Information on Result #707933
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 = {323,324,…,349}, 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, 1070, F4, 27) (dual of [1070, 955, 28]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(4114, 1068, F4, 27) (dual of [1068, 954, 28]-code) | [i] | ✔ | |
| 6 | Linear OA(4120, 1065, F4, 29) (dual of [1065, 945, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(4119, 1063, F4, 29) (dual of [1063, 944, 30]-code) | [i] | ✔ | |
| 8 | Linear OA(4127, 1072, F4, 30) (dual of [1072, 945, 31]-code) | [i] | ✔ | |
| 9 | Linear OA(4126, 1070, F4, 30) (dual of [1070, 944, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(4117, 1059, F4, 29) (dual of [1059, 942, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(4144, 1089, F4, 33) (dual of [1089, 945, 34]-code) | [i] | ✔ | |
| 12 | Linear OA(4143, 1087, F4, 33) (dual of [1087, 944, 34]-code) | [i] | ✔ | |
| 13 | Linear OA(4141, 1083, F4, 33) (dual of [1083, 942, 34]-code) | [i] | ✔ | |