Information on Result #611937
Linear OA(3196, 1594323, F3, 23) (dual of [1594323, 1594127, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23
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(3207, 1594335, F3, 23) (dual of [1594335, 1594128, 24]-code) | [i] | (u, u+v)-Construction | |
2 | Linear OA(3210, 1594339, F3, 23) (dual of [1594339, 1594129, 24]-code) | [i] | ||
3 | Linear OA(3210, 1594337, F3, 25) (dual of [1594337, 1594127, 26]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
4 | Linear OA(3196, 1594336, F3, 23) (dual of [1594336, 1594140, 24]-code) | [i] | ✔ | |
5 | Linear OA(3226, 1594353, F3, 26) (dual of [1594353, 1594127, 27]-code) | [i] | ✔ | |
6 | Linear OA(3200, 1594353, F3, 23) (dual of [1594353, 1594153, 24]-code) | [i] | ✔ | |
7 | Linear OA(3243, 1594364, F3, 28) (dual of [1594364, 1594121, 29]-code) | [i] | ✔ | |
8 | Linear OA(3244, 1594371, F3, 28) (dual of [1594371, 1594127, 29]-code) | [i] | ✔ | |
9 | Linear OA(3241, 1594368, F3, 27) (dual of [1594368, 1594127, 28]-code) | [i] | ✔ | |
10 | Linear OA(3202, 1594368, F3, 23) (dual of [1594368, 1594166, 24]-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] | ✔ |