Information on Result #713289
Linear OA(724, 342, F7, 9) (dual of [342, 318, 10]-code), using the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10
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(724, 333, F7, 2, 9) (dual of [(333, 2), 642, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(724, 333, F7, 3, 9) (dual of [(333, 3), 975, 10]-NRT-code) | [i] | ||
| 3 | Digital (15, 24, 333)-net over F7 | [i] | ||
| 4 | Linear OA(730, 354, F7, 11) (dual of [354, 324, 12]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(739, 363, F7, 13) (dual of [363, 324, 14]-code) | [i] | ✔ | |