Information on Result #700682
Linear OA(314, 26, F3, 8) (dual of [26, 12, 9]-code), using the primitive cyclic code C(A) with length 26 = 33−1, defining set A = {0,1,2,4,7,13}, and minimum distance d ≥ |{0,1,2}| + |{0,9,18,…,11}∖{−8,−7}| = 9 (general Roos-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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(315, 29, F3, 8) (dual of [29, 14, 9]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(314, 27, F3, 8) (dual of [27, 13, 9]-code) | [i] | ✔ | |
| 3 | Linear OA(316, 31, F3, 8) (dual of [31, 15, 9]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(314, 28, F3, 8) (dual of [28, 14, 9]-code) | [i] | ✔ | |