Information on Result #611864
Linear OA(3170, 1594323, F3, 20) (dual of [1594323, 1594153, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20
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(3180, 1594334, F3, 20) (dual of [1594334, 1594154, 21]-code) | [i] | (u, u+v)-Construction | |
2 | Linear OA(3184, 1594337, F3, 22) (dual of [1594337, 1594153, 23]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
3 | Linear OA(3170, 1594336, F3, 20) (dual of [1594336, 1594166, 21]-code) | [i] | ✔ | |
4 | Linear OA(3200, 1594353, F3, 23) (dual of [1594353, 1594153, 24]-code) | [i] | ✔ | |
5 | Linear OA(3174, 1594353, F3, 20) (dual of [1594353, 1594179, 21]-code) | [i] | ✔ | |
6 | Linear OA(3217, 1594364, F3, 25) (dual of [1594364, 1594147, 26]-code) | [i] | ✔ | |
7 | Linear OA(3218, 1594371, F3, 25) (dual of [1594371, 1594153, 26]-code) | [i] | ✔ | |
8 | Linear OA(3215, 1594368, F3, 24) (dual of [1594368, 1594153, 25]-code) | [i] | ✔ | |
9 | Linear OA(3176, 1594368, F3, 20) (dual of [1594368, 1594192, 21]-code) | [i] | ✔ | |
10 | Linear OA(3234, 1594379, F3, 26) (dual of [1594379, 1594145, 27]-code) | [i] | ✔ | |
11 | Linear OA(3235, 1594388, F3, 26) (dual of [1594388, 1594153, 27]-code) | [i] | ✔ | |
12 | Linear OA(3182, 1594379, F3, 20) (dual of [1594379, 1594197, 21]-code) | [i] | ✔ | |
13 | Linear OA(3233, 1594386, F3, 26) (dual of [1594386, 1594153, 27]-code) | [i] | ✔ | |
14 | Linear OA(3181, 1594386, F3, 20) (dual of [1594386, 1594205, 21]-code) | [i] | ✔ | |
15 | Linear OA(3250, 1594403, F3, 27) (dual of [1594403, 1594153, 28]-code) | [i] | ✔ |