Information on Result #611177

Linear OA(2201, 1048577, F2, 21) (dual of [1048577, 1048376, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 240−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(2200, 1048576, F2, 20) (dual of [1048576, 1048376, 21]-code) [i]Truncation
2Linear OA(2211, 1048588, F2, 21) (dual of [1048588, 1048377, 22]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(2244, 1048581, F2, 25) (dual of [1048581, 1048337, 26]-code) [i]✔
4Linear OA(2245, 1048585, F2, 25) (dual of [1048585, 1048340, 26]-code) [i]✔
5Linear OA(2246, 1048593, F2, 25) (dual of [1048593, 1048347, 26]-code) [i]✔
6Linear OA(2247, 1048609, F2, 25) (dual of [1048609, 1048362, 26]-code) [i]✔
7Linear OA(2248, 1048624, F2, 25) (dual of [1048624, 1048376, 26]-code) [i]✔
8Linear OA(2204, 1048581, F2, 21) (dual of [1048581, 1048377, 22]-code) [i]✔
9Linear OA(2205, 1048585, F2, 21) (dual of [1048585, 1048380, 22]-code) [i]✔
10Linear OA(2206, 1048593, F2, 21) (dual of [1048593, 1048387, 22]-code) [i]✔
11Linear OA(2207, 1048609, F2, 21) (dual of [1048609, 1048402, 22]-code) [i]✔
12Linear OA(2208, 1048624, F2, 21) (dual of [1048624, 1048416, 22]-code) [i]✔