Information on Result #613079

Linear OA(4157, 4097, F4, 35) (dual of [4097, 3940, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (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(4178, 4120, F4, 35) (dual of [4120, 3942, 36]-code) [i](u, u+v)-Construction
2Linear OA(4179, 4122, F4, 35) (dual of [4122, 3943, 36]-code) [i]
3Linear OA(4180, 4124, F4, 35) (dual of [4124, 3944, 36]-code) [i]
4Linear OA(4173, 4114, F4, 35) (dual of [4114, 3941, 36]-code) [i]✔Construction X with Cyclic Codes
5Linear OA(4170, 4110, F4, 37) (dual of [4110, 3940, 38]-code) [i]✔
6Linear OA(4158, 4110, F4, 35) (dual of [4110, 3952, 36]-code) [i]✔
7Linear OA(4190, 4121, F4, 41) (dual of [4121, 3931, 42]-code) [i]✔
8Linear OA(4191, 4131, F4, 41) (dual of [4131, 3940, 42]-code) [i]✔
9Linear OA(4187, 4118, F4, 40) (dual of [4118, 3931, 41]-code) [i]✔
10Linear OA(4188, 4128, F4, 40) (dual of [4128, 3940, 41]-code) [i]✔
11Linear OA(4185, 4114, F4, 39) (dual of [4114, 3929, 40]-code) [i]✔
12Linear OA(4186, 4126, F4, 39) (dual of [4126, 3940, 40]-code) [i]✔
13Linear OA(4184, 4118, F4, 38) (dual of [4118, 3934, 39]-code) [i]✔
14Linear OA(4166, 4121, F4, 35) (dual of [4121, 3955, 36]-code) [i]✔
15Linear OA(4167, 4131, F4, 35) (dual of [4131, 3964, 36]-code) [i]✔
16Linear OA(4163, 4118, F4, 34) (dual of [4118, 3955, 35]-code) [i]✔
17Linear OA(4164, 4128, F4, 34) (dual of [4128, 3964, 35]-code) [i]✔
18Linear OA(4208, 4140, F4, 43) (dual of [4140, 3932, 44]-code) [i]✔
19Linear OA(4209, 4149, F4, 43) (dual of [4149, 3940, 44]-code) [i]✔
20Linear OA(4206, 4146, F4, 42) (dual of [4146, 3940, 43]-code) [i]✔
21Linear OA(4172, 4140, F4, 35) (dual of [4140, 3968, 36]-code) [i]✔
22Linear OA(4173, 4149, F4, 35) (dual of [4149, 3976, 36]-code) [i]✔
23Linear OA(4170, 4146, F4, 34) (dual of [4146, 3976, 35]-code) [i]✔
24Linear OA(4224, 4162, F4, 45) (dual of [4162, 3938, 46]-code) [i]✔
25Linear OA(4227, 4167, F4, 45) (dual of [4167, 3940, 46]-code) [i]✔
26Linear OA(4176, 4162, F4, 35) (dual of [4162, 3986, 36]-code) [i]✔
27Linear OA(4179, 4167, F4, 35) (dual of [4167, 3988, 36]-code) [i]✔
28Linear OA(4250, 4183, F4, 49) (dual of [4183, 3933, 50]-code) [i]✔
29Linear OA(4251, 4187, F4, 49) (dual of [4187, 3936, 50]-code) [i]✔
30Linear OA(4249, 4187, F4, 48) (dual of [4187, 3938, 49]-code) [i]✔
31Linear OA(4190, 4130, F4, 41) (dual of [4130, 3940, 42]-code) [i]✔
32Linear OA(4177, 4165, F4, 35) (dual of [4165, 3988, 36]-code) [i]✔