Information on Result #715571
Linear OA(876, 511, F8, 29) (dual of [511, 435, 30]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {47,48,…,75}, and designed minimum distance d ≥ |I|+1 = 30
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(876, 489, F8, 2, 29) (dual of [(489, 2), 902, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(876, 489, F8, 3, 29) (dual of [(489, 3), 1391, 30]-NRT-code) | [i] | ||
| 3 | Digital (47, 76, 489)-net over F8 | [i] | ||
| 4 | Linear OA(885, 542, F8, 29) (dual of [542, 457, 30]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(884, 540, F8, 29) (dual of [540, 456, 30]-code) | [i] | ✔ | |
| 6 | Linear OA(8105, 555, F8, 35) (dual of [555, 450, 36]-code) | [i] | ✔ | |
| 7 | Linear OA(8104, 551, F8, 35) (dual of [551, 447, 36]-code) | [i] | ✔ | |
| 8 | Linear OA(8102, 546, F8, 35) (dual of [546, 444, 36]-code) | [i] | ✔ | |
| 9 | Linear OA(8100, 542, F8, 35) (dual of [542, 442, 36]-code) | [i] | ✔ | |
| 10 | Linear OA(899, 540, F8, 35) (dual of [540, 441, 36]-code) | [i] | ✔ | |
| 11 | Linear OA(8110, 545, F8, 38) (dual of [545, 435, 39]-code) | [i] | ✔ | |
| 12 | Linear OA(8120, 553, F8, 40) (dual of [553, 433, 41]-code) | [i] | ✔ | |
| 13 | Linear OA(8120, 555, F8, 41) (dual of [555, 435, 42]-code) | [i] | ✔ | |