Information on Result #713434
Linear OA(737, 342, F7, 14) (dual of [342, 305, 15]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {46,47,…,59}, and designed minimum distance d ≥ |I|+1 = 15
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(737, 296, F7, 2, 14) (dual of [(296, 2), 555, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(737, 296, F7, 3, 14) (dual of [(296, 3), 851, 15]-NRT-code) | [i] | ||
| 3 | Digital (23, 37, 296)-net over F7 | [i] | ||
| 4 | Linear OA(746, 357, F7, 17) (dual of [357, 311, 18]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(751, 362, F7, 18) (dual of [362, 311, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(776, 383, F7, 24) (dual of [383, 307, 25]-code) | [i] | ✔ | |