Information on Result #708217
Linear OA(4126, 1023, F4, 34) (dual of [1023, 897, 35]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {309,310,…,342}, and designed minimum distance d ≥ |I|+1 = 35
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(4126, 935, F4, 2, 34) (dual of [(935, 2), 1744, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4126, 935, F4, 3, 34) (dual of [(935, 3), 2679, 35]-NRT-code) | [i] | ||
| 3 | Digital (92, 126, 935)-net over F4 | [i] | ||
| 4 | Linear OA(4140, 1066, F4, 34) (dual of [1066, 926, 35]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(4139, 1064, F4, 34) (dual of [1064, 925, 35]-code) | [i] | ✔ | |
| 6 | Linear OA(4138, 1062, F4, 34) (dual of [1062, 924, 35]-code) | [i] | ✔ | |
| 7 | Linear OA(4136, 1058, F4, 34) (dual of [1058, 922, 35]-code) | [i] | ✔ | |
| 8 | Linear OA(4132, 1050, F4, 34) (dual of [1050, 918, 35]-code) | [i] | ✔ | |
| 9 | Linear OA(4129, 1041, F4, 34) (dual of [1041, 912, 35]-code) | [i] | ✔ | |
| 10 | Linear OA(4128, 1033, F4, 34) (dual of [1033, 905, 35]-code) | [i] | ✔ | |
| 11 | Linear OA(4127, 1034, F4, 34) (dual of [1034, 907, 35]-code) | [i] | ✔ | |
| 12 | Linear OA(4140, 1042, F4, 37) (dual of [1042, 902, 38]-code) | [i] | ✔ | |
| 13 | Linear OA(4174, 1089, F4, 41) (dual of [1089, 915, 42]-code) | [i] | ✔ | |
| 14 | Linear OA(4173, 1087, F4, 41) (dual of [1087, 914, 42]-code) | [i] | ✔ | |
| 15 | Linear OA(4147, 1050, F4, 38) (dual of [1050, 903, 39]-code) | [i] | ✔ | |
| 16 | Linear OA(4169, 1079, F4, 41) (dual of [1079, 910, 42]-code) | [i] | ✔ | |
| 17 | Linear OA(4168, 1077, F4, 41) (dual of [1077, 909, 42]-code) | [i] | ✔ | |
| 18 | Linear OA(4167, 1072, F4, 41) (dual of [1072, 905, 42]-code) | [i] | ✔ | |
| 19 | Linear OA(4166, 1070, F4, 41) (dual of [1070, 904, 42]-code) | [i] | ✔ | |
| 20 | Linear OA(4165, 1065, F4, 41) (dual of [1065, 900, 42]-code) | [i] | ✔ | |
| 21 | Linear OA(4164, 1063, F4, 41) (dual of [1063, 899, 42]-code) | [i] | ✔ | |
| 22 | Linear OA(4150, 1047, F4, 39) (dual of [1047, 897, 40]-code) | [i] | ✔ | |
| 23 | Linear OA(4149, 1039, F4, 39) (dual of [1039, 890, 40]-code) | [i] | ✔ | |
| 24 | Linear OA(4157, 1054, F4, 40) (dual of [1054, 897, 41]-code) | [i] | ✔ | |
| 25 | Linear OA(4156, 1051, F4, 40) (dual of [1051, 895, 41]-code) | [i] | ✔ | |
| 26 | Linear OA(4175, 1070, F4, 43) (dual of [1070, 895, 44]-code) | [i] | ✔ | |
| 27 | Linear OA(4174, 1068, F4, 43) (dual of [1068, 894, 44]-code) | [i] | ✔ | |
| 28 | Linear OA(4184, 1079, F4, 45) (dual of [1079, 895, 46]-code) | [i] | ✔ | |
| 29 | Linear OA(4183, 1077, F4, 45) (dual of [1077, 894, 46]-code) | [i] | ✔ | |
| 30 | Linear OA(4191, 1086, F4, 46) (dual of [1086, 895, 47]-code) | [i] | ✔ | |
| 31 | Linear OA(4190, 1084, F4, 46) (dual of [1084, 894, 47]-code) | [i] | ✔ | |