Information on Result #611710
Linear OA(373, 19684, F3, 13) (dual of [19684, 19611, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(372, 19683, F3, 12) (dual of [19683, 19611, 13]-code) | [i] | Truncation | |
| 2 | Linear OA(379, 19691, F3, 13) (dual of [19691, 19612, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(392, 19703, F3, 15) (dual of [19703, 19611, 16]-code) | [i] | ✔ | |
| 4 | Linear OA(376, 19688, F3, 13) (dual of [19688, 19612, 14]-code) | [i] | ✔ | |
| 5 | Linear OA(377, 19694, F3, 13) (dual of [19694, 19617, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(378, 19704, F3, 13) (dual of [19704, 19626, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(379, 19708, F3, 13) (dual of [19708, 19629, 14]-code) | [i] | ✔ | |
| 8 | Linear OA(375, 19688, F3, 12) (dual of [19688, 19613, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(376, 19697, F3, 12) (dual of [19697, 19621, 13]-code) | [i] | ✔ | |
| 10 | Linear OA(377, 19706, F3, 12) (dual of [19706, 19629, 13]-code) | [i] | ✔ | |
| 11 | Linear OA(3117, 19712, F3, 19) (dual of [19712, 19595, 20]-code) | [i] | ✔ | |
| 12 | Linear OA(3119, 19720, F3, 19) (dual of [19720, 19601, 20]-code) | [i] | ✔ | |
| 13 | Linear OA(3120, 19725, F3, 19) (dual of [19725, 19605, 20]-code) | [i] | ✔ | |
| 14 | Linear OA(3117, 19725, F3, 18) (dual of [19725, 19608, 19]-code) | [i] | ✔ | |
| 15 | Linear OA(3118, 19729, F3, 18) (dual of [19729, 19611, 19]-code) | [i] | ✔ | |
| 16 | Linear OA(3119, 19723, F3, 19) (dual of [19723, 19604, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(3120, 19731, F3, 19) (dual of [19731, 19611, 20]-code) | [i] | ✔ | |
| 18 | Linear OA(392, 19704, F3, 15) (dual of [19704, 19612, 16]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 19 | Linear OOA(373, 9842, F3, 2, 13) (dual of [(9842, 2), 19611, 14]-NRT-code) | [i] | OOA Folding | |
| 20 | Linear OOA(373, 4921, F3, 4, 13) (dual of [(4921, 4), 19611, 14]-NRT-code) | [i] | ||