Information on Result #613265

Linear OA(4229, 4097, F4, 51) (dual of [4097, 3868, 52]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,25], and minimum distance d ≥ |{−25,−24,…,25}|+1 = 52 (BCH-bound)

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(4260, 4130, F4, 51) (dual of [4130, 3870, 52]-code) [i](u, u+v)-Construction
2Linear OA(4253, 4122, F4, 51) (dual of [4122, 3869, 52]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(4242, 4110, F4, 53) (dual of [4110, 3868, 54]-code) [i]✔
4Linear OA(4230, 4110, F4, 51) (dual of [4110, 3880, 52]-code) [i]✔
5Linear OA(4259, 4118, F4, 56) (dual of [4118, 3859, 57]-code) [i]✔
6Linear OA(4260, 4128, F4, 56) (dual of [4128, 3868, 57]-code) [i]✔
7Linear OA(4257, 4114, F4, 55) (dual of [4114, 3857, 56]-code) [i]✔
8Linear OA(4258, 4126, F4, 55) (dual of [4126, 3868, 56]-code) [i]✔
9Linear OA(4256, 4118, F4, 54) (dual of [4118, 3862, 55]-code) [i]✔
10Linear OA(4238, 4121, F4, 51) (dual of [4121, 3883, 52]-code) [i]✔
11Linear OA(4239, 4131, F4, 51) (dual of [4131, 3892, 52]-code) [i]✔
12Linear OA(4235, 4118, F4, 50) (dual of [4118, 3883, 51]-code) [i]✔
13Linear OA(4236, 4128, F4, 50) (dual of [4128, 3892, 51]-code) [i]✔
14Linear OA(4244, 4140, F4, 51) (dual of [4140, 3896, 52]-code) [i]✔
15Linear OA(4245, 4149, F4, 51) (dual of [4149, 3904, 52]-code) [i]✔
16Linear OA(4242, 4146, F4, 50) (dual of [4146, 3904, 51]-code) [i]✔
17Linear OA(4248, 4162, F4, 51) (dual of [4162, 3914, 52]-code) [i]✔
18Linear OA(4251, 4167, F4, 51) (dual of [4167, 3916, 52]-code) [i]✔
19Linear OA(4249, 4165, F4, 51) (dual of [4165, 3916, 52]-code) [i]✔