Information on Result #613228

Linear OA(4211, 4096, F4, 47) (dual of [4096, 3885, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47

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(4234, 4120, F4, 47) (dual of [4120, 3886, 48]-code) [i](u, u+v)-Construction
2Linear OA(4239, 4126, F4, 47) (dual of [4126, 3887, 48]-code) [i]
3Linear OA(4240, 4128, F4, 47) (dual of [4128, 3888, 48]-code) [i]
4Linear OA(4241, 4130, F4, 47) (dual of [4130, 3889, 48]-code) [i]
5Linear OOA(4211, 3755, F4, 2, 47) (dual of [(3755, 2), 7299, 48]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
6Linear OOA(4211, 3755, F4, 3, 47) (dual of [(3755, 3), 11054, 48]-NRT-code) [i]
7Digital (164, 211, 3755)-net over F4 [i]
8Linear OA(4242, 4128, F4, 47) (dual of [4128, 3886, 48]-code) [i](u, u−v, u+v+w)-Construction
9Linear OA(4218, 4103, F4, 49) (dual of [4103, 3885, 50]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
10Linear OA(4211, 4102, F4, 47) (dual of [4102, 3891, 48]-code) [i]✔
11Linear OA(4226, 4111, F4, 50) (dual of [4111, 3885, 51]-code) [i]✔
12Linear OA(4212, 4109, F4, 47) (dual of [4109, 3897, 48]-code) [i]✔
13Linear OA(4234, 4119, F4, 51) (dual of [4119, 3885, 52]-code) [i]✔
14Linear OA(4215, 4113, F4, 47) (dual of [4113, 3898, 48]-code) [i]✔
15Linear OA(4216, 4119, F4, 47) (dual of [4119, 3903, 48]-code) [i]✔
16Linear OA(4245, 4130, F4, 53) (dual of [4130, 3885, 54]-code) [i]✔
17Linear OA(4242, 4127, F4, 52) (dual of [4127, 3885, 53]-code) [i]✔
18Linear OA(4218, 4127, F4, 47) (dual of [4127, 3909, 48]-code) [i]✔
19Linear OA(4254, 4139, F4, 54) (dual of [4139, 3885, 55]-code) [i]✔
20Linear OA(4221, 4136, F4, 47) (dual of [4136, 3915, 48]-code) [i]✔
21Linear OA(4227, 4148, F4, 47) (dual of [4148, 3921, 48]-code) [i]✔
22Linear OA(4229, 4156, F4, 47) (dual of [4156, 3927, 48]-code) [i]✔
23Linear OA(4230, 4161, F4, 47) (dual of [4161, 3931, 48]-code) [i]✔
24Linear OA(4233, 4166, F4, 47) (dual of [4166, 3933, 48]-code) [i]✔
25Linear OA(4240, 4179, F4, 47) (dual of [4179, 3939, 48]-code) [i]✔
26Linear OA(4243, 4186, F4, 47) (dual of [4186, 3943, 48]-code) [i]✔
27Linear OA(4244, 4129, F4, 53) (dual of [4129, 3885, 54]-code) [i]✔
28Linear OA(4220, 4132, F4, 47) (dual of [4132, 3912, 48]-code) [i]✔
29Linear OA(4231, 4164, F4, 47) (dual of [4164, 3933, 48]-code) [i]✔
30Linear OA(4239, 4178, F4, 47) (dual of [4178, 3939, 48]-code) [i]✔
31Linear OA(4250, 4130, F4, 54) (dual of [4130, 3880, 55]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
32Linear OA(4244, 4126, F4, 53) (dual of [4126, 3882, 54]-code) [i]✔
33Linear OA(4243, 4124, F4, 53) (dual of [4124, 3881, 54]-code) [i]✔
34Linear OA(4242, 4122, F4, 53) (dual of [4122, 3880, 54]-code) [i]✔
35Linear OA(4243, 4129, F4, 52) (dual of [4129, 3886, 53]-code) [i]✔
36Linear OA(4233, 4114, F4, 51) (dual of [4114, 3881, 52]-code) [i]✔
37Linear OA(4235, 4121, F4, 51) (dual of [4121, 3886, 52]-code) [i]✔
38Linear OA(4225, 4105, F4, 50) (dual of [4105, 3880, 51]-code) [i]✔
39Linear OA(4219, 4105, F4, 49) (dual of [4105, 3886, 50]-code) [i]✔
40Linear OA(4215, 4114, F4, 47) (dual of [4114, 3899, 48]-code) [i]✔
41Linear OA(4214, 4112, F4, 47) (dual of [4112, 3898, 48]-code) [i]✔
42Linear OA(4217, 4121, F4, 47) (dual of [4121, 3904, 48]-code) [i]✔
43Linear OA(4219, 4129, F4, 47) (dual of [4129, 3910, 48]-code) [i]✔