Information on Result #708063
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 = {−5,−4,…,24}, 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(4126, 1074, F4, 30) (dual of [1074, 948, 31]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(4125, 1067, F4, 30) (dual of [1067, 942, 31]-code) | [i] | ✔ | |
| 6 | Linear OA(4124, 1067, F4, 30) (dual of [1067, 943, 31]-code) | [i] | ✔ | |
| 7 | Linear OA(4122, 1060, F4, 30) (dual of [1060, 938, 31]-code) | [i] | ✔ | |
| 8 | Linear OA(4123, 1070, F4, 30) (dual of [1070, 947, 31]-code) | [i] | ✔ | |
| 9 | Linear OA(4122, 1064, F4, 30) (dual of [1064, 942, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(4121, 1063, F4, 30) (dual of [1063, 942, 31]-code) | [i] | ✔ | |
| 11 | Linear OA(4120, 1057, F4, 30) (dual of [1057, 937, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(4119, 1056, F4, 30) (dual of [1056, 937, 31]-code) | [i] | ✔ | |
| 13 | Linear OA(4123, 1055, F4, 31) (dual of [1055, 932, 32]-code) | [i] | ✔ | |
| 14 | Linear OA(4122, 1049, F4, 31) (dual of [1049, 927, 32]-code) | [i] | ✔ | |
| 15 | Linear OA(4132, 1065, F4, 32) (dual of [1065, 933, 33]-code) | [i] | ✔ | |
| 16 | Linear OA(4129, 1061, F4, 32) (dual of [1061, 932, 33]-code) | [i] | ✔ | |
| 17 | Linear OA(4128, 1055, F4, 32) (dual of [1055, 927, 33]-code) | [i] | ✔ | |
| 18 | Linear OA(4141, 1074, F4, 34) (dual of [1074, 933, 35]-code) | [i] | ✔ | |
| 19 | Linear OA(4140, 1067, F4, 34) (dual of [1067, 927, 35]-code) | [i] | ✔ | |
| 20 | Linear OA(4138, 1070, F4, 34) (dual of [1070, 932, 35]-code) | [i] | ✔ | |
| 21 | Linear OA(4137, 1064, F4, 34) (dual of [1064, 927, 35]-code) | [i] | ✔ | |
| 22 | Linear OA(4148, 1081, F4, 35) (dual of [1081, 933, 36]-code) | [i] | ✔ | |
| 23 | Linear OA(4145, 1077, F4, 35) (dual of [1077, 932, 36]-code) | [i] | ✔ | |
| 24 | Linear OA(4144, 1071, F4, 35) (dual of [1071, 927, 36]-code) | [i] | ✔ | |