Information on Result #707929
Linear OA(4101, 1023, F4, 27) (dual of [1023, 922, 28]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {316,317,…,342}, and designed minimum distance d ≥ |I|+1 = 28
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]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4101, 850, F4, 2, 27) (dual of [(850, 2), 1599, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4101, 850, F4, 3, 27) (dual of [(850, 3), 2449, 28]-NRT-code) | [i] | ||
| 3 | Digital (74, 101, 850)-net over F4 | [i] | ||
| 4 | Linear OA(4115, 1066, F4, 27) (dual of [1066, 951, 28]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(4114, 1064, F4, 27) (dual of [1064, 950, 28]-code) | [i] | ✔ | |
| 6 | Linear OA(4113, 1062, F4, 27) (dual of [1062, 949, 28]-code) | [i] | ✔ | |
| 7 | Linear OA(4104, 1041, F4, 27) (dual of [1041, 937, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(4114, 1041, F4, 30) (dual of [1041, 927, 31]-code) | [i] | ✔ | |
| 9 | Linear OA(4113, 1033, F4, 30) (dual of [1033, 920, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(4146, 1086, F4, 34) (dual of [1086, 940, 35]-code) | [i] | ✔ | |
| 11 | Linear OA(4145, 1084, F4, 34) (dual of [1084, 939, 35]-code) | [i] | ✔ | |
| 12 | Linear OA(4144, 1079, F4, 34) (dual of [1079, 935, 35]-code) | [i] | ✔ | |
| 13 | Linear OA(4143, 1077, F4, 34) (dual of [1077, 934, 35]-code) | [i] | ✔ | |
| 14 | Linear OA(4142, 1072, F4, 34) (dual of [1072, 930, 35]-code) | [i] | ✔ | |
| 15 | Linear OA(4141, 1070, F4, 34) (dual of [1070, 929, 35]-code) | [i] | ✔ | |
| 16 | Linear OA(4140, 1066, F4, 34) (dual of [1066, 926, 35]-code) | [i] | ✔ | |
| 17 | Linear OA(4139, 1064, F4, 34) (dual of [1064, 925, 35]-code) | [i] | ✔ | |
| 18 | Linear OA(4138, 1062, F4, 34) (dual of [1062, 924, 35]-code) | [i] | ✔ | |
| 19 | Linear OA(4152, 1072, F4, 37) (dual of [1072, 920, 38]-code) | [i] | ✔ | |
| 20 | Linear OA(4151, 1070, F4, 37) (dual of [1070, 919, 38]-code) | [i] | ✔ | |
| 21 | Linear OA(4159, 1079, F4, 38) (dual of [1079, 920, 39]-code) | [i] | ✔ | |
| 22 | Linear OA(4158, 1077, F4, 38) (dual of [1077, 919, 39]-code) | [i] | ✔ | |
| 23 | Linear OA(4166, 1086, F4, 39) (dual of [1086, 920, 40]-code) | [i] | ✔ | |
| 24 | Linear OA(4165, 1084, F4, 39) (dual of [1084, 919, 40]-code) | [i] | ✔ | |