Information on Result #700732
Linear OA(331, 80, F3, 12) (dual of [80, 49, 13]-code), using the primitive cyclic code C(A) with length 80 = 34−1, defining set A = {0,1,2,4,5,7,8,10,53}, and minimum distance d ≥ |{−1,0,…,10}|+1 = 13 (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(337, 101, F3, 12) (dual of [101, 64, 13]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(335, 95, F3, 12) (dual of [95, 60, 13]-code) | [i] | ✔ | |
| 3 | Linear OA(336, 99, F3, 12) (dual of [99, 63, 13]-code) | [i] | ✔ | |
| 4 | Linear OA(334, 93, F3, 12) (dual of [93, 59, 13]-code) | [i] | ✔ | |
| 5 | Linear OA(331, 86, F3, 12) (dual of [86, 55, 13]-code) | [i] | ✔ | |
| 6 | Linear OA(337, 91, F3, 14) (dual of [91, 54, 15]-code) | [i] | ✔ | |
| 7 | Linear OA(336, 89, F3, 14) (dual of [89, 53, 15]-code) | [i] | ✔ | |