Information on Result #618822

Linear OA(6439, 4096, F64, 20) (dual of [4096, 4057, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20

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(878, 8192, F8, 20) (dual of [8192, 8114, 21]-code) [i]Trace Code
2Linear OA(6449, 4161, F64, 20) (dual of [4161, 4112, 21]-code) [i](u, u+v)-Construction
3Linear OA(6450, 4176, F64, 20) (dual of [4176, 4126, 21]-code) [i]
4Linear OA(6451, 4178, F64, 20) (dual of [4178, 4127, 21]-code) [i]
5Linear OA(6452, 4200, F64, 20) (dual of [4200, 4148, 21]-code) [i]
6Linear OA(6453, 4202, F64, 20) (dual of [4202, 4149, 21]-code) [i]
7Linear OA(6454, 4224, F64, 20) (dual of [4224, 4170, 21]-code) [i]
8Linear OA(6455, 4291, F64, 20) (dual of [4291, 4236, 21]-code) [i]
9Linear OA(6454, 4226, F64, 20) (dual of [4226, 4172, 21]-code) [i]
10Linear OA(6456, 4114, F64, 20) (dual of [4114, 4058, 21]-code) [i]Generalized (u, u+v)-Construction
11Linear OA(6452, 4110, F64, 20) (dual of [4110, 4058, 21]-code) [i](u, u−v, u+v+w)-Construction
12Linear OA(6453, 4112, F64, 20) (dual of [4112, 4059, 21]-code) [i]
13Linear OA(6454, 4114, F64, 20) (dual of [4114, 4060, 21]-code) [i]
14Linear OA(6455, 4226, F64, 20) (dual of [4226, 4171, 21]-code) [i]
15Linear OA(6456, 4241, F64, 20) (dual of [4241, 4185, 21]-code) [i]
16Linear OA(6441, 4098, F64, 21) (dual of [4098, 4057, 22]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
17Linear OA(6439, 4098, F64, 20) (dual of [4098, 4059, 21]-code) [i]✔
18Linear OA(6444, 4101, F64, 22) (dual of [4101, 4057, 23]-code) [i]✔
19Linear OA(6440, 4101, F64, 20) (dual of [4101, 4061, 21]-code) [i]✔
20Linear OA(6447, 4104, F64, 23) (dual of [4104, 4057, 24]-code) [i]✔
21Linear OA(6441, 4104, F64, 20) (dual of [4104, 4063, 21]-code) [i]✔
22Linear OA(6450, 4107, F64, 24) (dual of [4107, 4057, 25]-code) [i]✔
23Linear OA(6442, 4107, F64, 20) (dual of [4107, 4065, 21]-code) [i]✔
24Linear OA(6453, 4110, F64, 25) (dual of [4110, 4057, 26]-code) [i]✔
25Linear OA(6443, 4110, F64, 20) (dual of [4110, 4067, 21]-code) [i]✔
26Linear OA(6456, 4113, F64, 26) (dual of [4113, 4057, 27]-code) [i]✔
27Linear OA(6444, 4113, F64, 20) (dual of [4113, 4069, 21]-code) [i]✔
28Linear OA(6459, 4116, F64, 27) (dual of [4116, 4057, 28]-code) [i]✔
29Linear OA(6445, 4116, F64, 20) (dual of [4116, 4071, 21]-code) [i]✔
30Linear OA(6462, 4119, F64, 28) (dual of [4119, 4057, 29]-code) [i]✔
31Linear OA(6446, 4119, F64, 20) (dual of [4119, 4073, 21]-code) [i]✔
32Linear OA(6465, 4122, F64, 29) (dual of [4122, 4057, 30]-code) [i]✔
33Linear OA(6447, 4122, F64, 20) (dual of [4122, 4075, 21]-code) [i]✔
34Linear OA(6468, 4125, F64, 30) (dual of [4125, 4057, 31]-code) [i]✔
35Linear OA(6448, 4125, F64, 20) (dual of [4125, 4077, 21]-code) [i]✔
36Linear OA(6471, 4128, F64, 31) (dual of [4128, 4057, 32]-code) [i]✔
37Linear OA(6474, 4131, F64, 32) (dual of [4131, 4057, 33]-code) [i]✔
38Linear OA(6477, 4134, F64, 33) (dual of [4134, 4057, 34]-code) [i]✔
39Linear OA(6480, 4137, F64, 34) (dual of [4137, 4057, 35]-code) [i]✔
40Linear OA(6483, 4140, F64, 35) (dual of [4140, 4057, 36]-code) [i]✔
41Linear OA(6486, 4143, F64, 36) (dual of [4143, 4057, 37]-code) [i]✔
42Linear OA(6489, 4146, F64, 37) (dual of [4146, 4057, 38]-code) [i]✔
43Linear OOA(6439, 409, F64, 20, 20) (dual of [(409, 20), 8141, 21]-NRT-code) [i]OA Folding and Stacking