Information on Result #708395
Linear OA(4141, 1023, F4, 38) (dual of [1023, 882, 39]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {305,306,…,342}, and designed minimum distance d ≥ |I|+1 = 39
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
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4141, 1018, F4, 2, 38) (dual of [(1018, 2), 1895, 39]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4141, 1018, F4, 3, 38) (dual of [(1018, 3), 2913, 39]-NRT-code) | [i] | ||
| 3 | Digital (103, 141, 1018)-net over F4 | [i] | ||
| 4 | Linear OA(4155, 1066, F4, 38) (dual of [1066, 911, 39]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(4154, 1064, F4, 38) (dual of [1064, 910, 39]-code) | [i] | ✔ | |
| 6 | Linear OA(4153, 1062, F4, 38) (dual of [1062, 909, 39]-code) | [i] | ✔ | |
| 7 | Linear OA(4151, 1058, F4, 38) (dual of [1058, 907, 39]-code) | [i] | ✔ | |
| 8 | Linear OA(4147, 1050, F4, 38) (dual of [1050, 903, 39]-code) | [i] | ✔ | |
| 9 | Linear OA(4144, 1041, F4, 38) (dual of [1041, 897, 39]-code) | [i] | ✔ | |
| 10 | Linear OA(4143, 1033, F4, 38) (dual of [1033, 890, 39]-code) | [i] | ✔ | |
| 11 | Linear OA(4142, 1034, F4, 38) (dual of [1034, 892, 39]-code) | [i] | ✔ | |
| 12 | Linear OA(4155, 1042, F4, 41) (dual of [1042, 887, 42]-code) | [i] | ✔ | |
| 13 | Linear OA(4189, 1089, F4, 45) (dual of [1089, 900, 46]-code) | [i] | ✔ | |
| 14 | Linear OA(4188, 1087, F4, 45) (dual of [1087, 899, 46]-code) | [i] | ✔ | |
| 15 | Linear OA(4162, 1050, F4, 42) (dual of [1050, 888, 43]-code) | [i] | ✔ | |
| 16 | Linear OA(4184, 1079, F4, 45) (dual of [1079, 895, 46]-code) | [i] | ✔ | |
| 17 | Linear OA(4183, 1077, F4, 45) (dual of [1077, 894, 46]-code) | [i] | ✔ | |
| 18 | Linear OA(4182, 1072, F4, 45) (dual of [1072, 890, 46]-code) | [i] | ✔ | |
| 19 | Linear OA(4181, 1070, F4, 45) (dual of [1070, 889, 46]-code) | [i] | ✔ | |
| 20 | Linear OA(4180, 1065, F4, 45) (dual of [1065, 885, 46]-code) | [i] | ✔ | |
| 21 | Linear OA(4179, 1063, F4, 45) (dual of [1063, 884, 46]-code) | [i] | ✔ | |
| 22 | Linear OA(4165, 1047, F4, 43) (dual of [1047, 882, 44]-code) | [i] | ✔ | |
| 23 | Linear OA(4164, 1039, F4, 43) (dual of [1039, 875, 44]-code) | [i] | ✔ | |
| 24 | Linear OA(4172, 1054, F4, 44) (dual of [1054, 882, 45]-code) | [i] | ✔ | |
| 25 | Linear OA(4171, 1051, F4, 44) (dual of [1051, 880, 45]-code) | [i] | ✔ | |
| 26 | Linear OA(4190, 1070, F4, 47) (dual of [1070, 880, 48]-code) | [i] | ✔ | |
| 27 | Linear OA(4189, 1068, F4, 47) (dual of [1068, 879, 48]-code) | [i] | ✔ | |
| 28 | Linear OA(4199, 1079, F4, 49) (dual of [1079, 880, 50]-code) | [i] | ✔ | |
| 29 | Linear OA(4198, 1077, F4, 49) (dual of [1077, 879, 50]-code) | [i] | ✔ | |
| 30 | Linear OA(4206, 1086, F4, 50) (dual of [1086, 880, 51]-code) | [i] | ✔ | |
| 31 | Linear OA(4205, 1084, F4, 50) (dual of [1084, 879, 51]-code) | [i] | ✔ | |