Information on Result #616241

Linear OA(1641, 1048577, F16, 9) (dual of [1048577, 1048536, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 1610−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(1645, 1048594, F16, 9) (dual of [1048594, 1048549, 10]-code) [i](u, u+v)-Construction
2Linear OA(1646, 1048601, F16, 9) (dual of [1048601, 1048555, 10]-code) [i]
3Linear OA(1647, 1048817, F16, 9) (dual of [1048817, 1048770, 10]-code) [i]
4Linear OA(1648, 1048834, F16, 9) (dual of [1048834, 1048786, 10]-code) [i]
5Linear OA(1648, 1048611, F16, 9) (dual of [1048611, 1048563, 10]-code) [i](u, u−v, u+v+w)-Construction
6Linear OA(1645, 1048582, F16, 9) (dual of [1048582, 1048537, 10]-code) [i]✔Construction X with Cyclic Codes
7Linear OA(1652, 1048588, F16, 11) (dual of [1048588, 1048536, 12]-code) [i]✔
8Linear OA(1642, 1048588, F16, 9) (dual of [1048588, 1048546, 10]-code) [i]✔
9Linear OA(1664, 1048595, F16, 13) (dual of [1048595, 1048531, 14]-code) [i]✔
10Linear OA(1665, 1048601, F16, 13) (dual of [1048601, 1048536, 14]-code) [i]✔
11Linear OA(1644, 1048595, F16, 9) (dual of [1048595, 1048551, 10]-code) [i]✔
12Linear OA(1645, 1048601, F16, 9) (dual of [1048601, 1048556, 10]-code) [i]✔
13Linear OA(1678, 1048614, F16, 15) (dual of [1048614, 1048536, 16]-code) [i]✔
14Linear OA(1652, 1048589, F16, 11) (dual of [1048589, 1048537, 12]-code) [i]✔Construction X4 with Cyclic Codes
15Linear OA(1642, 1048589, F16, 9) (dual of [1048589, 1048547, 10]-code) [i]✔