Information on Result #610982

Linear OA(266, 8192, F2, 11) (dual of [8192, 8126, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, 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(265, 8191, F2, 10) (dual of [8191, 8126, 11]-code) [i]Truncation
2Linear OA(280, 8206, F2, 13) (dual of [8206, 8126, 14]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(267, 8206, F2, 11) (dual of [8206, 8139, 12]-code) [i]✔
4Linear OA(298, 8224, F2, 15) (dual of [8224, 8126, 16]-code) [i]✔
5Linear OA(280, 8207, F2, 13) (dual of [8207, 8127, 14]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
6Linear OA(267, 8207, F2, 11) (dual of [8207, 8140, 12]-code) [i]✔
7Linear OOA(266, 4096, F2, 2, 11) (dual of [(4096, 2), 8126, 12]-NRT-code) [i]OOA Folding
8Linear OOA(266, 2730, F2, 3, 11) (dual of [(2730, 3), 8124, 12]-NRT-code) [i]
9Linear OOA(266, 2048, F2, 4, 11) (dual of [(2048, 4), 8126, 12]-NRT-code) [i]
10Linear OOA(266, 1638, F2, 5, 11) (dual of [(1638, 5), 8124, 12]-NRT-code) [i]
11Linear OOA(266, 1638, F2, 6, 11) (dual of [(1638, 6), 9762, 12]-NRT-code) [i]OOA Folding and Stacking with Additional Row
12Linear OOA(266, 1638, F2, 7, 11) (dual of [(1638, 7), 11400, 12]-NRT-code) [i]
13Linear OOA(266, 1638, F2, 8, 11) (dual of [(1638, 8), 13038, 12]-NRT-code) [i]
14Linear OOA(266, 1638, F2, 11, 11) (dual of [(1638, 11), 17952, 12]-NRT-code) [i]