Information on Result #613218

Linear OA(4205, 4096, F4, 46) (dual of [4096, 3891, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46

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(4228, 4120, F4, 46) (dual of [4120, 3892, 47]-code) [i](u, u+v)-Construction
2Linear OA(4233, 4126, F4, 46) (dual of [4126, 3893, 47]-code) [i]
3Linear OA(4234, 4128, F4, 46) (dual of [4128, 3894, 47]-code) [i]
4Linear OA(4235, 4130, F4, 46) (dual of [4130, 3895, 47]-code) [i]
5Linear OOA(4205, 3523, F4, 2, 46) (dual of [(3523, 2), 6841, 47]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
6Linear OOA(4205, 3523, F4, 3, 46) (dual of [(3523, 3), 10364, 47]-NRT-code) [i]
7Digital (159, 205, 3523)-net over F4 [i]
8Linear OA(4236, 4128, F4, 46) (dual of [4128, 3892, 47]-code) [i](u, u−v, u+v+w)-Construction
9Linear OA(4211, 4102, F4, 47) (dual of [4102, 3891, 48]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
10Linear OA(4205, 4102, F4, 46) (dual of [4102, 3897, 47]-code) [i]✔
11Linear OA(4218, 4109, F4, 48) (dual of [4109, 3891, 49]-code) [i]✔
12Linear OA(4220, 4111, F4, 49) (dual of [4111, 3891, 50]-code) [i]✔
13Linear OA(4208, 4111, F4, 46) (dual of [4111, 3903, 47]-code) [i]✔
14Linear OA(4227, 4113, F4, 50) (dual of [4113, 3886, 51]-code) [i]✔
15Linear OA(4228, 4119, F4, 50) (dual of [4119, 3891, 51]-code) [i]✔
16Linear OA(4209, 4113, F4, 46) (dual of [4113, 3904, 47]-code) [i]✔
17Linear OA(4210, 4119, F4, 46) (dual of [4119, 3909, 47]-code) [i]✔
18Linear OA(4236, 4127, F4, 51) (dual of [4127, 3891, 52]-code) [i]✔
19Linear OA(4212, 4127, F4, 46) (dual of [4127, 3915, 47]-code) [i]✔
20Linear OA(4248, 4139, F4, 53) (dual of [4139, 3891, 54]-code) [i]✔
21Linear OA(4245, 4136, F4, 52) (dual of [4136, 3891, 53]-code) [i]✔
22Linear OA(4218, 4139, F4, 46) (dual of [4139, 3921, 47]-code) [i]✔
23Linear OA(4257, 4148, F4, 54) (dual of [4148, 3891, 55]-code) [i]✔
24Linear OA(4221, 4148, F4, 46) (dual of [4148, 3927, 47]-code) [i]✔
25Linear OA(4223, 4156, F4, 46) (dual of [4156, 3933, 47]-code) [i]✔
26Linear OA(4231, 4170, F4, 46) (dual of [4170, 3939, 47]-code) [i]✔
27Linear OA(4234, 4179, F4, 46) (dual of [4179, 3945, 47]-code) [i]✔
28Linear OA(4237, 4186, F4, 46) (dual of [4186, 3949, 47]-code) [i]✔
29Linear OA(4244, 4132, F4, 52) (dual of [4132, 3888, 53]-code) [i]✔
30Linear OA(4227, 4163, F4, 46) (dual of [4163, 3936, 47]-code) [i]✔
31Linear OA(4228, 4166, F4, 46) (dual of [4166, 3938, 47]-code) [i]✔
32Linear OA(4229, 4168, F4, 46) (dual of [4168, 3939, 47]-code) [i]✔
33Linear OA(4233, 4178, F4, 46) (dual of [4178, 3945, 47]-code) [i]✔
34Linear OA(4243, 4129, F4, 52) (dual of [4129, 3886, 53]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
35Linear OA(4235, 4121, F4, 51) (dual of [4121, 3886, 52]-code) [i]✔
36Linear OA(4237, 4129, F4, 51) (dual of [4129, 3892, 52]-code) [i]✔
37Linear OA(4229, 4121, F4, 50) (dual of [4121, 3892, 51]-code) [i]✔
38Linear OA(4219, 4105, F4, 49) (dual of [4105, 3886, 50]-code) [i]✔
39Linear OA(4219, 4111, F4, 48) (dual of [4111, 3892, 49]-code) [i]✔
40Linear OA(4207, 4105, F4, 46) (dual of [4105, 3898, 47]-code) [i]✔
41Linear OA(4211, 4121, F4, 46) (dual of [4121, 3910, 47]-code) [i]✔
42Linear OA(4214, 4130, F4, 46) (dual of [4130, 3916, 47]-code) [i]✔