Information on Result #715216
Linear OA(861, 511, F8, 23) (dual of [511, 450, 24]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−8,−7,…,14}, and designed minimum distance d ≥ |I|+1 = 24
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 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(861, 460, F8, 2, 23) (dual of [(460, 2), 859, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(861, 460, F8, 3, 23) (dual of [(460, 3), 1319, 24]-NRT-code) | [i] | ||
| 3 | Digital (38, 61, 460)-net over F8 | [i] | ||
| 4 | Linear OA(875, 551, F8, 23) (dual of [551, 476, 24]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(875, 552, F8, 23) (dual of [552, 477, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(874, 548, F8, 23) (dual of [548, 474, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(878, 549, F8, 25) (dual of [549, 471, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(876, 547, F8, 24) (dual of [547, 471, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(882, 553, F8, 26) (dual of [553, 471, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(887, 558, F8, 27) (dual of [558, 471, 28]-code) | [i] | ✔ | |