Information on Result #713282
Linear OA(731, 342, F7, 12) (dual of [342, 311, 13]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−3,−2,…,8}, and designed minimum distance d ≥ |I|+1 = 13
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(731, 254, F7, 2, 12) (dual of [(254, 2), 477, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(731, 254, F7, 3, 12) (dual of [(254, 3), 731, 13]-NRT-code) | [i] | ||
| 3 | Digital (19, 31, 254)-net over F7 | [i] | ||
| 4 | Linear OA(734, 357, F7, 12) (dual of [357, 323, 13]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(733, 353, F7, 12) (dual of [353, 320, 13]-code) | [i] | ✔ | |
| 6 | Linear OA(736, 353, F7, 13) (dual of [353, 317, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(740, 357, F7, 14) (dual of [357, 317, 15]-code) | [i] | ✔ | |