Information on Result #672281

Linear OA(2161, 1048576, F2, 17) (dual of [1048576, 1048415, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 220−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17

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(2182, 1048597, F2, 19) (dual of [1048597, 1048415, 20]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2162, 1048597, F2, 17) (dual of [1048597, 1048435, 18]-code) [i]✔
3Linear OA(2182, 1048598, F2, 19) (dual of [1048598, 1048416, 20]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
4Linear OA(2162, 1048598, F2, 17) (dual of [1048598, 1048436, 18]-code) [i]✔
5Linear OOA(2161, 524288, F2, 2, 17) (dual of [(524288, 2), 1048415, 18]-NRT-code) [i]OOA Folding
6Linear OOA(2161, 349525, F2, 3, 17) (dual of [(349525, 3), 1048414, 18]-NRT-code) [i]
7Linear OOA(2161, 262144, F2, 4, 17) (dual of [(262144, 4), 1048415, 18]-NRT-code) [i]
8Linear OOA(2161, 209715, F2, 5, 17) (dual of [(209715, 5), 1048414, 18]-NRT-code) [i]
9Linear OOA(2161, 174762, F2, 6, 17) (dual of [(174762, 6), 1048411, 18]-NRT-code) [i]
10Linear OOA(2161, 149796, F2, 7, 17) (dual of [(149796, 7), 1048411, 18]-NRT-code) [i]
11Linear OOA(2161, 131072, F2, 8, 17) (dual of [(131072, 8), 1048415, 18]-NRT-code) [i]