Information on Result #611638
Linear OA(355, 19684, F3, 9) (dual of [19684, 19629, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(359, 19689, F3, 9) (dual of [19689, 19630, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(376, 19688, F3, 13) (dual of [19688, 19612, 14]-code) | [i] | ✔ | |
| 3 | Linear OA(377, 19694, F3, 13) (dual of [19694, 19617, 14]-code) | [i] | ✔ | |
| 4 | Linear OA(378, 19704, F3, 13) (dual of [19704, 19626, 14]-code) | [i] | ✔ | |
| 5 | Linear OA(379, 19708, F3, 13) (dual of [19708, 19629, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(375, 19688, F3, 12) (dual of [19688, 19613, 13]-code) | [i] | ✔ | |
| 7 | Linear OA(376, 19697, F3, 12) (dual of [19697, 19621, 13]-code) | [i] | ✔ | |
| 8 | Linear OA(377, 19706, F3, 12) (dual of [19706, 19629, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(356, 19703, F3, 9) (dual of [19703, 19647, 10]-code) | [i] | ✔ | |
| 10 | Linear OA(399, 19712, F3, 15) (dual of [19712, 19613, 16]-code) | [i] | ✔ | |
| 11 | Linear OA(356, 19704, F3, 9) (dual of [19704, 19648, 10]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |