Information on Result #611259

Linear OA(2144, 2048, F2, 27) (dual of [2048, 1904, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27

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, 2047, F2, 26) (dual of [2047, 1904, 27]-code) [i]Truncation
2Linear OA(2156, 2060, F2, 29) (dual of [2060, 1904, 30]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(2145, 2060, F2, 27) (dual of [2060, 1915, 28]-code) [i]✔
4Linear OA(2172, 2076, F2, 31) (dual of [2076, 1904, 32]-code) [i]✔
5Linear OA(2150, 2076, F2, 27) (dual of [2076, 1926, 28]-code) [i]✔
6Linear OA(2190, 2094, F2, 33) (dual of [2094, 1904, 34]-code) [i]✔
7Linear OA(2189, 2093, F2, 33) (dual of [2093, 1904, 34]-code) [i]✔
8Linear OA(2156, 2093, F2, 27) (dual of [2093, 1937, 28]-code) [i]✔
9Linear OA(2188, 2085, F2, 33) (dual of [2085, 1897, 34]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
10Linear OA(2177, 2085, F2, 31) (dual of [2085, 1908, 32]-code) [i]✔
11Linear OA(2155, 2085, F2, 27) (dual of [2085, 1930, 28]-code) [i]✔
12Linear OOA(2144, 1024, F2, 2, 27) (dual of [(1024, 2), 1904, 28]-NRT-code) [i]OOA Folding
13Linear OOA(2144, 682, F2, 3, 27) (dual of [(682, 3), 1902, 28]-NRT-code) [i]
14Linear OOA(2144, 512, F2, 4, 27) (dual of [(512, 4), 1904, 28]-NRT-code) [i]
15Linear OOA(2144, 409, F2, 5, 27) (dual of [(409, 5), 1901, 28]-NRT-code) [i]
16Linear OOA(2144, 341, F2, 6, 27) (dual of [(341, 6), 1902, 28]-NRT-code) [i]
17Linear OOA(2144, 292, F2, 7, 27) (dual of [(292, 7), 1900, 28]-NRT-code) [i]
18Linear OOA(2144, 256, F2, 8, 27) (dual of [(256, 8), 1904, 28]-NRT-code) [i]