Information on Result #610988

Linear OA(296, 524288, F2, 11) (dual of [524288, 524192, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, 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(295, 524287, F2, 10) (dual of [524287, 524192, 11]-code) [i]Truncation
2Linear OA(2116, 524308, F2, 13) (dual of [524308, 524192, 14]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(297, 524308, F2, 11) (dual of [524308, 524211, 12]-code) [i]✔
4Linear OA(2140, 524320, F2, 15) (dual of [524320, 524180, 16]-code) [i]✔
5Linear OA(2116, 524309, F2, 13) (dual of [524309, 524193, 14]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
6Linear OA(297, 524309, F2, 11) (dual of [524309, 524212, 12]-code) [i]✔
7Linear OOA(296, 262144, F2, 2, 11) (dual of [(262144, 2), 524192, 12]-NRT-code) [i]OOA Folding
8Linear OOA(296, 174762, F2, 3, 11) (dual of [(174762, 3), 524190, 12]-NRT-code) [i]
9Linear OOA(296, 131072, F2, 4, 11) (dual of [(131072, 4), 524192, 12]-NRT-code) [i]
10Linear OOA(296, 104857, F2, 5, 11) (dual of [(104857, 5), 524189, 12]-NRT-code) [i]
11Linear OOA(296, 104857, F2, 6, 11) (dual of [(104857, 6), 629046, 12]-NRT-code) [i]OOA Folding and Stacking with Additional Row
12Linear OOA(296, 104857, F2, 7, 11) (dual of [(104857, 7), 733903, 12]-NRT-code) [i]
13Linear OOA(296, 104857, F2, 8, 11) (dual of [(104857, 8), 838760, 12]-NRT-code) [i]
14Linear OOA(296, 104857, F2, 11, 11) (dual of [(104857, 11), 1153331, 12]-NRT-code) [i]