Information on Result #618723

Linear OA(6415, 4096, F64, 8) (dual of [4096, 4081, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8

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(830, 8192, F8, 8) (dual of [8192, 8162, 9]-code) [i]Trace Code
2Linear OA(6464, 266241, F64, 17) (dual of [266241, 266177, 18]-code) [i](u, u+v)-Construction
3Linear OA(6419, 4161, F64, 8) (dual of [4161, 4142, 9]-code) [i]
4Linear OA(6420, 4176, F64, 8) (dual of [4176, 4156, 9]-code) [i]
5Linear OA(6417, 4098, F64, 9) (dual of [4098, 4081, 10]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
6Linear OA(6415, 4098, F64, 8) (dual of [4098, 4083, 9]-code) [i]✔
7Linear OA(6420, 4101, F64, 10) (dual of [4101, 4081, 11]-code) [i]✔
8Linear OA(6416, 4101, F64, 8) (dual of [4101, 4085, 9]-code) [i]✔
9Linear OA(6423, 4104, F64, 11) (dual of [4104, 4081, 12]-code) [i]✔
10Linear OA(6417, 4104, F64, 8) (dual of [4104, 4087, 9]-code) [i]✔
11Linear OA(6426, 4107, F64, 12) (dual of [4107, 4081, 13]-code) [i]✔
12Linear OA(6418, 4107, F64, 8) (dual of [4107, 4089, 9]-code) [i]✔
13Linear OA(6429, 4110, F64, 13) (dual of [4110, 4081, 14]-code) [i]✔
14Linear OA(6432, 4113, F64, 14) (dual of [4113, 4081, 15]-code) [i]✔
15Linear OA(6435, 4116, F64, 15) (dual of [4116, 4081, 16]-code) [i]✔
16Linear OA(6438, 4119, F64, 16) (dual of [4119, 4081, 17]-code) [i]✔
17Linear OOA(6415, 1024, F64, 8, 8) (dual of [(1024, 8), 8177, 9]-NRT-code) [i]OA Folding and Stacking