Information on Result #619008

Linear OA(6479, 4096, F64, 40) (dual of [4096, 4017, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40

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(8158, 8192, F8, 40) (dual of [8192, 8034, 41]-code) [i]Trace Code
2Linear OA(6481, 4098, F64, 41) (dual of [4098, 4017, 42]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(6479, 4098, F64, 40) (dual of [4098, 4019, 41]-code) [i]✔
4Linear OA(6484, 4101, F64, 42) (dual of [4101, 4017, 43]-code) [i]✔
5Linear OA(6480, 4101, F64, 40) (dual of [4101, 4021, 41]-code) [i]✔
6Linear OA(6487, 4104, F64, 43) (dual of [4104, 4017, 44]-code) [i]✔
7Linear OA(6481, 4104, F64, 40) (dual of [4104, 4023, 41]-code) [i]✔
8Linear OA(6490, 4107, F64, 44) (dual of [4107, 4017, 45]-code) [i]✔
9Linear OA(6482, 4107, F64, 40) (dual of [4107, 4025, 41]-code) [i]✔
10Linear OA(6483, 4110, F64, 40) (dual of [4110, 4027, 41]-code) [i]✔
11Linear OA(6484, 4113, F64, 40) (dual of [4113, 4029, 41]-code) [i]✔
12Linear OA(6485, 4116, F64, 40) (dual of [4116, 4031, 41]-code) [i]✔
13Linear OA(6486, 4119, F64, 40) (dual of [4119, 4033, 41]-code) [i]✔
14Linear OA(6487, 4122, F64, 40) (dual of [4122, 4035, 41]-code) [i]✔
15Linear OA(6488, 4125, F64, 40) (dual of [4125, 4037, 41]-code) [i]✔
16Linear OA(6489, 4128, F64, 40) (dual of [4128, 4039, 41]-code) [i]✔
17Linear OA(6490, 4131, F64, 40) (dual of [4131, 4041, 41]-code) [i]✔
18Linear OA(6491, 4134, F64, 40) (dual of [4134, 4043, 41]-code) [i]✔