Information on Result #613149

Linear OA(4181, 4097, F4, 41) (dual of [4097, 3916, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (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(4180, 4096, F4, 40) (dual of [4096, 3916, 41]-code) [i]Truncation
2Linear OA(4206, 4124, F4, 41) (dual of [4124, 3918, 42]-code) [i](u, u+v)-Construction
3Linear OA(4207, 4126, F4, 41) (dual of [4126, 3919, 42]-code) [i]
4Linear OA(4208, 4128, F4, 41) (dual of [4128, 3920, 42]-code) [i]
5Linear OA(4188, 4126, F4, 41) (dual of [4126, 3938, 42]-code) [i]VarÅ¡amov–Edel Lengthening
6Linear OA(4189, 4143, F4, 41) (dual of [4143, 3954, 42]-code) [i]
7Linear OA(4190, 4168, F4, 41) (dual of [4168, 3978, 42]-code) [i]
8Linear OA(4191, 4207, F4, 41) (dual of [4207, 4016, 42]-code) [i]
9Linear OA(4192, 4263, F4, 41) (dual of [4263, 4071, 42]-code) [i]
10Linear OA(4193, 4341, F4, 41) (dual of [4341, 4148, 42]-code) [i]
11Linear OA(4194, 4444, F4, 41) (dual of [4444, 4250, 42]-code) [i]
12Linear OA(4195, 4571, F4, 41) (dual of [4571, 4376, 42]-code) [i]
13Linear OA(4196, 4716, F4, 41) (dual of [4716, 4520, 42]-code) [i]
14Linear OA(4197, 4875, F4, 41) (dual of [4875, 4678, 42]-code) [i]
15Linear OA(4198, 5043, F4, 41) (dual of [5043, 4845, 42]-code) [i]
16Linear OA(4201, 4118, F4, 41) (dual of [4118, 3917, 42]-code) [i]✔Construction X with Cyclic Codes
17Linear OA(4194, 4110, F4, 43) (dual of [4110, 3916, 44]-code) [i]✔
18Linear OA(4182, 4110, F4, 39) (dual of [4110, 3928, 40]-code) [i]✔
19Linear OA(4184, 4103, F4, 41) (dual of [4103, 3919, 42]-code) [i]✔
20Linear OA(4185, 4113, F4, 41) (dual of [4113, 3928, 42]-code) [i]✔
21Linear OA(4209, 4114, F4, 45) (dual of [4114, 3905, 46]-code) [i]✔
22Linear OA(4210, 4126, F4, 45) (dual of [4126, 3916, 46]-code) [i]✔
23Linear OA(4208, 4118, F4, 44) (dual of [4118, 3910, 45]-code) [i]✔
24Linear OA(4190, 4121, F4, 41) (dual of [4121, 3931, 42]-code) [i]✔
25Linear OA(4191, 4131, F4, 41) (dual of [4131, 3940, 42]-code) [i]✔
26Linear OA(4187, 4118, F4, 40) (dual of [4118, 3931, 41]-code) [i]✔
27Linear OA(4188, 4128, F4, 40) (dual of [4128, 3940, 41]-code) [i]✔
28Linear OA(4185, 4114, F4, 39) (dual of [4114, 3929, 40]-code) [i]✔
29Linear OA(4186, 4126, F4, 39) (dual of [4126, 3940, 40]-code) [i]✔
30Linear OA(4184, 4118, F4, 38) (dual of [4118, 3934, 39]-code) [i]✔
31Linear OA(4232, 4140, F4, 49) (dual of [4140, 3908, 50]-code) [i]✔
32Linear OA(4233, 4149, F4, 49) (dual of [4149, 3916, 50]-code) [i]✔
33Linear OA(4230, 4146, F4, 48) (dual of [4146, 3916, 49]-code) [i]✔
34Linear OA(4227, 4143, F4, 47) (dual of [4143, 3916, 48]-code) [i]✔
35Linear OA(4224, 4140, F4, 46) (dual of [4140, 3916, 47]-code) [i]✔
36Linear OA(4196, 4140, F4, 41) (dual of [4140, 3944, 42]-code) [i]✔
37Linear OA(4197, 4149, F4, 41) (dual of [4149, 3952, 42]-code) [i]✔
38Linear OA(4194, 4146, F4, 40) (dual of [4146, 3952, 41]-code) [i]✔
39Linear OA(4191, 4143, F4, 39) (dual of [4143, 3952, 40]-code) [i]✔
40Linear OA(4188, 4140, F4, 38) (dual of [4140, 3952, 39]-code) [i]✔
41Linear OA(4248, 4162, F4, 51) (dual of [4162, 3914, 52]-code) [i]✔
42Linear OA(4251, 4167, F4, 51) (dual of [4167, 3916, 52]-code) [i]✔
43Linear OA(4206, 4162, F4, 41) (dual of [4162, 3956, 42]-code) [i]✔
44Linear OA(4209, 4173, F4, 41) (dual of [4173, 3964, 42]-code) [i]✔
45Linear OA(4203, 4161, F4, 40) (dual of [4161, 3958, 41]-code) [i]✔
46Linear OA(4207, 4171, F4, 40) (dual of [4171, 3964, 41]-code) [i]✔
47Linear OA(4200, 4162, F4, 39) (dual of [4162, 3962, 40]-code) [i]✔
48Linear OA(4190, 4130, F4, 41) (dual of [4130, 3940, 42]-code) [i]✔
49Linear OA(4249, 4165, F4, 51) (dual of [4165, 3916, 52]-code) [i]✔
50Linear OA(4206, 4166, F4, 41) (dual of [4166, 3960, 42]-code) [i]✔
51Linear OA(4205, 4169, F4, 40) (dual of [4169, 3964, 41]-code) [i]✔