Information on Result #701318
Linear OA(77, 48, F7, 4) (dual of [48, 41, 5]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(79, 52, F7, 5) (dual of [52, 43, 6]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(711, 52, F7, 6) (dual of [52, 41, 7]-code) | [i] | ✔ | |
| 3 | Linear OA(7104, 5764848, F7, 14) (dual of [5764848, 5764744, 15]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 4 | Linear OA(796, 5764848, F7, 13) (dual of [5764848, 5764752, 14]-code) | [i] | ||