Information on Result #611808
Linear OA(3144, 1594323, F3, 17) (dual of [1594323, 1594179, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17
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(3152, 1594332, F3, 17) (dual of [1594332, 1594180, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3154, 1594336, F3, 17) (dual of [1594336, 1594182, 18]-code) | [i] | ||
| 3 | Linear OA(3158, 1594337, F3, 19) (dual of [1594337, 1594179, 20]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(3144, 1594336, F3, 17) (dual of [1594336, 1594192, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(3174, 1594353, F3, 20) (dual of [1594353, 1594179, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(3148, 1594353, F3, 17) (dual of [1594353, 1594205, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(3191, 1594364, F3, 22) (dual of [1594364, 1594173, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(3192, 1594371, F3, 22) (dual of [1594371, 1594179, 23]-code) | [i] | ✔ | |
| 9 | Linear OA(3189, 1594368, F3, 21) (dual of [1594368, 1594179, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(3150, 1594368, F3, 17) (dual of [1594368, 1594218, 18]-code) | [i] | ✔ | |
| 11 | Linear OA(3208, 1594379, F3, 23) (dual of [1594379, 1594171, 24]-code) | [i] | ✔ | |
| 12 | Linear OA(3209, 1594388, F3, 23) (dual of [1594388, 1594179, 24]-code) | [i] | ✔ | |
| 13 | Linear OA(3207, 1594386, F3, 23) (dual of [1594386, 1594179, 24]-code) | [i] | ✔ | |