Information on Result #618788

Linear OA(6431, 4096, F64, 16) (dual of [4096, 4065, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16

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(862, 8192, F8, 16) (dual of [8192, 8130, 17]-code) [i]Trace Code
2Linear OA(6439, 4161, F64, 16) (dual of [4161, 4122, 17]-code) [i](u, u+v)-Construction
3Linear OA(6440, 4176, F64, 16) (dual of [4176, 4136, 17]-code) [i]
4Linear OA(6441, 4178, F64, 16) (dual of [4178, 4137, 17]-code) [i]
5Linear OA(6442, 4200, F64, 16) (dual of [4200, 4158, 17]-code) [i]
6Linear OA(6443, 4224, F64, 16) (dual of [4224, 4181, 17]-code) [i]
7Linear OA(6444, 4291, F64, 16) (dual of [4291, 4247, 17]-code) [i]
8Linear OA(6443, 4226, F64, 16) (dual of [4226, 4183, 17]-code) [i]
9Linear OA(6442, 4108, F64, 16) (dual of [4108, 4066, 17]-code) [i](u, u−v, u+v+w)-Construction
10Linear OA(6443, 4110, F64, 16) (dual of [4110, 4067, 17]-code) [i]
11Linear OA(6444, 4226, F64, 16) (dual of [4226, 4182, 17]-code) [i]
12Linear OA(6433, 4098, F64, 17) (dual of [4098, 4065, 18]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
13Linear OA(6431, 4098, F64, 16) (dual of [4098, 4067, 17]-code) [i]✔
14Linear OA(6436, 4101, F64, 18) (dual of [4101, 4065, 19]-code) [i]✔
15Linear OA(6432, 4101, F64, 16) (dual of [4101, 4069, 17]-code) [i]✔
16Linear OA(6439, 4104, F64, 19) (dual of [4104, 4065, 20]-code) [i]✔
17Linear OA(6433, 4104, F64, 16) (dual of [4104, 4071, 17]-code) [i]✔
18Linear OA(6442, 4107, F64, 20) (dual of [4107, 4065, 21]-code) [i]✔
19Linear OA(6434, 4107, F64, 16) (dual of [4107, 4073, 17]-code) [i]✔
20Linear OA(6445, 4110, F64, 21) (dual of [4110, 4065, 22]-code) [i]✔
21Linear OA(6435, 4110, F64, 16) (dual of [4110, 4075, 17]-code) [i]✔
22Linear OA(6448, 4113, F64, 22) (dual of [4113, 4065, 23]-code) [i]✔
23Linear OA(6436, 4113, F64, 16) (dual of [4113, 4077, 17]-code) [i]✔
24Linear OA(6451, 4116, F64, 23) (dual of [4116, 4065, 24]-code) [i]✔
25Linear OA(6437, 4116, F64, 16) (dual of [4116, 4079, 17]-code) [i]✔
26Linear OA(6454, 4119, F64, 24) (dual of [4119, 4065, 25]-code) [i]✔
27Linear OA(6438, 4119, F64, 16) (dual of [4119, 4081, 17]-code) [i]✔
28Linear OA(6457, 4122, F64, 25) (dual of [4122, 4065, 26]-code) [i]✔
29Linear OA(6460, 4125, F64, 26) (dual of [4125, 4065, 27]-code) [i]✔
30Linear OA(6463, 4128, F64, 27) (dual of [4128, 4065, 28]-code) [i]✔
31Linear OA(6466, 4131, F64, 28) (dual of [4131, 4065, 29]-code) [i]✔
32Linear OA(6469, 4134, F64, 29) (dual of [4134, 4065, 30]-code) [i]✔
33Linear OA(6472, 4137, F64, 30) (dual of [4137, 4065, 31]-code) [i]✔
34Linear OA(6475, 4140, F64, 31) (dual of [4140, 4065, 32]-code) [i]✔
35Linear OA(6478, 4143, F64, 32) (dual of [4143, 4065, 33]-code) [i]✔
36Linear OOA(6431, 512, F64, 16, 16) (dual of [(512, 16), 8161, 17]-NRT-code) [i]OA Folding and Stacking