Information on Result #715182
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 = {−8,−7,…,13}, 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(871, 547, F8, 22) (dual of [547, 476, 23]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(870, 545, F8, 22) (dual of [545, 475, 23]-code) | [i] | ✔ | |
| 6 | Linear OA(869, 542, F8, 22) (dual of [542, 473, 23]-code) | [i] | ✔ | |
| 7 | Linear OA(871, 548, F8, 22) (dual of [548, 477, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(874, 548, F8, 23) (dual of [548, 474, 24]-code) | [i] | ✔ | |
| 9 | Linear OA(879, 553, F8, 25) (dual of [553, 474, 26]-code) | [i] | ✔ | |
| 10 | Linear OA(877, 551, F8, 24) (dual of [551, 474, 25]-code) | [i] | ✔ | |