Information on Result #612147
Linear OA(3199, 19684, F3, 33) (dual of [19684, 19485, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (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(3215, 19701, F3, 33) (dual of [19701, 19486, 34]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(3218, 19703, F3, 35) (dual of [19703, 19485, 36]-code) | [i] | ✔ | |
| 3 | Linear OA(3220, 19688, F3, 37) (dual of [19688, 19468, 38]-code) | [i] | ✔ | |
| 4 | Linear OA(3221, 19694, F3, 37) (dual of [19694, 19473, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(3222, 19704, F3, 37) (dual of [19704, 19482, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(3223, 19708, F3, 37) (dual of [19708, 19485, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(3219, 19688, F3, 36) (dual of [19688, 19469, 37]-code) | [i] | ✔ | |
| 8 | Linear OA(3220, 19697, F3, 36) (dual of [19697, 19477, 37]-code) | [i] | ✔ | |
| 9 | Linear OA(3221, 19706, F3, 36) (dual of [19706, 19485, 37]-code) | [i] | ✔ | |
| 10 | Linear OA(3200, 19703, F3, 33) (dual of [19703, 19503, 34]-code) | [i] | ✔ | |
| 11 | Linear OA(3243, 19712, F3, 39) (dual of [19712, 19469, 40]-code) | [i] | ✔ | |
| 12 | Linear OA(3245, 19720, F3, 39) (dual of [19720, 19475, 40]-code) | [i] | ✔ | |
| 13 | Linear OA(3246, 19725, F3, 39) (dual of [19725, 19479, 40]-code) | [i] | ✔ | |
| 14 | Linear OA(3247, 19732, F3, 39) (dual of [19732, 19485, 40]-code) | [i] | ✔ | |
| 15 | Linear OA(3243, 19725, F3, 38) (dual of [19725, 19482, 39]-code) | [i] | ✔ | |
| 16 | Linear OA(3244, 19729, F3, 38) (dual of [19729, 19485, 39]-code) | [i] | ✔ | |
| 17 | Linear OA(3207, 19712, F3, 33) (dual of [19712, 19505, 34]-code) | [i] | ✔ | |
| 18 | Linear OA(3209, 19720, F3, 33) (dual of [19720, 19511, 34]-code) | [i] | ✔ | |
| 19 | Linear OA(3210, 19725, F3, 33) (dual of [19725, 19515, 34]-code) | [i] | ✔ | |
| 20 | Linear OA(3211, 19732, F3, 33) (dual of [19732, 19521, 34]-code) | [i] | ✔ | |
| 21 | Linear OA(3207, 19725, F3, 32) (dual of [19725, 19518, 33]-code) | [i] | ✔ | |
| 22 | Linear OA(3208, 19729, F3, 32) (dual of [19729, 19521, 33]-code) | [i] | ✔ | |
| 23 | Linear OA(3216, 19755, F3, 33) (dual of [19755, 19539, 34]-code) | [i] | ✔ | |
| 24 | Linear OA(3246, 19731, F3, 39) (dual of [19731, 19485, 40]-code) | [i] | ✔ | |
| 25 | Linear OA(3210, 19731, F3, 33) (dual of [19731, 19521, 34]-code) | [i] | ✔ | |
| 26 | Linear OA(3215, 19754, F3, 33) (dual of [19754, 19539, 34]-code) | [i] | ✔ | |