Information on Result #679569

Linear OA(4217, 4096, F4, 49) (dual of [4096, 3879, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49

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(4217, 3543, F4, 2, 49) (dual of [(3543, 2), 6869, 50]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4217, 3543, F4, 3, 49) (dual of [(3543, 3), 10412, 50]-NRT-code) [i]
3Digital (168, 217, 3543)-net over F4 [i]
4Linear OA(4223, 4102, F4, 50) (dual of [4102, 3879, 51]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(4218, 4103, F4, 49) (dual of [4103, 3885, 50]-code) [i]✔
6Linear OA(4218, 4109, F4, 48) (dual of [4109, 3891, 49]-code) [i]✔
7Linear OA(4220, 4111, F4, 49) (dual of [4111, 3891, 50]-code) [i]✔
8Linear OA(4239, 4113, F4, 53) (dual of [4113, 3874, 54]-code) [i]✔
9Linear OA(4240, 4119, F4, 53) (dual of [4119, 3879, 54]-code) [i]✔
10Linear OA(4238, 4117, F4, 52) (dual of [4117, 3879, 53]-code) [i]✔
11Linear OA(4222, 4119, F4, 49) (dual of [4119, 3897, 50]-code) [i]✔
12Linear OA(4220, 4117, F4, 48) (dual of [4117, 3897, 49]-code) [i]✔
13Linear OA(4248, 4127, F4, 54) (dual of [4127, 3879, 55]-code) [i]✔
14Linear OA(4257, 4136, F4, 55) (dual of [4136, 3879, 56]-code) [i]✔
15Linear OA(4230, 4139, F4, 49) (dual of [4139, 3909, 50]-code) [i]✔
16Linear OA(4227, 4136, F4, 48) (dual of [4136, 3909, 49]-code) [i]✔
17Linear OA(4236, 4157, F4, 49) (dual of [4157, 3921, 50]-code) [i]✔
18Linear OA(4243, 4170, F4, 49) (dual of [4170, 3927, 50]-code) [i]✔
19Linear OA(4236, 4161, F4, 48) (dual of [4161, 3925, 49]-code) [i]✔
20Linear OA(4239, 4166, F4, 48) (dual of [4166, 3927, 49]-code) [i]✔
21Linear OA(4246, 4179, F4, 49) (dual of [4179, 3933, 50]-code) [i]✔
22Linear OA(4243, 4176, F4, 48) (dual of [4176, 3933, 49]-code) [i]✔
23Linear OA(4256, 4132, F4, 55) (dual of [4132, 3876, 56]-code) [i]✔
24Linear OA(4226, 4132, F4, 48) (dual of [4132, 3906, 49]-code) [i]✔
25Linear OA(4239, 4163, F4, 49) (dual of [4163, 3924, 50]-code) [i]✔
26Linear OA(4240, 4166, F4, 49) (dual of [4166, 3926, 50]-code) [i]✔
27Linear OA(4241, 4168, F4, 49) (dual of [4168, 3927, 50]-code) [i]✔
28Linear OA(4237, 4164, F4, 48) (dual of [4164, 3927, 49]-code) [i]✔
29Linear OA(4241, 4170, F4, 48) (dual of [4170, 3929, 49]-code) [i]✔
30Linear OA(4245, 4178, F4, 49) (dual of [4178, 3933, 50]-code) [i]✔
31Linear OA(4255, 4129, F4, 55) (dual of [4129, 3874, 56]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
32Linear OA(4247, 4121, F4, 54) (dual of [4121, 3874, 55]-code) [i]✔
33Linear OA(4250, 4130, F4, 54) (dual of [4130, 3880, 55]-code) [i]✔
34Linear OA(4237, 4111, F4, 52) (dual of [4111, 3874, 53]-code) [i]✔
35Linear OA(4244, 4126, F4, 53) (dual of [4126, 3882, 54]-code) [i]✔
36Linear OA(4243, 4124, F4, 53) (dual of [4124, 3881, 54]-code) [i]✔
37Linear OA(4242, 4122, F4, 53) (dual of [4122, 3880, 54]-code) [i]✔
38Linear OA(4233, 4114, F4, 51) (dual of [4114, 3881, 52]-code) [i]✔
39Linear OA(4225, 4105, F4, 50) (dual of [4105, 3880, 51]-code) [i]✔
40Linear OA(4219, 4105, F4, 49) (dual of [4105, 3886, 50]-code) [i]✔
41Linear OA(4219, 4111, F4, 48) (dual of [4111, 3892, 49]-code) [i]✔
42Linear OA(4226, 4126, F4, 49) (dual of [4126, 3900, 50]-code) [i]✔
43Linear OA(4225, 4124, F4, 49) (dual of [4124, 3899, 50]-code) [i]✔
44Linear OA(4224, 4122, F4, 49) (dual of [4122, 3898, 50]-code) [i]✔
45Linear OOA(4217, 2048, F4, 2, 49) (dual of [(2048, 2), 3879, 50]-NRT-code) [i]OOA Folding
46Linear OOA(4217, 1365, F4, 3, 49) (dual of [(1365, 3), 3878, 50]-NRT-code) [i]