Information on Result #679585

Linear OA(4145, 4096, F4, 33) (dual of [4096, 3951, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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 OOA(4145, 2567, F4, 2, 33) (dual of [(2567, 2), 4989, 34]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4145, 2567, F4, 3, 33) (dual of [(2567, 3), 7556, 34]-NRT-code) [i]
3Digital (112, 145, 2567)-net over F4 [i]
4Linear OA(4151, 4102, F4, 34) (dual of [4102, 3951, 35]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(4146, 4103, F4, 33) (dual of [4103, 3957, 34]-code) [i]✔
6Linear OA(4146, 4109, F4, 32) (dual of [4109, 3963, 33]-code) [i]✔
7Linear OA(4148, 4111, F4, 33) (dual of [4111, 3963, 34]-code) [i]✔
8Linear OA(4167, 4113, F4, 37) (dual of [4113, 3946, 38]-code) [i]✔
9Linear OA(4168, 4119, F4, 37) (dual of [4119, 3951, 38]-code) [i]✔
10Linear OA(4166, 4117, F4, 36) (dual of [4117, 3951, 37]-code) [i]✔
11Linear OA(4150, 4119, F4, 33) (dual of [4119, 3969, 34]-code) [i]✔
12Linear OA(4148, 4117, F4, 32) (dual of [4117, 3969, 33]-code) [i]✔
13Linear OA(4176, 4127, F4, 38) (dual of [4127, 3951, 39]-code) [i]✔
14Linear OA(4185, 4136, F4, 39) (dual of [4136, 3951, 40]-code) [i]✔
15Linear OA(4158, 4139, F4, 33) (dual of [4139, 3981, 34]-code) [i]✔
16Linear OA(4155, 4136, F4, 32) (dual of [4136, 3981, 33]-code) [i]✔
17Linear OA(4205, 4156, F4, 42) (dual of [4156, 3951, 43]-code) [i]✔
18Linear OA(4164, 4157, F4, 33) (dual of [4157, 3993, 34]-code) [i]✔
19Linear OA(4164, 4161, F4, 32) (dual of [4161, 3997, 33]-code) [i]✔
20Linear OA(4228, 4179, F4, 45) (dual of [4179, 3951, 46]-code) [i]✔
21Linear OA(4225, 4176, F4, 44) (dual of [4176, 3951, 45]-code) [i]✔
22Linear OA(4237, 4186, F4, 46) (dual of [4186, 3949, 47]-code) [i]✔
23Linear OA(4184, 4132, F4, 39) (dual of [4132, 3948, 40]-code) [i]✔
24Linear OA(4154, 4132, F4, 32) (dual of [4132, 3978, 33]-code) [i]✔
25Linear OA(4167, 4163, F4, 33) (dual of [4163, 3996, 34]-code) [i]✔
26Linear OA(4165, 4164, F4, 32) (dual of [4164, 3999, 33]-code) [i]✔
27Linear OA(4223, 4170, F4, 44) (dual of [4170, 3947, 45]-code) [i]✔
28Linear OA(4227, 4178, F4, 45) (dual of [4178, 3951, 46]-code) [i]✔
29Linear OA(4183, 4129, F4, 39) (dual of [4129, 3946, 40]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
30Linear OA(4175, 4121, F4, 38) (dual of [4121, 3946, 39]-code) [i]✔
31Linear OA(4178, 4130, F4, 38) (dual of [4130, 3952, 39]-code) [i]✔
32Linear OA(4165, 4111, F4, 36) (dual of [4111, 3946, 37]-code) [i]✔
33Linear OA(4172, 4126, F4, 37) (dual of [4126, 3954, 38]-code) [i]✔
34Linear OA(4171, 4124, F4, 37) (dual of [4124, 3953, 38]-code) [i]✔
35Linear OA(4170, 4122, F4, 37) (dual of [4122, 3952, 38]-code) [i]✔
36Linear OA(4161, 4114, F4, 35) (dual of [4114, 3953, 36]-code) [i]✔
37Linear OA(4153, 4105, F4, 34) (dual of [4105, 3952, 35]-code) [i]✔
38Linear OA(4147, 4105, F4, 33) (dual of [4105, 3958, 34]-code) [i]✔
39Linear OA(4147, 4111, F4, 32) (dual of [4111, 3964, 33]-code) [i]✔
40Linear OA(4154, 4126, F4, 33) (dual of [4126, 3972, 34]-code) [i]✔
41Linear OA(4153, 4124, F4, 33) (dual of [4124, 3971, 34]-code) [i]✔
42Linear OA(4152, 4122, F4, 33) (dual of [4122, 3970, 34]-code) [i]✔
43Linear OOA(4145, 2048, F4, 2, 33) (dual of [(2048, 2), 3951, 34]-NRT-code) [i]OOA Folding
44Linear OOA(4145, 1365, F4, 3, 33) (dual of [(1365, 3), 3950, 34]-NRT-code) [i]