Information on Result #610980

Linear OA(256, 2048, F2, 11) (dual of [2048, 1992, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11

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(268, 2060, F2, 13) (dual of [2060, 1992, 14]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(257, 2060, F2, 11) (dual of [2060, 2003, 12]-code) [i]✔
3Linear OA(284, 2076, F2, 15) (dual of [2076, 1992, 16]-code) [i]✔
4Linear OA(257, 2061, F2, 11) (dual of [2061, 2004, 12]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
5Linear OOA(256, 1024, F2, 2, 11) (dual of [(1024, 2), 1992, 12]-NRT-code) [i]OOA Folding
6Linear OOA(256, 682, F2, 3, 11) (dual of [(682, 3), 1990, 12]-NRT-code) [i]
7Linear OOA(256, 512, F2, 4, 11) (dual of [(512, 4), 1992, 12]-NRT-code) [i]
8Linear OOA(256, 409, F2, 5, 11) (dual of [(409, 5), 1989, 12]-NRT-code) [i]
9Linear OOA(256, 409, F2, 6, 11) (dual of [(409, 6), 2398, 12]-NRT-code) [i]OOA Folding and Stacking with Additional Row
10Linear OOA(256, 409, F2, 7, 11) (dual of [(409, 7), 2807, 12]-NRT-code) [i]
11Linear OOA(256, 409, F2, 8, 11) (dual of [(409, 8), 3216, 12]-NRT-code) [i]
12Linear OOA(256, 409, F2, 11, 11) (dual of [(409, 11), 4443, 12]-NRT-code) [i]