Information on Result #713446
Linear OA(755, 342, F7, 22) (dual of [342, 287, 23]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−7,−6,…,14}, 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 Expurgated Narrow-Sense BCH-Codes [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(755, 254, F7, 2, 22) (dual of [(254, 2), 453, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(755, 254, F7, 3, 22) (dual of [(254, 3), 707, 23]-NRT-code) | [i] | ||
| 3 | Digital (33, 55, 254)-net over F7 | [i] | ||
| 4 | Linear OA(766, 380, F7, 21) (dual of [380, 314, 22]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(768, 379, F7, 22) (dual of [379, 311, 23]-code) | [i] | ✔ | |
| 6 | Linear OA(764, 375, F7, 21) (dual of [375, 311, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(767, 377, F7, 22) (dual of [377, 310, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(763, 371, F7, 21) (dual of [371, 308, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(766, 373, F7, 22) (dual of [373, 307, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(769, 374, F7, 23) (dual of [374, 305, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(768, 372, F7, 23) (dual of [372, 304, 24]-code) | [i] | ✔ | |
| 12 | Linear OA(772, 376, F7, 24) (dual of [376, 304, 25]-code) | [i] | ✔ | |
| 13 | Linear OA(781, 385, F7, 26) (dual of [385, 304, 27]-code) | [i] | ✔ | |
| 14 | Linear OOA(755, 171, F7, 2, 22) (dual of [(171, 2), 287, 23]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(755, 114, F7, 3, 22) (dual of [(114, 3), 287, 23]-NRT-code) | [i] | ||