Information on Result #612932

Linear OA(4115, 4096, F4, 26) (dual of [4096, 3981, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26

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(4128, 4110, F4, 26) (dual of [4110, 3982, 27]-code) [i](u, u+v)-Construction
2Linear OA(4131, 4115, F4, 26) (dual of [4115, 3984, 27]-code) [i]
3Linear OA(4132, 4117, F4, 26) (dual of [4117, 3985, 27]-code) [i]
4Linear OOA(4115, 2347, F4, 2, 26) (dual of [(2347, 2), 4579, 27]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
5Linear OOA(4115, 2347, F4, 3, 26) (dual of [(2347, 3), 6926, 27]-NRT-code) [i]
6Digital (89, 115, 2347)-net over F4 [i]
7Linear OA(4132, 4114, F4, 26) (dual of [4114, 3982, 27]-code) [i](u, u−v, u+v+w)-Construction
8Linear OA(4121, 4102, F4, 27) (dual of [4102, 3981, 28]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
9Linear OA(4115, 4102, F4, 26) (dual of [4102, 3987, 27]-code) [i]✔
10Linear OA(4128, 4109, F4, 28) (dual of [4109, 3981, 29]-code) [i]✔
11Linear OA(4130, 4111, F4, 29) (dual of [4111, 3981, 30]-code) [i]✔
12Linear OA(4118, 4111, F4, 26) (dual of [4111, 3993, 27]-code) [i]✔
13Linear OA(4137, 4113, F4, 30) (dual of [4113, 3976, 31]-code) [i]✔
14Linear OA(4138, 4119, F4, 30) (dual of [4119, 3981, 31]-code) [i]✔
15Linear OA(4119, 4113, F4, 26) (dual of [4113, 3994, 27]-code) [i]✔
16Linear OA(4120, 4119, F4, 26) (dual of [4119, 3999, 27]-code) [i]✔
17Linear OA(4146, 4127, F4, 31) (dual of [4127, 3981, 32]-code) [i]✔
18Linear OA(4122, 4127, F4, 26) (dual of [4127, 4005, 27]-code) [i]✔
19Linear OA(4158, 4139, F4, 33) (dual of [4139, 3981, 34]-code) [i]✔
20Linear OA(4155, 4136, F4, 32) (dual of [4136, 3981, 33]-code) [i]✔
21Linear OA(4128, 4139, F4, 26) (dual of [4139, 4011, 27]-code) [i]✔
22Linear OA(4167, 4148, F4, 34) (dual of [4148, 3981, 35]-code) [i]✔
23Linear OA(4131, 4148, F4, 26) (dual of [4148, 4017, 27]-code) [i]✔
24Linear OA(4175, 4156, F4, 35) (dual of [4156, 3981, 36]-code) [i]✔
25Linear OA(4182, 4161, F4, 36) (dual of [4161, 3979, 37]-code) [i]✔
26Linear OA(4185, 4166, F4, 36) (dual of [4166, 3981, 37]-code) [i]✔
27Linear OA(4154, 4132, F4, 32) (dual of [4132, 3978, 33]-code) [i]✔
28Linear OA(4185, 4163, F4, 37) (dual of [4163, 3978, 38]-code) [i]✔
29Linear OA(4186, 4166, F4, 37) (dual of [4166, 3980, 38]-code) [i]✔
30Linear OA(4187, 4168, F4, 37) (dual of [4168, 3981, 38]-code) [i]✔
31Linear OA(4183, 4164, F4, 36) (dual of [4164, 3981, 37]-code) [i]✔
32Linear OA(4145, 4121, F4, 31) (dual of [4121, 3976, 32]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
33Linear OA(4147, 4129, F4, 31) (dual of [4129, 3982, 32]-code) [i]✔
34Linear OA(4139, 4121, F4, 30) (dual of [4121, 3982, 31]-code) [i]✔
35Linear OA(4129, 4105, F4, 29) (dual of [4105, 3976, 30]-code) [i]✔
36Linear OA(4129, 4111, F4, 28) (dual of [4111, 3982, 29]-code) [i]✔
37Linear OA(4117, 4105, F4, 26) (dual of [4105, 3988, 27]-code) [i]✔
38Linear OA(4121, 4121, F4, 26) (dual of [4121, 4000, 27]-code) [i]✔
39Linear OA(4124, 4130, F4, 26) (dual of [4130, 4006, 27]-code) [i]✔