Information on Result #613289

Linear OA(4241, 4096, F4, 54) (dual of [4096, 3855, 55]-code), using an extension Ce(53) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,53], and designed minimum distance d ≥ |I|+1 = 54

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 OOA(4241, 4009, F4, 2, 54) (dual of [(4009, 2), 7777, 55]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4241, 4009, F4, 3, 54) (dual of [(4009, 3), 11786, 55]-NRT-code) [i]
3Digital (187, 241, 4009)-net over F4 [i]
4Linear OA(4247, 4102, F4, 55) (dual of [4102, 3855, 56]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(4241, 4102, F4, 54) (dual of [4102, 3861, 55]-code) [i]✔
6Linear OA(4254, 4109, F4, 56) (dual of [4109, 3855, 57]-code) [i]✔
7Linear OA(4256, 4111, F4, 57) (dual of [4111, 3855, 58]-code) [i]✔
8Linear OA(4244, 4111, F4, 54) (dual of [4111, 3867, 55]-code) [i]✔
9Linear OA(4245, 4113, F4, 54) (dual of [4113, 3868, 55]-code) [i]✔
10Linear OA(4246, 4119, F4, 54) (dual of [4119, 3873, 55]-code) [i]✔
11Linear OA(4248, 4127, F4, 54) (dual of [4127, 3879, 55]-code) [i]✔
12Linear OA(4254, 4139, F4, 54) (dual of [4139, 3885, 55]-code) [i]✔
13Linear OA(4257, 4148, F4, 54) (dual of [4148, 3891, 55]-code) [i]✔
14Linear OA(4259, 4156, F4, 54) (dual of [4156, 3897, 55]-code) [i]✔
15Linear OA(4255, 4105, F4, 57) (dual of [4105, 3850, 58]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
16Linear OA(4255, 4111, F4, 56) (dual of [4111, 3856, 57]-code) [i]✔
17Linear OA(4243, 4105, F4, 54) (dual of [4105, 3862, 55]-code) [i]✔
18Linear OA(4247, 4121, F4, 54) (dual of [4121, 3874, 55]-code) [i]✔
19Linear OA(4250, 4130, F4, 54) (dual of [4130, 3880, 55]-code) [i]✔