Information on Result #715341
Linear OA(846, 511, F8, 17) (dual of [511, 465, 18]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {59,60,…,75}, and designed minimum distance d ≥ |I|+1 = 18
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 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(846, 462, F8, 2, 17) (dual of [(462, 2), 878, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(846, 462, F8, 3, 17) (dual of [(462, 3), 1340, 18]-NRT-code) | [i] | ||
| 3 | Digital (29, 46, 462)-net over F8 | [i] | ||
| 4 | Linear OA(855, 526, F8, 20) (dual of [526, 471, 21]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(878, 553, F8, 24) (dual of [553, 475, 25]-code) | [i] | ✔ | |
| 6 | Linear OA(872, 537, F8, 25) (dual of [537, 465, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(876, 541, F8, 26) (dual of [541, 465, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(881, 546, F8, 27) (dual of [546, 465, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(886, 551, F8, 28) (dual of [551, 465, 29]-code) | [i] | ✔ | |
| 10 | Linear OA(890, 555, F8, 29) (dual of [555, 465, 30]-code) | [i] | ✔ | |