Information on Result #611613
Linear OA(346, 19683, F3, 8) (dual of [19683, 19637, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8
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(350, 19688, F3, 8) (dual of [19688, 19638, 9]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(356, 19693, F3, 10) (dual of [19693, 19637, 11]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(346, 19692, F3, 8) (dual of [19692, 19646, 9]-code) | [i] | ✔ | |
| 4 | Linear OA(367, 19696, F3, 11) (dual of [19696, 19629, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(368, 19705, F3, 11) (dual of [19705, 19637, 12]-code) | [i] | ✔ | |
| 6 | Linear OA(350, 19705, F3, 8) (dual of [19705, 19655, 9]-code) | [i] | ✔ | |
| 7 | Linear OA(380, 19710, F3, 13) (dual of [19710, 19630, 14]-code) | [i] | ✔ | |
| 8 | Linear OA(379, 19716, F3, 12) (dual of [19716, 19637, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(378, 19709, F3, 12) (dual of [19709, 19631, 13]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(377, 19707, F3, 12) (dual of [19707, 19630, 13]-code) | [i] | ✔ | |
| 11 | Linear OA(367, 19697, F3, 11) (dual of [19697, 19630, 12]-code) | [i] | ✔ | |
| 12 | Linear OA(358, 19697, F3, 10) (dual of [19697, 19639, 11]-code) | [i] | ✔ | |
| 13 | Linear OA(349, 19697, F3, 8) (dual of [19697, 19648, 9]-code) | [i] | ✔ | |
| 14 | Linear OA(356, 19694, F3, 10) (dual of [19694, 19638, 11]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 15 | Linear OA(347, 19694, F3, 8) (dual of [19694, 19647, 9]-code) | [i] | ✔ | |