Information on Result #612242
Linear OA(3235, 19684, F3, 39) (dual of [19684, 19449, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3236, 19703, F3, 39) (dual of [19703, 19467, 40]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(3243, 19712, F3, 39) (dual of [19712, 19469, 40]-code) | [i] | ✔ | |
| 3 | Linear OA(3245, 19720, F3, 39) (dual of [19720, 19475, 40]-code) | [i] | ✔ | |
| 4 | Linear OA(3246, 19725, F3, 39) (dual of [19725, 19479, 40]-code) | [i] | ✔ | |
| 5 | Linear OA(3247, 19732, F3, 39) (dual of [19732, 19485, 40]-code) | [i] | ✔ | |
| 6 | Linear OA(3243, 19725, F3, 38) (dual of [19725, 19482, 39]-code) | [i] | ✔ | |
| 7 | Linear OA(3244, 19729, F3, 38) (dual of [19729, 19485, 39]-code) | [i] | ✔ | |
| 8 | Linear OA(3246, 19731, F3, 39) (dual of [19731, 19485, 40]-code) | [i] | ✔ | |