Information on Result #611110

Linear OA(2161, 1048577, F2, 17) (dual of [1048577, 1048416, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 240−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound)

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(2160, 1048576, F2, 16) (dual of [1048576, 1048416, 17]-code) [i]Truncation
2Linear OA(2169, 1048586, F2, 17) (dual of [1048586, 1048417, 18]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(2204, 1048581, F2, 21) (dual of [1048581, 1048377, 22]-code) [i]✔
4Linear OA(2205, 1048585, F2, 21) (dual of [1048585, 1048380, 22]-code) [i]✔
5Linear OA(2206, 1048593, F2, 21) (dual of [1048593, 1048387, 22]-code) [i]✔
6Linear OA(2207, 1048609, F2, 21) (dual of [1048609, 1048402, 22]-code) [i]✔
7Linear OA(2208, 1048624, F2, 21) (dual of [1048624, 1048416, 22]-code) [i]✔
8Linear OA(2164, 1048581, F2, 17) (dual of [1048581, 1048417, 18]-code) [i]✔
9Linear OA(2165, 1048585, F2, 17) (dual of [1048585, 1048420, 18]-code) [i]✔
10Linear OA(2166, 1048593, F2, 17) (dual of [1048593, 1048427, 18]-code) [i]✔
11Linear OA(2167, 1048609, F2, 17) (dual of [1048609, 1048442, 18]-code) [i]✔
12Linear OA(2168, 1048624, F2, 17) (dual of [1048624, 1048456, 18]-code) [i]✔
13Linear OOA(2161, 131072, F2, 17, 17) (dual of [(131072, 17), 2228063, 18]-NRT-code) [i]OOA Folding and Stacking with Additional Row