Information on Result #618974

Linear OA(6471, 4096, F64, 36) (dual of [4096, 4025, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36

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(8142, 8192, F8, 36) (dual of [8192, 8050, 37]-code) [i]Trace Code
2Linear OA(6489, 4161, F64, 36) (dual of [4161, 4072, 37]-code) [i](u, u+v)-Construction
3Linear OA(6490, 4176, F64, 36) (dual of [4176, 4086, 37]-code) [i]
4Linear OA(6491, 4178, F64, 36) (dual of [4178, 4087, 37]-code) [i]
5Linear OA(6473, 4098, F64, 37) (dual of [4098, 4025, 38]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
6Linear OA(6471, 4098, F64, 36) (dual of [4098, 4027, 37]-code) [i]✔
7Linear OA(6476, 4101, F64, 38) (dual of [4101, 4025, 39]-code) [i]✔
8Linear OA(6472, 4101, F64, 36) (dual of [4101, 4029, 37]-code) [i]✔
9Linear OA(6479, 4104, F64, 39) (dual of [4104, 4025, 40]-code) [i]✔
10Linear OA(6473, 4104, F64, 36) (dual of [4104, 4031, 37]-code) [i]✔
11Linear OA(6482, 4107, F64, 40) (dual of [4107, 4025, 41]-code) [i]✔
12Linear OA(6474, 4107, F64, 36) (dual of [4107, 4033, 37]-code) [i]✔
13Linear OA(6485, 4110, F64, 41) (dual of [4110, 4025, 42]-code) [i]✔
14Linear OA(6475, 4110, F64, 36) (dual of [4110, 4035, 37]-code) [i]✔
15Linear OA(6488, 4113, F64, 42) (dual of [4113, 4025, 43]-code) [i]✔
16Linear OA(6476, 4113, F64, 36) (dual of [4113, 4037, 37]-code) [i]✔
17Linear OA(6491, 4116, F64, 43) (dual of [4116, 4025, 44]-code) [i]✔
18Linear OA(6477, 4116, F64, 36) (dual of [4116, 4039, 37]-code) [i]✔
19Linear OA(6478, 4119, F64, 36) (dual of [4119, 4041, 37]-code) [i]✔
20Linear OA(6479, 4122, F64, 36) (dual of [4122, 4043, 37]-code) [i]✔
21Linear OA(6480, 4125, F64, 36) (dual of [4125, 4045, 37]-code) [i]✔
22Linear OA(6481, 4128, F64, 36) (dual of [4128, 4047, 37]-code) [i]✔
23Linear OA(6482, 4131, F64, 36) (dual of [4131, 4049, 37]-code) [i]✔
24Linear OA(6483, 4134, F64, 36) (dual of [4134, 4051, 37]-code) [i]✔
25Linear OA(6484, 4137, F64, 36) (dual of [4137, 4053, 37]-code) [i]✔
26Linear OA(6485, 4140, F64, 36) (dual of [4140, 4055, 37]-code) [i]✔
27Linear OA(6486, 4143, F64, 36) (dual of [4143, 4057, 37]-code) [i]✔
28Linear OA(6487, 4146, F64, 36) (dual of [4146, 4059, 37]-code) [i]✔
29Linear OA(6488, 4149, F64, 36) (dual of [4149, 4061, 37]-code) [i]✔