Information on Result #715609
Linear OA(867, 511, F8, 26) (dual of [511, 444, 27]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {57,58,…,82}, and designed minimum distance d ≥ |I|+1 = 27
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(867, 413, F8, 2, 26) (dual of [(413, 2), 759, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(867, 413, F8, 3, 26) (dual of [(413, 3), 1172, 27]-NRT-code) | [i] | ||
| 3 | Digital (41, 67, 413)-net over F8 | [i] | ||
| 4 | Linear OA(8104, 565, F8, 32) (dual of [565, 461, 33]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(8102, 562, F8, 32) (dual of [562, 460, 33]-code) | [i] | ✔ | |
| 6 | Linear OA(8101, 560, F8, 32) (dual of [560, 459, 33]-code) | [i] | ✔ | |