Information on Result #712434
Linear OA(719, 48, F7, 11) (dual of [48, 29, 12]-code), using the primitive BCH-code C(I) with length 48 = 72−1, defining interval I = {5,6,…,15}, and designed minimum distance d ≥ |I|+1 = 12
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(729, 62, F7, 15) (dual of [62, 33, 16]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(744, 71, F7, 23) (dual of [71, 27, 24]-code) | [i] | ✔ | |
| 3 | Linear OA(746, 73, F7, 24) (dual of [73, 27, 25]-code) | [i] | ✔ | |
| 4 | Linear OA(748, 75, F7, 25) (dual of [75, 27, 26]-code) | [i] | ✔ | |