Information on Result #715371
Linear OA(858, 511, F8, 22) (dual of [511, 453, 23]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−3,−2,…,18}, and designed minimum distance d ≥ |I|+1 = 23
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]
- 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 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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(858, 434, F8, 2, 22) (dual of [(434, 2), 810, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(858, 434, F8, 3, 22) (dual of [(434, 3), 1244, 23]-NRT-code) | [i] | ||
| 3 | Digital (36, 58, 434)-net over F8 | [i] | ||
| 4 | Linear OA(863, 532, F8, 22) (dual of [532, 469, 23]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(861, 527, F8, 22) (dual of [527, 466, 23]-code) | [i] | ✔ | |
| 6 | Linear OA(860, 523, F8, 22) (dual of [523, 463, 23]-code) | [i] | ✔ | |
| 7 | Linear OA(863, 523, F8, 23) (dual of [523, 460, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(867, 527, F8, 24) (dual of [527, 460, 25]-code) | [i] | ✔ | |