Information on Result #672930

Linear OA(2221, 2048, F2, 41) (dual of [2048, 1827, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41

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(2233, 2060, F2, 43) (dual of [2060, 1827, 44]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2222, 2060, F2, 41) (dual of [2060, 1838, 42]-code) [i]✔
3Linear OA(2234, 2094, F2, 41) (dual of [2094, 1860, 42]-code) [i]✔
4Linear OA(2233, 2093, F2, 41) (dual of [2093, 1860, 42]-code) [i]✔
5Linear OA(2254, 2085, F2, 45) (dual of [2085, 1831, 46]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
6Linear OA(2232, 2085, F2, 41) (dual of [2085, 1853, 42]-code) [i]✔
7Linear OOA(2221, 1024, F2, 2, 41) (dual of [(1024, 2), 1827, 42]-NRT-code) [i]OOA Folding
8Linear OOA(2221, 512, F2, 4, 41) (dual of [(512, 4), 1827, 42]-NRT-code) [i]
9Linear OOA(2221, 409, F2, 5, 41) (dual of [(409, 5), 1824, 42]-NRT-code) [i]
10Linear OOA(2221, 341, F2, 6, 41) (dual of [(341, 6), 1825, 42]-NRT-code) [i]
11Linear OOA(2221, 292, F2, 7, 41) (dual of [(292, 7), 1823, 42]-NRT-code) [i]
12Linear OOA(2221, 256, F2, 8, 41) (dual of [(256, 8), 1827, 42]-NRT-code) [i]