Information on Result #701370
Linear OA(728, 48, F7, 18) (dual of [48, 20, 19]-code), using the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19
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.
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 BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(733, 62, F7, 18) (dual of [62, 29, 19]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(750, 75, F7, 27) (dual of [75, 25, 28]-code) | [i] | ✔ | |
| 3 | Linear OA(749, 73, F7, 27) (dual of [73, 24, 28]-code) | [i] | ✔ | |