Information on Result #618878

Linear OA(6451, 4096, F64, 26) (dual of [4096, 4045, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26

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(8102, 8192, F8, 26) (dual of [8192, 8090, 27]-code) [i]Trace Code
2Linear OA(6464, 4161, F64, 26) (dual of [4161, 4097, 27]-code) [i](u, u+v)-Construction
3Linear OA(6465, 4176, F64, 26) (dual of [4176, 4111, 27]-code) [i]
4Linear OA(6466, 4178, F64, 26) (dual of [4178, 4112, 27]-code) [i]
5Linear OA(6467, 4200, F64, 26) (dual of [4200, 4133, 27]-code) [i]
6Linear OA(6468, 4202, F64, 26) (dual of [4202, 4134, 27]-code) [i]
7Linear OA(6469, 4224, F64, 26) (dual of [4224, 4155, 27]-code) [i]
8Linear OA(6470, 4226, F64, 26) (dual of [4226, 4156, 27]-code) [i]
9Linear OA(6471, 4273, F64, 26) (dual of [4273, 4202, 27]-code) [i]
10Linear OA(6472, 4291, F64, 26) (dual of [4291, 4219, 27]-code) [i]
11Linear OA(6474, 4412, F64, 26) (dual of [4412, 4338, 27]-code) [i]
12Linear OA(6474, 4120, F64, 26) (dual of [4120, 4046, 27]-code) [i]Generalized (u, u+v)-Construction
13Linear OA(6471, 4117, F64, 26) (dual of [4117, 4046, 27]-code) [i]
14Linear OA(6473, 4120, F64, 26) (dual of [4120, 4047, 27]-code) [i]
15Linear OA(6474, 4123, F64, 26) (dual of [4123, 4049, 27]-code) [i]
16Linear OA(6468, 4114, F64, 26) (dual of [4114, 4046, 27]-code) [i](u, u−v, u+v+w)-Construction
17Linear OA(6469, 4116, F64, 26) (dual of [4116, 4047, 27]-code) [i]
18Linear OA(6470, 4118, F64, 26) (dual of [4118, 4048, 27]-code) [i]
19Linear OA(6471, 4120, F64, 26) (dual of [4120, 4049, 27]-code) [i]
20Linear OA(6472, 4226, F64, 26) (dual of [4226, 4154, 27]-code) [i]
21Linear OA(6473, 4241, F64, 26) (dual of [4241, 4168, 27]-code) [i]
22Linear OA(6474, 4256, F64, 26) (dual of [4256, 4182, 27]-code) [i]
23Linear OA(6453, 4098, F64, 27) (dual of [4098, 4045, 28]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
24Linear OA(6451, 4098, F64, 26) (dual of [4098, 4047, 27]-code) [i]✔
25Linear OA(6456, 4101, F64, 28) (dual of [4101, 4045, 29]-code) [i]✔
26Linear OA(6452, 4101, F64, 26) (dual of [4101, 4049, 27]-code) [i]✔
27Linear OA(6459, 4104, F64, 29) (dual of [4104, 4045, 30]-code) [i]✔
28Linear OA(6453, 4104, F64, 26) (dual of [4104, 4051, 27]-code) [i]✔
29Linear OA(6462, 4107, F64, 30) (dual of [4107, 4045, 31]-code) [i]✔
30Linear OA(6454, 4107, F64, 26) (dual of [4107, 4053, 27]-code) [i]✔
31Linear OA(6465, 4110, F64, 31) (dual of [4110, 4045, 32]-code) [i]✔
32Linear OA(6455, 4110, F64, 26) (dual of [4110, 4055, 27]-code) [i]✔
33Linear OA(6468, 4113, F64, 32) (dual of [4113, 4045, 33]-code) [i]✔
34Linear OA(6456, 4113, F64, 26) (dual of [4113, 4057, 27]-code) [i]✔
35Linear OA(6471, 4116, F64, 33) (dual of [4116, 4045, 34]-code) [i]✔
36Linear OA(6457, 4116, F64, 26) (dual of [4116, 4059, 27]-code) [i]✔
37Linear OA(6474, 4119, F64, 34) (dual of [4119, 4045, 35]-code) [i]✔
38Linear OA(6458, 4119, F64, 26) (dual of [4119, 4061, 27]-code) [i]✔
39Linear OA(6477, 4122, F64, 35) (dual of [4122, 4045, 36]-code) [i]✔
40Linear OA(6459, 4122, F64, 26) (dual of [4122, 4063, 27]-code) [i]✔
41Linear OA(6480, 4125, F64, 36) (dual of [4125, 4045, 37]-code) [i]✔
42Linear OA(6460, 4125, F64, 26) (dual of [4125, 4065, 27]-code) [i]✔
43Linear OA(6483, 4128, F64, 37) (dual of [4128, 4045, 38]-code) [i]✔
44Linear OA(6461, 4128, F64, 26) (dual of [4128, 4067, 27]-code) [i]✔
45Linear OA(6486, 4131, F64, 38) (dual of [4131, 4045, 39]-code) [i]✔
46Linear OA(6462, 4131, F64, 26) (dual of [4131, 4069, 27]-code) [i]✔
47Linear OA(6489, 4134, F64, 39) (dual of [4134, 4045, 40]-code) [i]✔
48Linear OA(6463, 4134, F64, 26) (dual of [4134, 4071, 27]-code) [i]✔
49Linear OOA(6451, 315, F64, 26, 26) (dual of [(315, 26), 8139, 27]-NRT-code) [i]OA Folding and Stacking