Information on Result #612988

Linear OA(4133, 4096, F4, 30) (dual of [4096, 3963, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30

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(4148, 4112, F4, 30) (dual of [4112, 3964, 31]-code) [i](u, u+v)-Construction
2Linear OA(4151, 4117, F4, 30) (dual of [4117, 3966, 31]-code) [i]
3Linear OA(4152, 4119, F4, 30) (dual of [4119, 3967, 31]-code) [i]
4Linear OOA(4133, 2573, F4, 2, 30) (dual of [(2573, 2), 5013, 31]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
5Linear OOA(4133, 2573, F4, 3, 30) (dual of [(2573, 3), 7586, 31]-NRT-code) [i]
6Digital (103, 133, 2573)-net over F4 [i]
7Linear OA(4139, 4102, F4, 31) (dual of [4102, 3963, 32]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
8Linear OA(4133, 4102, F4, 30) (dual of [4102, 3969, 31]-code) [i]✔
9Linear OA(4146, 4109, F4, 32) (dual of [4109, 3963, 33]-code) [i]✔
10Linear OA(4148, 4111, F4, 33) (dual of [4111, 3963, 34]-code) [i]✔
11Linear OA(4136, 4111, F4, 30) (dual of [4111, 3975, 31]-code) [i]✔
12Linear OA(4155, 4113, F4, 34) (dual of [4113, 3958, 35]-code) [i]✔
13Linear OA(4156, 4119, F4, 34) (dual of [4119, 3963, 35]-code) [i]✔
14Linear OA(4137, 4113, F4, 30) (dual of [4113, 3976, 31]-code) [i]✔
15Linear OA(4138, 4119, F4, 30) (dual of [4119, 3981, 31]-code) [i]✔
16Linear OA(4164, 4127, F4, 35) (dual of [4127, 3963, 36]-code) [i]✔
17Linear OA(4140, 4127, F4, 30) (dual of [4127, 3987, 31]-code) [i]✔
18Linear OA(4176, 4139, F4, 37) (dual of [4139, 3963, 38]-code) [i]✔
19Linear OA(4173, 4136, F4, 36) (dual of [4136, 3963, 37]-code) [i]✔
20Linear OA(4146, 4139, F4, 30) (dual of [4139, 3993, 31]-code) [i]✔
21Linear OA(4185, 4148, F4, 38) (dual of [4148, 3963, 39]-code) [i]✔
22Linear OA(4149, 4148, F4, 30) (dual of [4148, 3999, 31]-code) [i]✔
23Linear OA(4193, 4156, F4, 39) (dual of [4156, 3963, 40]-code) [i]✔
24Linear OA(4151, 4156, F4, 30) (dual of [4156, 4005, 31]-code) [i]✔
25Linear OA(4207, 4170, F4, 41) (dual of [4170, 3963, 42]-code) [i]✔
26Linear OA(4200, 4161, F4, 40) (dual of [4161, 3961, 41]-code) [i]✔
27Linear OA(4203, 4166, F4, 40) (dual of [4166, 3963, 41]-code) [i]✔
28Linear OA(4216, 4179, F4, 42) (dual of [4179, 3963, 43]-code) [i]✔
29Linear OA(4172, 4132, F4, 36) (dual of [4132, 3960, 37]-code) [i]✔
30Linear OA(4203, 4163, F4, 41) (dual of [4163, 3960, 42]-code) [i]✔
31Linear OA(4204, 4166, F4, 41) (dual of [4166, 3962, 42]-code) [i]✔
32Linear OA(4205, 4168, F4, 41) (dual of [4168, 3963, 42]-code) [i]✔
33Linear OA(4201, 4164, F4, 40) (dual of [4164, 3963, 41]-code) [i]✔
34Linear OA(4215, 4178, F4, 42) (dual of [4178, 3963, 43]-code) [i]✔
35Linear OA(4171, 4129, F4, 36) (dual of [4129, 3958, 37]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
36Linear OA(4163, 4121, F4, 35) (dual of [4121, 3958, 36]-code) [i]✔
37Linear OA(4165, 4129, F4, 35) (dual of [4129, 3964, 36]-code) [i]✔
38Linear OA(4157, 4121, F4, 34) (dual of [4121, 3964, 35]-code) [i]✔
39Linear OA(4147, 4105, F4, 33) (dual of [4105, 3958, 34]-code) [i]✔
40Linear OA(4147, 4111, F4, 32) (dual of [4111, 3964, 33]-code) [i]✔
41Linear OA(4135, 4105, F4, 30) (dual of [4105, 3970, 31]-code) [i]✔
42Linear OA(4139, 4121, F4, 30) (dual of [4121, 3982, 31]-code) [i]✔
43Linear OA(4142, 4130, F4, 30) (dual of [4130, 3988, 31]-code) [i]✔