Information on Result #611413

Linear OA(2232, 2048, F2, 43) (dual of [2048, 1816, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43

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(2231, 2047, F2, 42) (dual of [2047, 1816, 43]-code) [i]Truncation
2Linear OA(2244, 2060, F2, 45) (dual of [2060, 1816, 46]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(2233, 2060, F2, 43) (dual of [2060, 1827, 44]-code) [i]✔
4Linear OA(2260, 2076, F2, 47) (dual of [2076, 1816, 48]-code) [i]✔
5Linear OA(2238, 2076, F2, 43) (dual of [2076, 1838, 44]-code) [i]✔
6Linear OA(2245, 2094, F2, 43) (dual of [2094, 1849, 44]-code) [i]✔
7Linear OA(2251, 2111, F2, 43) (dual of [2111, 1860, 44]-code) [i]✔
8Linear OA(2244, 2093, F2, 43) (dual of [2093, 1849, 44]-code) [i]✔
9Linear OA(2250, 2110, F2, 43) (dual of [2110, 1860, 44]-code) [i]✔
10Linear OA(2243, 2085, F2, 43) (dual of [2085, 1842, 44]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
11Linear OOA(2232, 1024, F2, 2, 43) (dual of [(1024, 2), 1816, 44]-NRT-code) [i]OOA Folding
12Linear OOA(2232, 682, F2, 3, 43) (dual of [(682, 3), 1814, 44]-NRT-code) [i]
13Linear OOA(2232, 512, F2, 4, 43) (dual of [(512, 4), 1816, 44]-NRT-code) [i]
14Linear OOA(2232, 409, F2, 5, 43) (dual of [(409, 5), 1813, 44]-NRT-code) [i]
15Linear OOA(2232, 341, F2, 6, 43) (dual of [(341, 6), 1814, 44]-NRT-code) [i]
16Linear OOA(2232, 292, F2, 7, 43) (dual of [(292, 7), 1812, 44]-NRT-code) [i]
17Linear OOA(2232, 256, F2, 8, 43) (dual of [(256, 8), 1816, 44]-NRT-code) [i]