Information on Result #612908

Linear OA(4109, 4097, F4, 25) (dual of [4097, 3988, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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(4108, 4096, F4, 24) (dual of [4096, 3988, 25]-code) [i]Truncation
2Linear OA(4124, 4115, F4, 25) (dual of [4115, 3991, 26]-code) [i](u, u+v)-Construction
3Linear OA(4125, 4117, F4, 25) (dual of [4117, 3992, 26]-code) [i]
4Linear OA(4118, 4135, F4, 25) (dual of [4135, 4017, 26]-code) [i]VarÅ¡amov–Edel Lengthening
5Linear OA(4119, 4155, F4, 25) (dual of [4155, 4036, 26]-code) [i]
6Linear OA(4120, 4186, F4, 25) (dual of [4186, 4066, 26]-code) [i]
7Linear OA(4121, 4230, F4, 25) (dual of [4230, 4109, 26]-code) [i]
8Linear OA(4122, 4293, F4, 25) (dual of [4293, 4171, 26]-code) [i]
9Linear OA(4123, 4381, F4, 25) (dual of [4381, 4258, 26]-code) [i]
10Linear OA(4124, 4500, F4, 25) (dual of [4500, 4376, 26]-code) [i]
11Linear OA(4125, 4655, F4, 25) (dual of [4655, 4530, 26]-code) [i]
12Linear OA(4121, 4110, F4, 25) (dual of [4110, 3989, 26]-code) [i]✔Construction X with Cyclic Codes
13Linear OA(4122, 4110, F4, 27) (dual of [4110, 3988, 28]-code) [i]✔
14Linear OA(4110, 4110, F4, 23) (dual of [4110, 4000, 24]-code) [i]✔
15Linear OA(4112, 4103, F4, 25) (dual of [4103, 3991, 26]-code) [i]✔
16Linear OA(4113, 4113, F4, 25) (dual of [4113, 4000, 26]-code) [i]✔
17Linear OA(4137, 4114, F4, 29) (dual of [4114, 3977, 30]-code) [i]✔
18Linear OA(4138, 4126, F4, 29) (dual of [4126, 3988, 30]-code) [i]✔
19Linear OA(4136, 4118, F4, 28) (dual of [4118, 3982, 29]-code) [i]✔
20Linear OA(4118, 4121, F4, 25) (dual of [4121, 4003, 26]-code) [i]✔
21Linear OA(4119, 4131, F4, 25) (dual of [4131, 4012, 26]-code) [i]✔
22Linear OA(4115, 4118, F4, 24) (dual of [4118, 4003, 25]-code) [i]✔
23Linear OA(4116, 4128, F4, 24) (dual of [4128, 4012, 25]-code) [i]✔
24Linear OA(4113, 4114, F4, 23) (dual of [4114, 4001, 24]-code) [i]✔
25Linear OA(4114, 4126, F4, 23) (dual of [4126, 4012, 24]-code) [i]✔
26Linear OA(4160, 4140, F4, 33) (dual of [4140, 3980, 34]-code) [i]✔
27Linear OA(4161, 4149, F4, 33) (dual of [4149, 3988, 34]-code) [i]✔
28Linear OA(4158, 4146, F4, 32) (dual of [4146, 3988, 33]-code) [i]✔
29Linear OA(4155, 4143, F4, 31) (dual of [4143, 3988, 32]-code) [i]✔
30Linear OA(4152, 4140, F4, 30) (dual of [4140, 3988, 31]-code) [i]✔
31Linear OA(4124, 4140, F4, 25) (dual of [4140, 4016, 26]-code) [i]✔
32Linear OA(4125, 4149, F4, 25) (dual of [4149, 4024, 26]-code) [i]✔
33Linear OA(4122, 4146, F4, 24) (dual of [4146, 4024, 25]-code) [i]✔
34Linear OA(4176, 4162, F4, 35) (dual of [4162, 3986, 36]-code) [i]✔
35Linear OA(4179, 4167, F4, 35) (dual of [4167, 3988, 36]-code) [i]✔
36Linear OA(4118, 4130, F4, 25) (dual of [4130, 4012, 26]-code) [i]✔
37Linear OA(4177, 4165, F4, 35) (dual of [4165, 3988, 36]-code) [i]✔