Information on Result #708044
Linear OA(4111, 1023, F4, 30) (dual of [1023, 912, 31]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {313,314,…,342}, and designed minimum distance d ≥ |I|+1 = 31
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(4111, 852, F4, 2, 30) (dual of [(852, 2), 1593, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4111, 852, F4, 3, 30) (dual of [(852, 3), 2445, 31]-NRT-code) | [i] | ||
| 3 | Digital (81, 111, 852)-net over F4 | [i] | ||
| 4 | Linear OA(4125, 1066, F4, 30) (dual of [1066, 941, 31]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(4124, 1064, F4, 30) (dual of [1064, 940, 31]-code) | [i] | ✔ | |
| 6 | Linear OA(4123, 1062, F4, 30) (dual of [1062, 939, 31]-code) | [i] | ✔ | |
| 7 | Linear OA(4121, 1058, F4, 30) (dual of [1058, 937, 31]-code) | [i] | ✔ | |
| 8 | Linear OA(4117, 1050, F4, 30) (dual of [1050, 933, 31]-code) | [i] | ✔ | |
| 9 | Linear OA(4114, 1041, F4, 30) (dual of [1041, 927, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(4113, 1033, F4, 30) (dual of [1033, 920, 31]-code) | [i] | ✔ | |
| 11 | Linear OA(4112, 1034, F4, 30) (dual of [1034, 922, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(4125, 1042, F4, 33) (dual of [1042, 917, 34]-code) | [i] | ✔ | |
| 13 | Linear OA(4159, 1089, F4, 37) (dual of [1089, 930, 38]-code) | [i] | ✔ | |
| 14 | Linear OA(4158, 1087, F4, 37) (dual of [1087, 929, 38]-code) | [i] | ✔ | |
| 15 | Linear OA(4132, 1050, F4, 34) (dual of [1050, 918, 35]-code) | [i] | ✔ | |
| 16 | Linear OA(4154, 1079, F4, 37) (dual of [1079, 925, 38]-code) | [i] | ✔ | |
| 17 | Linear OA(4153, 1077, F4, 37) (dual of [1077, 924, 38]-code) | [i] | ✔ | |
| 18 | Linear OA(4152, 1072, F4, 37) (dual of [1072, 920, 38]-code) | [i] | ✔ | |
| 19 | Linear OA(4151, 1070, F4, 37) (dual of [1070, 919, 38]-code) | [i] | ✔ | |
| 20 | Linear OA(4150, 1065, F4, 37) (dual of [1065, 915, 38]-code) | [i] | ✔ | |
| 21 | Linear OA(4149, 1063, F4, 37) (dual of [1063, 914, 38]-code) | [i] | ✔ | |
| 22 | Linear OA(4135, 1047, F4, 35) (dual of [1047, 912, 36]-code) | [i] | ✔ | |
| 23 | Linear OA(4134, 1039, F4, 35) (dual of [1039, 905, 36]-code) | [i] | ✔ | |
| 24 | Linear OA(4142, 1054, F4, 36) (dual of [1054, 912, 37]-code) | [i] | ✔ | |
| 25 | Linear OA(4141, 1051, F4, 36) (dual of [1051, 910, 37]-code) | [i] | ✔ | |
| 26 | Linear OA(4160, 1070, F4, 39) (dual of [1070, 910, 40]-code) | [i] | ✔ | |
| 27 | Linear OA(4159, 1068, F4, 39) (dual of [1068, 909, 40]-code) | [i] | ✔ | |
| 28 | Linear OA(4169, 1079, F4, 41) (dual of [1079, 910, 42]-code) | [i] | ✔ | |
| 29 | Linear OA(4168, 1077, F4, 41) (dual of [1077, 909, 42]-code) | [i] | ✔ | |
| 30 | Linear OA(4176, 1086, F4, 42) (dual of [1086, 910, 43]-code) | [i] | ✔ | |
| 31 | Linear OA(4175, 1084, F4, 42) (dual of [1084, 909, 43]-code) | [i] | ✔ | |