Information on Result #613247

Linear OA(4217, 4097, F4, 49) (dual of [4097, 3880, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound)

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(4216, 4096, F4, 48) (dual of [4096, 3880, 49]-code) [i]Truncation
2Linear OA(4247, 4129, F4, 49) (dual of [4129, 3882, 50]-code) [i](u, u+v)-Construction
3Linear OA(4248, 4131, F4, 49) (dual of [4131, 3883, 50]-code) [i]
4Linear OA(4250, 4134, F4, 49) (dual of [4134, 3884, 50]-code) [i]
5Linear OA(4222, 4120, F4, 49) (dual of [4120, 3898, 50]-code) [i]VarÅ¡amov–Edel Lengthening
6Linear OA(4223, 4141, F4, 49) (dual of [4141, 3918, 50]-code) [i]
7Linear OA(4224, 4177, F4, 49) (dual of [4177, 3953, 50]-code) [i]
8Linear OA(4225, 4237, F4, 49) (dual of [4237, 4012, 50]-code) [i]
9Linear OA(4226, 4322, F4, 49) (dual of [4322, 4096, 50]-code) [i]
10Linear OA(4227, 4429, F4, 49) (dual of [4429, 4202, 50]-code) [i]
11Linear OA(4228, 4551, F4, 49) (dual of [4551, 4323, 50]-code) [i]
12Linear OA(4229, 4681, F4, 49) (dual of [4681, 4452, 50]-code) [i]
13Linear OA(4230, 4817, F4, 49) (dual of [4817, 4587, 50]-code) [i]
14Linear OA(4241, 4122, F4, 49) (dual of [4122, 3881, 50]-code) [i]✔Construction X with Cyclic Codes
15Linear OA(4230, 4110, F4, 51) (dual of [4110, 3880, 52]-code) [i]✔
16Linear OA(4218, 4110, F4, 47) (dual of [4110, 3892, 48]-code) [i]✔
17Linear OA(4220, 4103, F4, 49) (dual of [4103, 3883, 50]-code) [i]✔
18Linear OA(4221, 4113, F4, 49) (dual of [4113, 3892, 50]-code) [i]✔
19Linear OA(4245, 4114, F4, 53) (dual of [4114, 3869, 54]-code) [i]✔
20Linear OA(4246, 4126, F4, 53) (dual of [4126, 3880, 54]-code) [i]✔
21Linear OA(4244, 4118, F4, 52) (dual of [4118, 3874, 53]-code) [i]✔
22Linear OA(4226, 4121, F4, 49) (dual of [4121, 3895, 50]-code) [i]✔
23Linear OA(4227, 4131, F4, 49) (dual of [4131, 3904, 50]-code) [i]✔
24Linear OA(4223, 4118, F4, 48) (dual of [4118, 3895, 49]-code) [i]✔
25Linear OA(4224, 4128, F4, 48) (dual of [4128, 3904, 49]-code) [i]✔
26Linear OA(4221, 4114, F4, 47) (dual of [4114, 3893, 48]-code) [i]✔
27Linear OA(4222, 4126, F4, 47) (dual of [4126, 3904, 48]-code) [i]✔
28Linear OA(4220, 4118, F4, 46) (dual of [4118, 3898, 47]-code) [i]✔
29Linear OA(4260, 4140, F4, 54) (dual of [4140, 3880, 55]-code) [i]✔
30Linear OA(4232, 4140, F4, 49) (dual of [4140, 3908, 50]-code) [i]✔
31Linear OA(4233, 4149, F4, 49) (dual of [4149, 3916, 50]-code) [i]✔
32Linear OA(4230, 4146, F4, 48) (dual of [4146, 3916, 49]-code) [i]✔
33Linear OA(4227, 4143, F4, 47) (dual of [4143, 3916, 48]-code) [i]✔
34Linear OA(4224, 4140, F4, 46) (dual of [4140, 3916, 47]-code) [i]✔
35Linear OA(4242, 4162, F4, 49) (dual of [4162, 3920, 50]-code) [i]✔
36Linear OA(4245, 4173, F4, 49) (dual of [4173, 3928, 50]-code) [i]✔
37Linear OA(4239, 4161, F4, 48) (dual of [4161, 3922, 49]-code) [i]✔
38Linear OA(4243, 4171, F4, 48) (dual of [4171, 3928, 49]-code) [i]✔
39Linear OA(4236, 4162, F4, 47) (dual of [4162, 3926, 48]-code) [i]✔
40Linear OA(4239, 4167, F4, 47) (dual of [4167, 3928, 48]-code) [i]✔
41Linear OA(4250, 4183, F4, 49) (dual of [4183, 3933, 50]-code) [i]✔
42Linear OA(4251, 4187, F4, 49) (dual of [4187, 3936, 50]-code) [i]✔
43Linear OA(4249, 4187, F4, 48) (dual of [4187, 3938, 49]-code) [i]✔
44Linear OA(4226, 4130, F4, 49) (dual of [4130, 3904, 50]-code) [i]✔
45Linear OA(4242, 4166, F4, 49) (dual of [4166, 3924, 50]-code) [i]✔
46Linear OA(4241, 4169, F4, 48) (dual of [4169, 3928, 49]-code) [i]✔