Information on Result #679590

Linear OA(4121, 4096, F4, 27) (dual of [4096, 3975, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27

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(4121, 2613, F4, 2, 27) (dual of [(2613, 2), 5105, 28]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4121, 2613, F4, 3, 27) (dual of [(2613, 3), 7718, 28]-NRT-code) [i]
3Digital (94, 121, 2613)-net over F4 [i]
4Linear OA(4128, 4103, F4, 29) (dual of [4103, 3975, 30]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(4121, 4102, F4, 27) (dual of [4102, 3981, 28]-code) [i]✔
6Linear OA(4136, 4111, F4, 30) (dual of [4111, 3975, 31]-code) [i]✔
7Linear OA(4143, 4113, F4, 31) (dual of [4113, 3970, 32]-code) [i]✔
8Linear OA(4144, 4119, F4, 31) (dual of [4119, 3975, 32]-code) [i]✔
9Linear OA(4126, 4119, F4, 27) (dual of [4119, 3993, 28]-code) [i]✔
10Linear OA(4128, 4127, F4, 27) (dual of [4127, 3999, 28]-code) [i]✔
11Linear OA(4164, 4139, F4, 34) (dual of [4139, 3975, 35]-code) [i]✔
12Linear OA(4131, 4136, F4, 27) (dual of [4136, 4005, 28]-code) [i]✔
13Linear OA(4182, 4157, F4, 37) (dual of [4157, 3975, 38]-code) [i]✔
14Linear OA(4139, 4156, F4, 27) (dual of [4156, 4017, 28]-code) [i]✔
15Linear OA(4195, 4170, F4, 38) (dual of [4170, 3975, 39]-code) [i]✔
16Linear OA(4130, 4132, F4, 27) (dual of [4132, 4002, 28]-code) [i]✔
17Linear OA(4191, 4163, F4, 38) (dual of [4163, 3972, 39]-code) [i]✔
18Linear OA(4192, 4166, F4, 38) (dual of [4166, 3974, 39]-code) [i]✔
19Linear OA(4193, 4168, F4, 38) (dual of [4168, 3975, 39]-code) [i]✔
20Linear OA(4160, 4130, F4, 34) (dual of [4130, 3970, 35]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
21Linear OA(4154, 4126, F4, 33) (dual of [4126, 3972, 34]-code) [i]✔
22Linear OA(4153, 4124, F4, 33) (dual of [4124, 3971, 34]-code) [i]✔
23Linear OA(4152, 4122, F4, 33) (dual of [4122, 3970, 34]-code) [i]✔
24Linear OA(4143, 4114, F4, 31) (dual of [4114, 3971, 32]-code) [i]✔
25Linear OA(4142, 4112, F4, 31) (dual of [4112, 3970, 32]-code) [i]✔
26Linear OA(4145, 4121, F4, 31) (dual of [4121, 3976, 32]-code) [i]✔
27Linear OA(4135, 4105, F4, 30) (dual of [4105, 3970, 31]-code) [i]✔
28Linear OA(4129, 4105, F4, 29) (dual of [4105, 3976, 30]-code) [i]✔
29Linear OA(4125, 4114, F4, 27) (dual of [4114, 3989, 28]-code) [i]✔
30Linear OA(4127, 4121, F4, 27) (dual of [4121, 3994, 28]-code) [i]✔
31Linear OA(4129, 4129, F4, 27) (dual of [4129, 4000, 28]-code) [i]✔