Information on Result #613180

Linear OA(4193, 4097, F4, 43) (dual of [4097, 3904, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (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(4219, 4125, F4, 43) (dual of [4125, 3906, 44]-code) [i](u, u+v)-Construction
2Linear OA(4220, 4127, F4, 43) (dual of [4127, 3907, 44]-code) [i]
3Linear OA(4221, 4129, F4, 43) (dual of [4129, 3908, 44]-code) [i]
4Linear OA(4213, 4118, F4, 43) (dual of [4118, 3905, 44]-code) [i]✔Construction X with Cyclic Codes
5Linear OA(4206, 4110, F4, 45) (dual of [4110, 3904, 46]-code) [i]✔
6Linear OA(4194, 4110, F4, 43) (dual of [4110, 3916, 44]-code) [i]✔
7Linear OA(4226, 4121, F4, 49) (dual of [4121, 3895, 50]-code) [i]✔
8Linear OA(4227, 4131, F4, 49) (dual of [4131, 3904, 50]-code) [i]✔
9Linear OA(4223, 4118, F4, 48) (dual of [4118, 3895, 49]-code) [i]✔
10Linear OA(4224, 4128, F4, 48) (dual of [4128, 3904, 49]-code) [i]✔
11Linear OA(4221, 4114, F4, 47) (dual of [4114, 3893, 48]-code) [i]✔
12Linear OA(4222, 4126, F4, 47) (dual of [4126, 3904, 48]-code) [i]✔
13Linear OA(4220, 4118, F4, 46) (dual of [4118, 3898, 47]-code) [i]✔
14Linear OA(4202, 4121, F4, 43) (dual of [4121, 3919, 44]-code) [i]✔
15Linear OA(4203, 4131, F4, 43) (dual of [4131, 3928, 44]-code) [i]✔
16Linear OA(4199, 4118, F4, 42) (dual of [4118, 3919, 43]-code) [i]✔
17Linear OA(4200, 4128, F4, 42) (dual of [4128, 3928, 43]-code) [i]✔
18Linear OA(4244, 4140, F4, 51) (dual of [4140, 3896, 52]-code) [i]✔
19Linear OA(4245, 4149, F4, 51) (dual of [4149, 3904, 52]-code) [i]✔
20Linear OA(4242, 4146, F4, 50) (dual of [4146, 3904, 51]-code) [i]✔
21Linear OA(4208, 4140, F4, 43) (dual of [4140, 3932, 44]-code) [i]✔
22Linear OA(4209, 4149, F4, 43) (dual of [4149, 3940, 44]-code) [i]✔
23Linear OA(4206, 4146, F4, 42) (dual of [4146, 3940, 43]-code) [i]✔
24Linear OA(4260, 4162, F4, 53) (dual of [4162, 3902, 54]-code) [i]✔
25Linear OA(4212, 4162, F4, 43) (dual of [4162, 3950, 44]-code) [i]✔
26Linear OA(4215, 4167, F4, 43) (dual of [4167, 3952, 44]-code) [i]✔
27Linear OA(4226, 4130, F4, 49) (dual of [4130, 3904, 50]-code) [i]✔
28Linear OA(4213, 4165, F4, 43) (dual of [4165, 3952, 44]-code) [i]✔