Information on Result #611621
Linear OA(313, 16, F3, 9) (dual of [16, 3, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 16 | 34−1, defining interval I = [0,7], and minimum distance d ≥ |{−1,0,…,7}|+1 = 10 (BCH-bound)
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(314, 18, F3, 9) (dual of [18, 4, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(379, 98, F3, 38) (dual of [98, 19, 39]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OA(380, 99, F3, 39) (dual of [99, 19, 40]-code) | [i] | ||
| 4 | Linear OA(3203, 238, F3, 97) (dual of [238, 35, 98]-code) | [i] | ||
| 5 | Linear OA(3204, 239, F3, 98) (dual of [239, 35, 99]-code) | [i] | ||
| 6 | Linear OA(3126, 149, F3, 61) (dual of [149, 23, 62]-code) | [i] | ||
| 7 | Linear OA(3127, 150, F3, 62) (dual of [150, 23, 63]-code) | [i] | ||