Information on Result #613177

Linear OA(4161, 1025, F4, 43) (dual of [1025, 864, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, 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(4181, 1046, F4, 43) (dual of [1046, 865, 44]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(4172, 1036, F4, 45) (dual of [1036, 864, 46]-code) [i]✔
3Linear OA(4162, 1036, F4, 43) (dual of [1036, 874, 44]-code) [i]✔
4Linear OA(4190, 1049, F4, 49) (dual of [1049, 859, 50]-code) [i]✔
5Linear OA(4191, 1055, F4, 49) (dual of [1055, 864, 50]-code) [i]✔
6Linear OA(4187, 1046, F4, 48) (dual of [1046, 859, 49]-code) [i]✔
7Linear OA(4188, 1052, F4, 48) (dual of [1052, 864, 49]-code) [i]✔
8Linear OA(4185, 1042, F4, 47) (dual of [1042, 857, 48]-code) [i]✔
9Linear OA(4186, 1050, F4, 47) (dual of [1050, 864, 48]-code) [i]✔
10Linear OA(4184, 1046, F4, 46) (dual of [1046, 862, 47]-code) [i]✔
11Linear OA(4170, 1049, F4, 43) (dual of [1049, 879, 44]-code) [i]✔
12Linear OA(4171, 1055, F4, 43) (dual of [1055, 884, 44]-code) [i]✔
13Linear OA(4167, 1046, F4, 42) (dual of [1046, 879, 43]-code) [i]✔
14Linear OA(4168, 1052, F4, 42) (dual of [1052, 884, 43]-code) [i]✔
15Linear OA(4204, 1059, F4, 51) (dual of [1059, 855, 52]-code) [i]✔
16Linear OA(4205, 1062, F4, 51) (dual of [1062, 857, 52]-code) [i]✔
17Linear OA(4206, 1068, F4, 51) (dual of [1068, 862, 52]-code) [i]✔
18Linear OA(4207, 1071, F4, 51) (dual of [1071, 864, 52]-code) [i]✔
19Linear OA(4203, 1059, F4, 50) (dual of [1059, 856, 51]-code) [i]✔
20Linear OA(4204, 1068, F4, 50) (dual of [1068, 864, 51]-code) [i]✔
21Linear OA(4174, 1059, F4, 43) (dual of [1059, 885, 44]-code) [i]✔
22Linear OA(4175, 1062, F4, 43) (dual of [1062, 887, 44]-code) [i]✔
23Linear OA(4176, 1068, F4, 43) (dual of [1068, 892, 44]-code) [i]✔
24Linear OA(4177, 1071, F4, 43) (dual of [1071, 894, 44]-code) [i]✔
25Linear OA(4173, 1059, F4, 42) (dual of [1059, 886, 43]-code) [i]✔
26Linear OA(4174, 1068, F4, 42) (dual of [1068, 894, 43]-code) [i]✔
27Linear OA(4220, 1084, F4, 53) (dual of [1084, 864, 54]-code) [i]✔
28Linear OA(4180, 1084, F4, 43) (dual of [1084, 904, 44]-code) [i]✔
29Linear OA(4243, 1101, F4, 57) (dual of [1101, 858, 58]-code) [i]✔
30Linear OA(4244, 1108, F4, 57) (dual of [1108, 864, 58]-code) [i]✔
31Linear OA(4241, 1101, F4, 56) (dual of [1101, 860, 57]-code) [i]✔
32Linear OA(4239, 1101, F4, 55) (dual of [1101, 862, 56]-code) [i]✔
33Linear OA(4240, 1104, F4, 55) (dual of [1104, 864, 56]-code) [i]✔
34Linear OA(4233, 1089, F4, 54) (dual of [1089, 856, 55]-code) [i]✔
35Linear OA(4243, 1102, F4, 57) (dual of [1102, 859, 58]-code) [i]✔
36Linear OA(4203, 1061, F4, 50) (dual of [1061, 858, 51]-code) [i]✔Construction XX with a Chain of Cyclic Codes
37Linear OA(4202, 1059, F4, 50) (dual of [1059, 857, 51]-code) [i]✔
38Linear OA(4189, 1046, F4, 49) (dual of [1046, 857, 50]-code) [i]✔
39Linear OA(4193, 1061, F4, 48) (dual of [1061, 868, 49]-code) [i]✔
40Linear OA(4192, 1059, F4, 48) (dual of [1059, 867, 49]-code) [i]✔
41Linear OA(4190, 1057, F4, 47) (dual of [1057, 867, 48]-code) [i]✔
42Linear OA(4168, 1045, F4, 43) (dual of [1045, 877, 44]-code) [i]✔
43Linear OA(4173, 1061, F4, 42) (dual of [1061, 888, 43]-code) [i]✔
44Linear OA(4172, 1059, F4, 42) (dual of [1059, 887, 43]-code) [i]✔