Information on Result #715972
Linear OA(888, 511, F8, 34) (dual of [511, 423, 35]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {49,50,…,82}, and designed minimum distance d ≥ |I|+1 = 35
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 Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(888, 504, F8, 2, 34) (dual of [(504, 2), 920, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(888, 504, F8, 3, 34) (dual of [(504, 3), 1424, 35]-NRT-code) | [i] | ||
| 3 | Digital (54, 88, 504)-net over F8 | [i] | ||
| 4 | Linear OA(8126, 570, F8, 40) (dual of [570, 444, 41]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(8125, 565, F8, 40) (dual of [565, 440, 41]-code) | [i] | ✔ | |
| 6 | Linear OA(8123, 560, F8, 40) (dual of [560, 437, 41]-code) | [i] | ✔ | |
| 7 | Linear OA(8123, 562, F8, 40) (dual of [562, 439, 41]-code) | [i] | ✔ | |
| 8 | Linear OA(8122, 560, F8, 40) (dual of [560, 438, 41]-code) | [i] | ✔ | |