Information on Result #712438
Linear OA(728, 48, F7, 18) (dual of [48, 20, 19]-code), using the primitive BCH-code C(I) with length 48 = 72−1, defining interval I = {6,7,…,23}, and designed minimum distance d ≥ |I|+1 = 19
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 Narrow-Sense BCH-Codes [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(745, 74, F7, 23) (dual of [74, 29, 24]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(741, 67, F7, 22) (dual of [67, 26, 23]-code) | [i] | ✔ | |
| 3 | Linear OA(753, 72, F7, 31) (dual of [72, 19, 32]-code) | [i] | ✔ | |
| 4 | Linear OA(752, 70, F7, 31) (dual of [70, 18, 32]-code) | [i] | ✔ | |
| 5 | Linear OA(755, 74, F7, 32) (dual of [74, 19, 33]-code) | [i] | ✔ | |