Information on Result #713636
Linear OA(745, 342, F7, 17) (dual of [342, 297, 18]-code), using the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18
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(745, 314, F7, 2, 17) (dual of [(314, 2), 583, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(745, 314, F7, 3, 17) (dual of [(314, 3), 897, 18]-NRT-code) | [i] | ||
| 3 | Digital (28, 45, 314)-net over F7 | [i] | ||
| 4 | Linear OA(781, 378, F7, 27) (dual of [378, 297, 28]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(793, 389, F7, 30) (dual of [389, 296, 31]-code) | [i] | ✔ | |