Information on Result #612260
Linear OA(3244, 19683, F3, 41) (dual of [19683, 19439, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41
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(3244, 19692, F3, 41) (dual of [19692, 19448, 42]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(3247, 19696, F3, 41) (dual of [19696, 19449, 42]-code) | [i] | ✔ | |
| 3 | Linear OA(3248, 19705, F3, 41) (dual of [19705, 19457, 42]-code) | [i] | ✔ | |
| 4 | Linear OA(3250, 19716, F3, 41) (dual of [19716, 19466, 42]-code) | [i] | ✔ | |
| 5 | Linear OA(3247, 19697, F3, 41) (dual of [19697, 19450, 42]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |