Information on Result #713508
Linear OA(764, 342, F7, 25) (dual of [342, 278, 26]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−8,−7,…,16}, and designed minimum distance d ≥ |I|+1 = 26
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(764, 312, F7, 2, 25) (dual of [(312, 2), 560, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(764, 312, F7, 3, 25) (dual of [(312, 3), 872, 26]-NRT-code) | [i] | ||
| 3 | Digital (39, 64, 312)-net over F7 | [i] | ||
| 4 | Linear OA(777, 382, F7, 25) (dual of [382, 305, 26]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(776, 378, F7, 25) (dual of [378, 302, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(779, 378, F7, 26) (dual of [378, 299, 27]-code) | [i] | ✔ | |
| 7 | Linear OA(783, 382, F7, 27) (dual of [382, 299, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(788, 387, F7, 28) (dual of [387, 299, 29]-code) | [i] | ✔ | |