Information on Result #612060
Linear OA(3235, 1594323, F3, 28) (dual of [1594323, 1594088, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28
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(3234, 1594322, F3, 27) (dual of [1594322, 1594088, 28]-code) | [i] | Truncation | |
2 | Linear OA(3249, 1594338, F3, 28) (dual of [1594338, 1594089, 29]-code) | [i] | (u, u+v)-Construction | |
3 | Linear OA(3248, 1594336, F3, 29) (dual of [1594336, 1594088, 30]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
4 | Linear OA(3236, 1594337, F3, 28) (dual of [1594337, 1594101, 29]-code) | [i] | ✔ | |
5 | Linear OA(3239, 1594353, F3, 28) (dual of [1594353, 1594114, 29]-code) | [i] | ✔ | |
6 | Linear OA(3243, 1594364, F3, 28) (dual of [1594364, 1594121, 29]-code) | [i] | ✔ | |
7 | Linear OA(3244, 1594371, F3, 28) (dual of [1594371, 1594127, 29]-code) | [i] | ✔ | |
8 | Linear OA(3241, 1594368, F3, 27) (dual of [1594368, 1594127, 28]-code) | [i] | ✔ | |
9 | Linear OA(3247, 1594379, F3, 28) (dual of [1594379, 1594132, 29]-code) | [i] | ✔ | |
10 | Linear OA(3248, 1594388, F3, 28) (dual of [1594388, 1594140, 29]-code) | [i] | ✔ | |
11 | Linear OA(3244, 1594384, F3, 27) (dual of [1594384, 1594140, 28]-code) | [i] | ✔ | |
12 | Linear OA(3246, 1594386, F3, 28) (dual of [1594386, 1594140, 29]-code) | [i] | ✔ | |
13 | Linear OA(3250, 1594403, F3, 27) (dual of [1594403, 1594153, 28]-code) | [i] | ✔ | |
14 | Linear OOA(3235, 797161, F3, 2, 28) (dual of [(797161, 2), 1594087, 29]-NRT-code) | [i] | OOA Folding | |
15 | Linear OOA(3235, 531441, F3, 3, 28) (dual of [(531441, 3), 1594088, 29]-NRT-code) | [i] | ||
16 | Linear OOA(3235, 398580, F3, 4, 28) (dual of [(398580, 4), 1594085, 29]-NRT-code) | [i] | ||
17 | Linear OOA(3235, 318864, F3, 5, 28) (dual of [(318864, 5), 1594085, 29]-NRT-code) | [i] | ||
18 | Linear OOA(3235, 113880, F3, 28, 28) (dual of [(113880, 28), 3188405, 29]-NRT-code) | [i] | OA Folding and Stacking |