OA(2168, 2094, F2, 29) (dual of [2094, 1926, 30]-code) [i]✔
5Linear OA(2200, 2093, F2, 35) (dual of [2093, 1893, 36]-code) [i]✔
6Linear OA(2167, 2093, F2, 29) (dual of [2093, 1926, 30]-code) [i]✔
7Linear OA(2199, 2085, F2, 35) (dual of [2085, 1886, 36]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
8Linear OA(2188, 2085, F2, 33) (dual of [2085, 1897, 34]-code) [i]✔
9Linear OA(2166, 2085, F2, 29) (dual of [2085, 1919, 30]-code) [i]✔
10Linear OOA(2155, 1024, F2, 2, 29) (dual of [(1024, 2), 1893, 30]-NRT-code) [i]OOA Folding
11Linear OOA(2155, 512, F2, 4, 29) (dual of [(512, 4), 1893, 30]-NRT-code) [i]
12Linear OOA(2155, 409, F2, 5, 29) (dual of [(409, 5), 1890, 30]-NRT-code) [i]
13Linear OOA(2155, 341, F2, 6, 29) (dual of [(341, 6), 1891, 30]-NRT-code) [i]
14Linear OOA(2155, 292, F2, 7, 29) (dual of [(292, 7), 1889, 30]-NRT-code) [i]
15Linear OOA(2155, 256, F2, 8, 29) (dual of [(256, 8), 1893, 30]-NRT-code) [i]