Information on Result #713531
Linear OA(767, 342, F7, 26) (dual of [342, 275, 27]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−8,−7,…,17}, and designed minimum distance d ≥ |I|+1 = 27
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 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(767, 331, F7, 2, 26) (dual of [(331, 2), 595, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(767, 331, F7, 3, 26) (dual of [(331, 3), 926, 27]-NRT-code) | [i] | ||
| 3 | Digital (41, 67, 331)-net over F7 | [i] | ||
| 4 | Linear OA(780, 382, F7, 26) (dual of [382, 302, 27]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(779, 378, F7, 26) (dual of [378, 299, 27]-code) | [i] | ✔ | |
| 6 | Linear OA(782, 378, F7, 27) (dual of [378, 296, 28]-code) | [i] | ✔ | |
| 7 | Linear OA(786, 382, F7, 28) (dual of [382, 296, 29]-code) | [i] | ✔ | |
| 8 | Linear OA(793, 389, F7, 30) (dual of [389, 296, 31]-code) | [i] | ✔ | |
| 9 | Linear OA(792, 388, F7, 30) (dual of [388, 296, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(797, 393, F7, 31) (dual of [393, 296, 32]-code) | [i] | ✔ | |
| 11 | Linear OA(7101, 397, F7, 32) (dual of [397, 296, 33]-code) | [i] | ✔ | |