Information on Result #700707
Linear OA(317, 80, F3, 6) (dual of [80, 63, 7]-code), using the primitive cyclic code C(A) with length 80 = 34−1, defining set A = {0,1,2,4,53}, and minimum distance d ≥ |{−1,0,…,4}|+1 = 7 (BCH-bound)
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(317, 88, F3, 6) (dual of [88, 71, 7]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(323, 91, F3, 8) (dual of [91, 68, 9]-code) | [i] | ✔ | |
| 3 | Linear OA(322, 89, F3, 8) (dual of [89, 67, 9]-code) | [i] | ✔ | |