Information on Result #713458
Linear OA(739, 342, F7, 15) (dual of [342, 303, 16]-code), using the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16
Mode: Constructive and linear.
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(739, 272, F7, 2, 15) (dual of [(272, 2), 505, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(739, 272, F7, 3, 15) (dual of [(272, 3), 777, 16]-NRT-code) | [i] | ||
| 3 | Digital (24, 39, 272)-net over F7 | [i] | ||
| 4 | Linear OA(748, 353, F7, 18) (dual of [353, 305, 19]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(784, 387, F7, 27) (dual of [387, 303, 28]-code) | [i] | ✔ | |