Information on Result #708239
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 = {−5,−4,…,28}, 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(4141, 1074, F4, 34) (dual of [1074, 933, 35]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(4140, 1067, F4, 34) (dual of [1067, 927, 35]-code) | [i] | ✔ | |
| 6 | Linear OA(4139, 1067, F4, 34) (dual of [1067, 928, 35]-code) | [i] | ✔ | |
| 7 | Linear OA(4137, 1060, F4, 34) (dual of [1060, 923, 35]-code) | [i] | ✔ | |
| 8 | Linear OA(4138, 1070, F4, 34) (dual of [1070, 932, 35]-code) | [i] | ✔ | |
| 9 | Linear OA(4137, 1064, F4, 34) (dual of [1064, 927, 35]-code) | [i] | ✔ | |
| 10 | Linear OA(4136, 1063, F4, 34) (dual of [1063, 927, 35]-code) | [i] | ✔ | |
| 11 | Linear OA(4135, 1057, F4, 34) (dual of [1057, 922, 35]-code) | [i] | ✔ | |
| 12 | Linear OA(4134, 1056, F4, 34) (dual of [1056, 922, 35]-code) | [i] | ✔ | |
| 13 | Linear OA(4138, 1055, F4, 35) (dual of [1055, 917, 36]-code) | [i] | ✔ | |
| 14 | Linear OA(4137, 1049, F4, 35) (dual of [1049, 912, 36]-code) | [i] | ✔ | |
| 15 | Linear OA(4147, 1065, F4, 36) (dual of [1065, 918, 37]-code) | [i] | ✔ | |
| 16 | Linear OA(4144, 1061, F4, 36) (dual of [1061, 917, 37]-code) | [i] | ✔ | |
| 17 | Linear OA(4143, 1055, F4, 36) (dual of [1055, 912, 37]-code) | [i] | ✔ | |
| 18 | Linear OA(4156, 1074, F4, 38) (dual of [1074, 918, 39]-code) | [i] | ✔ | |
| 19 | Linear OA(4155, 1067, F4, 38) (dual of [1067, 912, 39]-code) | [i] | ✔ | |
| 20 | Linear OA(4153, 1070, F4, 38) (dual of [1070, 917, 39]-code) | [i] | ✔ | |
| 21 | Linear OA(4152, 1064, F4, 38) (dual of [1064, 912, 39]-code) | [i] | ✔ | |
| 22 | Linear OA(4163, 1081, F4, 39) (dual of [1081, 918, 40]-code) | [i] | ✔ | |
| 23 | Linear OA(4160, 1077, F4, 39) (dual of [1077, 917, 40]-code) | [i] | ✔ | |
| 24 | Linear OA(4159, 1071, F4, 39) (dual of [1071, 912, 40]-code) | [i] | ✔ | |