Information on Result #610984

Linear OA(276, 32768, F2, 11) (dual of [32768, 32692, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, 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(275, 32767, F2, 10) (dual of [32767, 32692, 11]-code) [i]Truncation
2Linear OA(292, 32784, F2, 13) (dual of [32784, 32692, 14]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(277, 32784, F2, 11) (dual of [32784, 32707, 12]-code) [i]✔
4Linear OA(2112, 32800, F2, 15) (dual of [32800, 32688, 16]-code) [i]✔
5Linear OA(292, 32785, F2, 13) (dual of [32785, 32693, 14]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
6Linear OA(277, 32785, F2, 11) (dual of [32785, 32708, 12]-code) [i]✔
7Linear OOA(276, 16384, F2, 2, 11) (dual of [(16384, 2), 32692, 12]-NRT-code) [i]OOA Folding
8Linear OOA(276, 10922, F2, 3, 11) (dual of [(10922, 3), 32690, 12]-NRT-code) [i]
9Linear OOA(276, 8192, F2, 4, 11) (dual of [(8192, 4), 32692, 12]-NRT-code) [i]
10Linear OOA(276, 6553, F2, 5, 11) (dual of [(6553, 5), 32689, 12]-NRT-code) [i]
11Linear OOA(276, 6553, F2, 6, 11) (dual of [(6553, 6), 39242, 12]-NRT-code) [i]OOA Folding and Stacking with Additional Row
12Linear OOA(276, 6553, F2, 7, 11) (dual of [(6553, 7), 45795, 12]-NRT-code) [i]
13Linear OOA(276, 6553, F2, 8, 11) (dual of [(6553, 8), 52348, 12]-NRT-code) [i]
14Linear OOA(276, 6553, F2, 11, 11) (dual of [(6553, 11), 72007, 12]-NRT-code) [i]