Information on Result #713440
Linear OA(743, 342, F7, 16) (dual of [342, 299, 17]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−4,−3,…,11}, and designed minimum distance d ≥ |I|+1 = 17
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(743, 338, F7, 2, 16) (dual of [(338, 2), 633, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(743, 338, F7, 3, 16) (dual of [(338, 3), 971, 17]-NRT-code) | [i] | ||
| 3 | Digital (27, 43, 338)-net over F7 | [i] | ||
| 4 | Linear OA(755, 366, F7, 19) (dual of [366, 311, 20]-code) | [i] | ✔ | Construction XX with Cyclic Codes |